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2024-12-07 04:41:19 +03:00
//works from OpenSCAD version 2021 maintained at https://github.com/UBaer21/UB.scad
/* save here
• Windows: ..\Documents\OpenSCAD\libraries
• Linux: $HOME/.local/share/OpenSCAD/libraries/
• Mac OS X: $HOME/Documents/OpenSCAD/libraries/
Open SCAD library www.openscad.org by ulrich.baer+openscad@gmail.com (mail me if you need help - i am happy to assist)
Copy this file into your libaries directory (File » show Libraries)
[https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Libraries]
Use it by starting your project with including the library.
All needed Information will be displayed in your console window, you may need to make that bigger.
Write:
include<ub.scad>;
[https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Include_Statement]
name="my project"; // the name will never be rendered
helpsw=1; // switch to show the information (1-5 or true)
$info=1; // switch to get feedback/info from objects
helpM=1; // switch to get help for used objects
nozzle=.4; // set your printers nozzle diameter
layer=.2; // set your layerhigh
show=2; // will show you Object n (any number) from this library
anima=1; // activate animation variables else "tset=.5" can be used
vp=1; // switch fixed Viewports
bed=true // Print bed active (centers vp printPos)
name="object"; // used in modules for showing name or number - if 0 no info is shown
Changelog (archive at the very bottom)
000|22 prepare release CHG VarioFill
001|22 CHG MKlon
002|22 CHG Line
004|22 FIX Gewinde CHG Vollwelle CHG Caliper CHG GewindeV3
005|22 CHG Gewinde
006|22 CHG Anschluss FIX Zylinder
007|22 FIX Ellipse CHG Points ADD PolyH
008|22 FIX Ttorus CHG PolyH CHG RotLang
009|22 CHG Points add center CHG kreis add z CHG quad add z
011|22 FIX Box Prisma FIX Gewinde
012|22 CHG Rosette Add id od FIX spelling help CHG Anorden (fix for 2021.1)
0121|22 FIX Anordnen FIX SRing FIX Knochen
013|22 CHG Rosette autocalc
015|22 FIX Gewinde
016|22 CHG RingSeg FIX Kassette help CHG Superellipse
019|22 CHG Schnitt size
020|22 CHG KBS CHG Prisma CHG Box CHG Pille
021|22 CHG Pille FIX m chg v3 chg stern CHG Buchtung CHG Schnitt size
022|22 CHG Kassette ADD pathPoints CHG kreis ADD Coil ADD wStern CHG vektorWinkel CHG Halb CHG Superellipse CHG Glied ADD SGlied CHG Prisma ADD Tdrop CHG Bezier
Release
*/
//libraries direkt (program folder\oscad\libaries) !
/*[UB lib]*/
test=42;
/*[Global]*/
helpsw=false;//activates help in console window
//animation
anima=false;
// use print Bed as center and show boarder
bed=false;
info=true; // switch for customizer
debug=$preview?anima?false:info:false;
$info=debug;//activates module information (name)
//viewpoint
//vp=false;
vp=$preview?false:true;
//Project name
name=undef;
//Düsen ∅
nozzle=0.6;
//Layer hight
layer=0.08;// one step = 0.04 (8mm/200steps)
//Print Bed
printBed=[220,220];
//Printposition;
pPos=[0,0];
printPos=bed?concat(printBed,0)/2+pPos:[0,0,0];
//global fragment size
hires=false;
fn=$fn?$fn:$preview?36:
hires?144:
72;
fs=$preview?1.25:hires?.4:.75;
fa=$preview?5:hires?.5:1;
//demo objects
show=0;
//animation var
tset=0;//[0:.01:1]
//clearance
spiel=0.20;
pivotSize=$vpd/15;
viewportSize=$preview?tan($vpf)*$vpd:50000; // größe Sichtfeld
vpt=is_num(printPos.z)?printPos:concat(printPos,0);
vpr=bed?[55.00,0.00,25.00]:$vpr;
vpd=bed?300:$vpd;//[50:5:350]
vpf=22.5;
//display project name
texton=name!=undef?$preview?true:false:false;
// Colors
helpMColor="";//"#5500aa";
/*[Constant]*/
/*[Hidden]*/
Version=22.022;// <<< --- VERSION VERSION VERSION ••••••••••••••••
useVersion=undef;
UB=true;
PHI=1.6180339887498948;//1.618033988;
gw=360-360/PHI;// goldener Winkel;
tw=acos(-1/3);// tetraeder winkel;
twF=acos(1/3);// tetraeder winkel face edge face;
inch=25.4; // inch/Zoll
minVal=0.0000001; // minimum für nicht 0
needs2D=["Rand","WKreis","Welle","Rund","Rundrum", "LinEx", "RotEx","SBogen","Bogen","HypKehle"]; // modules needing 2D children
//echo(tw,twF);
//PHI=(1+sqrt(5))/2;
assert(useVersion?Version>=useVersion:true,str("lib version ",Version," detected, install ",useVersion," ub.scad library‼ ⇒http://v.gd/ubaer"));
assert(version()[0]>2019,"Install current http://openscad.org version");
function l(x)=x*layer;
function n(x)=sign(x)*(abs(x)*nozzle+0.015);// 0.015 padding for slicer
function Inkreis(eck,rU)=cos(180/eck)*rU;
function Umkreis(eck,rI)=rI/cos(180/eck);
function Hypotenuse(a,b)=sqrt(pow(a,2)+pow(b,2));
function Kathete(hyp,kat)=sqrt(pow(hyp,2)-pow(kat,2));
function Sehne(n,r,a)=is_undef(a)?2*r*sin(180/n):2*r*sin(a/2);// n-eck oder a=α winkel zum r=radius
function t3(wert=1,grad=360,delta=0)=sin(($preview?anima?$t:tset:tset)*grad+delta)*wert;
function RotLang(rot=0,l=10,l2,z,e,lz)=let(
rot=is_undef(rot)?0:rot%360,
l=is_undef(l)?0:l,
l2=is_undef(l2)?l:l2,
lz=is_undef(lz)?l:lz
)
is_undef(z)?is_undef(e)?[sin(rot)*l,cos(rot)*l2]:[sin(rot)*cos(e%360)*l,cos(rot)*cos(e%360)*l2,sin(e%360)*lz]:[sin(rot)*l,cos(rot)*l,z];
function Bezier(t,p0=[0,0],p1=[-20,20],p2=[20,20],p3=[0,0])=bezier(t,p0,p1,p2,p3);
function bezier(t,p0=[0,0],p1=[-20,20],p2=[20,20],p3=[0,0])=
let(
omt = 1 - t,
omt2 = omt * omt,
t2 = t * t
)
p0*(omt2*omt) + p1*(3*omt2*t) + p2*(3*omt*t2) + p3*(t2*t);
function Kreis(r=10,rand=+5,grad=360,grad2,fn=fn,center=true,sek=true,r2=0,rand2,rcenter=0,rot=0,t=[0,0])=kreis(r,rand,grad,grad2,fn,center,sek,r2,rand2,rcenter,rot,t);
function kreis(r=10,rand=+5,grad=360,grad2,fn=fn,center=true,sek=true,r2=0,rand2,rcenter=0,rot=0,t=[0,0],z,d)=
let (
grad2=is_undef(grad2)?grad:grad2,
r=is_num(d)?rcenter?(d+rand)/2:d/2:
rcenter?r+rand/2:r,
rand2=is_undef(rand2)?rand:rand2,
r2=r2?
rcenter?r2+rand2/2:r2
:r,
fn=max(1,floor(abs(fn))),
step=grad/fn,
step2=grad2/fn
)
is_num(z)?[
if(!sek&&!rand&&abs(grad)!=360&&grad)[0+t[0],0+t[1],z], // single points replacement
if(grad)for(i=[0:fn])
let(iw=abs(grad)==360?i%fn:i)
[sin(rot+(center?-grad/2-90:0)+iw*step)*r +t[0],
cos(rot+(center?-grad/2-90:0)+iw*step)*r2 +t[1],
z],
if(rand)for(i=[0:fn])
let(iw=abs(grad2)==360?i%fn:i)
[sin(rot+(center?grad2/2-90:grad2)+iw*-step2)*(r -rand )+t[0],
cos(rot+(center?grad2/2-90:grad2)+iw*-step2)*(r2 -rand2)+t[1],
z]
]:
[
if(!sek&&!rand&&abs(grad)!=360&&grad||r==0)[0+t[0],0+t[1]], // single points replacement
if(r&&grad)for(i=[0:fn])
let(iw=abs(grad)==360?i%fn:i)
[sin(rot+(center?-grad/2-90:0)+iw*step)*r+t[0],
cos(rot+(center?-grad/2-90:0)+iw*step)*r2+t[1]],
if(rand)for(i=[0:fn])
let(iw=abs(grad2)==360?i%fn:i)
[sin(rot+(center?grad2/2-90:grad2)+iw*-step2)*(r-rand)+t[0],
cos(rot+(center?grad2/2-90:grad2)+iw*-step2)*(r2-rand2)+t[1]]
];
//PolyH([for(i=[0:100])each kreis(z=i/10,r=5+sin(i*3.6)*2)],loop=fn +fn+2);
function kreisXY(r=5,grad=0)=[r*sin(grad),r*cos(grad)];//depreciated use RotLang
function KreisXY(r=5,grad=0)=kreisXY(r,grad);//depreciated use RotLang
function 5gon(b1=20,l1=15,b2=10,l2=30)=[[0,0],[b1,l1],[b2,l2],[-b2,l2],[-b1,l1]];
function ZigZag(e=5,x=50,y=5,mod=2,delta=+0,base=2,shift=0)=zigZag(e,x,y,mod,delta,base,shift);
function zigZag(e=5,x=50,y=5,mod=2,delta=+0,base=2,shift=0)=[for(i=[0:e*mod])[i%mod<mod/2+delta?i*x/(e*mod):i*x/(e*mod)+shift,i%mod<mod/2+delta?base:y],[x,0],[0,0]];
function TangentenP(//Tangenten schnittpunkt ab Kreis mit radius rad
grad=150, // Winkel der Tangenten
rad=20, // Kreis radius
r=0// Kreislinien abstand von 0
)=
let(
c=sin(abs(grad)/2)*rad*2,// Sekante
w1=abs(grad)/2, // Schenkelwinkel
w3=180-abs(grad), // Scheitelwinkel
a=(c/sin(w3/2))/2,
hc=grad!=180?Kathete(a,c/2):0, // Sekante tangenten center
hSek=Kathete(rad,c/2), //center Sekante
tsRadius=r-rad+hc+hSek
)
tsRadius;
// two digit dec max 255
function Hex(dec)=
let(
dec=min(abs(dec),255),
sz=floor(dec/16),
s1=floor(dec)-(sz*16)
)
str(sz>14?"F":
sz>13?"E":
sz>12?"D":
sz>11?"C":
sz>10?"B":
sz>9?"A":sz,
s1>14?"F":
s1>13?"E":
s1>12?"D":
s1>11?"C":
s1>10?"B":
s1>9?"A":s1
);
function Hexstring(c)=str("#",Hex(c[0]*255),Hex(c[1]*255),Hex(c[2]*255));
function RotPoints(grad,points)=[for(i=[0:len(points)-1])RotLang(rot=atan2(points[i][0],points[i][1])+grad,l=norm([points[i][0],points[i][1]]),z=points[i][2])];
function negRed(num)=num<0?str("🔻",num):num==0?str("⚠",num):num; // display console text
function gradB(b,r)=360/(PI*r*2)*b; // winkel zur Bogen strecke b des Kreisradiuses r
function gradS(s,r)=asin(s/(2*r))*2;// winkel zur Sehne s des Kreisradiuses r
function radiusS(n,s,a)=(s/2)/(sin((is_undef(n)?a:360/n)/2));// Radius zur Sehne
function runden(x,dec=2)=round(x*pow(10,dec))/pow(10,dec);//auf komastelle runden
//convert angle
function grad(grad=0,min=0,sec=0,h=0,prozent=0,gon=0,rad=0)=gradC(grad,min,sec,h,prozent,gon,rad); // compatibility as renamed gradC
function gradC(grad=0,min=0,sec=0,h=0,prozent=0,gon=0,rad=0)=grad+h/24*360+min/60+sec/3600+atan(prozent/100)+gon/400*360+rad/(2*PI)*360;
function inch(inch)=inch*25.4;
function kreisbogen(r,grad=360)=PI*r*2/360*grad;
function fs2fn(r,grad=360,fs=fs,minf=3)=max(minf,PI*r*2/360*grad/fs);
function clampToX0(points,interval=minVal)=is_list(points[0])?[for(e=points)[abs(e[0])>interval?e[0]:0,e[1]]]:
[abs(points[0])>interval?points[0]:0,points[1]];
// angle between two points used for e.g. Bezier
vektorWinkel= function(p1=[0,0,0],p2=[0,0,0])p1==p2?[0,0,0]:[
-acos((v3(p2).z-v3(p1).z)/norm(p2-p1))+90,
0,
atan2(p2.y-p1.y,p2.x-p1.x)-90
];
function v3( v ) =is_num(v.y)?is_num(v.z)?len(v)==3?v: // make everything to a vector3
[v.x,v.y,v.z]:
concat(v,[0]):
concat(v,[0,0]);
// list of parent modules [["name",id]]
function parentList(n=-1,start=1)= is_undef($parent_modules)||$parent_modules==start?undef:[for(i=[start:$parent_modules +n])[parent_module(i),i]];
// kleinster teiler
teiler = function (n,div=2) (n%div)?div>n?n:
teiler(n=n,div=div+1):
div;
// generates G-Code (G1 x,y,(z),(e),(f))
gcode=function(points,chunksize=600,i,f)
let(i=is_undef(i)?len(points)-1:i,
chunk=function(pos=0,end) (pos+1)>end?str(chunk(pos=pos-1,end=end),
"\nG1 X",
points[pos].x,
" Y",points[pos].y,
len(points[pos])>2?str(" Z",points[pos].z,""):"",
len(points[pos])>3?str(" E",points[pos][3],""):"",
is_num(f)||len(points[pos])>4?str(" F",len(points[pos])==5?points[pos][4]:f):"",""):""
)
i>= 0?str(gcode(i=i-chunksize,chunksize=chunksize,points=points),chunk(i,max(0,i-chunksize))):"";
function b(n,bool)= is_list(n)?[for(i=[0:len(n)-1])b(n[i],bool)]:
is_num(n)?bool||is_undef(bool)?n?true:
false:
n?n:
0:
bool?n?true: // n = bool
false:
n?1:
0;
function scaleGrad(grad=45,h=1,r=1)=assert(grad!=0)max(0,(r-(h/tan(grad)))/r);
function is_parent(parent= needs2D, i= 0)=
is_list(parent)?is_num(search(parent,parentList())[i])?true:
i<len(parent)-1?is_parent(parent=parent,i=i+1):
false:
is_num(search([parent],parentList())[0]);
// multmatrix vector for point multiplications
/*
[Scale X] [Shear X along Y] [Shear X along Z] [Translate X]
[Shear Y along X] [Scale Y] [Shear Y along Z] [Translate Y]
[Shear Z along X] [Shear Z along Y] [Scale Z] [Translate Z]
*/
m = function (r=[0,0,0], t=[0,0,0], s=[1,1,1])//t2=[0,0,0],
let(
s=is_num(s)?[s,s,s]:
len(s)==2?concat(s,[1]):
s,
r=is_num(r)?[0,0,r]:len(r)==3?r:v3(r),
t=is_list(t)?len(t)==2?concat(t,[0]):len(t) == 3?t:v3(t):v3(t),
//t2=len(t2)==2?concat(t2,[0]):t2,
rx = function (x)[
[1, 0, 0, t.x],
[0,cos(x),-sin(x), t.y],
[0,sin(x), cos(x), t.z],
[0,0,0,0]
],
ry = function (y) [
[ cos(y), 0, sin(y), t.x],
[0 , 1, 0 , t.y],
[-sin(y), 0, cos(y), t.z],
[0,0,0,0]
],
rz = function (z) [
[cos(z), -sin(z), 0, t.x],
[sin(z), cos(z), 0, t.y],
[0 , 0, 1, t.z],
[0,0,0,0]
],
/*
mt = function (t2=[0,0,0])[
[1, 0, 0, t2.x],
[0, 1, 0, t2.y],
[0, 0, 1, t2.z],
[0, 0, 0, 0]
],
*/
ms = function (s=[ 1, 1, 1],t=t)[
[s.x, 0, 0, t.x],
[0, s.y, 0, t.y],
[0, 0, s.z, t.z],
[0, 0, 0, 0]
],
out=rz(r.z)*ry(r.y)*rx(r.x)*ms(s)//*mt(t2)*
)
out;
function mPoints(points=[0,0], r=[0,0,0], t=[0,0,0], s=[1,1,1])=
let(
pointsI=is_list(points[0])?points:[points],
dimension=len(pointsI[0]),
out=
[for(i=[0:len(pointsI)-1])m(r=r,t=t,s=s)*
concat(pointsI[i],
dimension==3?[1]:concat([for(dim=[1:3-dimension])0],[1]) // add to vector
)
+[for(dim=[0:dimension-1])0]] // mask vector
)is_list(points[0])?out:out[0];
/*
rot=[+27,+28,+75];
sc=[1.3,0.4,1.3];
tr=[14,15,13];
p=[
[-10, 0, 0],
[ 10, 0, 0],
[ 0, 10, 0],
[ 0,-10, 0],
[ 0, 0, 10],
[ 0, 0,-10]
];
a=[[for (i=[0:len(p)-1])i]];
T(0)Color(alpha=.5)scale(1.0001)hull()polyhedron(p2,a);
rotate(rot)translate(tr)scale(sc)hull()polyhedron(p,a);
p2=mPoints(mPoints(p,t=tr,r=rot,s=sc),t=[0,0]);
//*/
function pathPoints(points=[[0,0,0],[0,10,0],[10,0,0]],path=[[0,0,0],[0,+10,10]],twist=0,scale=1,open=true)=
let(pathLen=len(path)-1,
scale=is_list(scale)?scale:[scale,scale])
[for (i=[0:pathLen],j=[0:len(points)-1])
mPoints ( v3( mPoints(points[j],r=i*twist/pathLen) ) ,
r=vektorWinkel( path[ open? max(0,i-1): (i==0?pathLen -1:i-1)], path[open?min(i+1,pathLen):(i+1)%pathLen])+[-90,0,0],
s=[1+i*(-1+scale.x)/pathLen,1+i*(-1+scale.y)/pathLen])
+ v3(path[i])];
function octa (s=1) =
let(
s=is_list(s)?s:
[s,-s,s,-s,s,-s]
)
[
[ s[1], 0, 0],
[ s[0], 0, 0],
[ 0, s[2], 0],
[ 0, s[3], 0],
[ 0, 0, s[4]],
[ 0, 0, s[5]]
];
//hull() polyhedron(octa(),[[for(i=[0:len(octa())-1])i]]);
function quad (x=10,y,r=1, z,fn=fn) =
let(
y=is_list(x)?x.y:is_undef(y)?x:y,
x=is_list(x)?x.x:x,
r=is_list(r)?r:[r,r,r,r],
fn=fn/4+0
)
concat(
kreis(t=[ x/2 -r[0], y/2 -r[0] ],r=r[0],rand=0,grad=90,rot=0 , center=false,fn=fn,z=z),
kreis(t=[ x/2 -r[1], -y/2 +r[1] ],r=r[1],rand=0,grad=90,rot=90 , center=false,fn=fn,z=z),
kreis(t=[-x/2 +r[2], -y/2 +r[2] ],r=r[2],rand=0,grad=90,rot=180, center=false,fn=fn,z=z),
kreis(t=[-x/2 +r[3], y/2 -r[3] ],r=r[3],rand=0,grad=90,rot=270, center=false,fn=fn,z=z)
);
/*
polygon(quad(x=15,fn=16));
points=[for(i=[0:10])each quad(z=i,r=1.000+sin(i*36-90)*1,fn=36)];
PolyH(points,loop=fn +4 );
Points(points,loop=(fn+4)*3,start=(fn+4)*5,hull=0);
//*/
function stern (e=5,r1=10,r2=5,mod=2,delta=+0,z)=
let(
schritt=360/(e*mod))
is_num(z)?
[for(i=[0:e*mod])
i%mod<mod/2+round(delta)?[sin(i*schritt%360)*r1,cos(i*schritt%360)*r1,z]:
[sin(i*schritt%360)*r2,cos(i*schritt%360)*r2,z]
]:
[for(i=[0:e*mod])
i%mod<mod/2+round(delta)?[sin(i*schritt%360)*r1,cos(i*schritt%360)*r1]:
[sin(i*schritt%360)*r2,cos(i*schritt%360)*r2]
];
//polygon(stern());
function wStern(f=5,r=1.65,a=.25,r2,fn=fn,rot=0,z)=
let(step=360/fn,
a=is_undef(r2)?a:(r2-r)/2,
r=is_undef(r2)?r:r+a)
[for(i=[0:fn])let(i=i%fn)is_undef(z)?
[(r+a*cos(f*i*step+rot))*sin(i*step),(r+a*cos(f*i*step+rot))*cos(i*step)]:
[(r+a*cos(f*i*step+rot))*sin(i*step),(r+a*cos(f*i*step+rot))*cos(i*step),z]];
// polygon (wStern(f=5,r=1.65,a=.25,rot=180));
function tetra(r=1)=
let(
r=is_list(r)?r:[r,r,r,r]
)
[
[ 0, 0, r[0]],
for(i=[0:2])[sin(120*i)*sin(tw)*r[i+1],cos(120*i)*sin(tw)*r[i+1],cos(tw)*r[i+1]]
];
//hull()polyhedron(tetra(),[[0,1,2,3]]);
function superellipse(n=2.5,r=10,z,fn=fn)=
let(
r2=is_undef(r2)?is_list(r)?r.y:
r:
r2,
r=is_list(r)?r.x:r,
n11=is_list(n)?n[0]:n,
n12=is_list(n)?n[1]:n,
n13=is_list(n)?n[2]:n,
n14=is_list(n)?n[3]:n,
n2=is_undef(n2)?n:n2,
n21=is_list(n2)?n2[0]:n2,
n22=is_list(n2)?n2[1]:n2,
n23=is_list(n2)?n2[2]:n2,
n24=is_list(n2)?n2[3]:n2
)
is_undef(z)?[for(f=[0:fn])let(i=f%fn*360/fn)each[
if(i<=90)[r*pow(sin(i),2/n11),r2*pow(cos(i),2/n21)],
if(i>90&&i<=180)[r*pow(abs(sin(i)),2/n12),-r2*pow(abs(cos(i)),2/n22)],
if(i>180&&i<=270)[-r*pow(abs(sin(i)),2/n13),-r2*pow(abs(cos(i)),2/n23)],
if(i>270&&i)[-r*pow(abs(sin(i)),2/n14),r2*pow(abs(cos(i)),2/n24)],
]
]:
[for(f=[0:fn])let(i=f%fn*360/fn)each[
if(i<=90)[r*pow(sin(i),2/n11),r2*pow(cos(i),2/n21),z],
if(i>90&&i<=180)[r*pow(abs(sin(i)),2/n12),-r2*pow(abs(cos(i)),2/n22),z],
if(i>180&&i<=270)[-r*pow(abs(sin(i)),2/n13),-r2*pow(abs(cos(i)),2/n23),z],
if(i>270&&i)[-r*pow(abs(sin(i)),2/n14),r2*pow(abs(cos(i)),2/n24),z],
]
];
//polygon(superellipse(r=[5,2]));
//Coil(points=superellipse(r=[3,2],n=3.5));
///////////////////////////////////////////////////////
$fn=fn;
$fs=fs;
$fa=fa;
help=$preview?anima?false:helpsw:false;
helpHelper= helpsw==1||helpsw==true?true:false; //Helper
helpMod= helpsw==2||helpsw==true?true:false; // Objektmodifikatoren
help2D= helpsw==3||helpsw==true?true:false; // 2D Objekte
helpB= helpsw==4||helpsw==true?true:false; //Basis help
helpP= helpsw==5||helpsw==true?true:false; //Produkte help
helpFunc= helpsw==6||helpsw==true?true:false;//Funktionen
//helpM=help;//module help old
$helpM=help;//module help
$t=$preview?anima?$t:tset:tset;
t=$t;
t0=$t*360%360;
t1=sin($t*360);
t2=sin($t*180);
$vpr=vp?vpr:$vpr;
$vpt=vp?vpt:$vpt;
$vpd=vp?vpd:$vpd;
$vpf=vp?vpf:$vpf;
messpunkt=$preview?$info:false;//1 für aktiv
$messpunkt=messpunkt;
//n=0;
if (texton)%T(20,-30,25)R(90)color("slategrey")text(str(name),font="DejaVusans:style=bold",halign="left",size=3,$fn=100);
if (bed&&!anima)color(alpha=.1)%Rand(-5,delta=1)square(printBed);
if(version()[0]<2021)
echo(str("<p style=background-color:#ccccdd>",
"<ul> •••••••••••••••••••••••••• UB (USER libary v2019) included! <a href=http://v.gd/ubaer> v.gd/ubaer </a> •••••••••••••••••••••••••\n",
"••• Version: β",Version," v ",version()," —— Layer: ",layer," Nozzle ∅: ",nozzle," ••• fn=",fn,"••• Spiel: ",spiel," •••"));
else if(!anima) { echo(str("•••••••••••••••••• UB (USER library v2021) included! v.gd/ubaer •••••••••••••••••"));
echo(str("• Version: β",Version," v ",version()," — Layer: ",layer," Nozzle ∅: ",nozzle," • fn=",fn," • Spiel: ",spiel," •"));
}
if (!help&&!anima) if(version()[0]<2021)echo ("<h4 style=background-color:lightgrey>••••• Help off use: helpsw=1; •••••");
else echo ("❌••••• Help off use: helpsw=1; •••••");
if (help&&!anima||help2D||helpMod||helpFunc||helpB||helpP||helpHelper)
{
echo ("••••••• Konstanten: ••••••••");
echo(PHI=PHI,gw=gw,tw=tw,twF=twF,inch=inch);
//echo(str("•••••••••• Help is on! (helpsw=1)•• debug=",debug," ••••••••••••••••••••••••"));
//echo();
if (show)echo(str("🟣 ••• show=",show));
if(!helpHelper)echo("❌••••• Helper List off — use» helpHelper=true; •••••");
if (helpHelper){
echo ("•••••••••• Helper: •••••••••••••••\n
• Schnitt(help=1) cuts children\n
• Col(help=1) colors children with palette\n
• Color(help=1) colors children with hue\n
• Pivot(help=1) marks p0\n
• Line(help=1) line p0⇔p1 \n
• SCT(help=1) output sin cos tan\n
• Caliper(help=1) measure \n
• Points(help=1) numbers points\n
• Anordnen(help=1) arranges \n
• InfoTxt(help=1) output Infotxt \n
• HelpTxt(help=1) output helptxt \n
• Echo(help=1) output txt \n
• 3Projection(help=1) projects child along axis \n
");
}
if(!helpFunc)echo("❌••••• Functions List off — use» helpFunc=true; •••••");
if (helpFunc){
echo ("•••••••••• Funktionen: •••••••••••••••");
echo ("
••• l(x) Layer\n
••• n(x) Nozzledurchmesser\n
••• Inkreis(eck, rU)\n
••• Umkreis(eck, rI)\n
••• Hypotenuse(a, b) length\n
••• Kathete(hyp, kat) length\n
••• Sehne(n, r, a) length n-eck/alpha winkel •••\n
••• RotLang(rot, l, z, e, lz) [vector] (e=elevation)•••\n
••• bezier(t, p0=[0,0], p1=[-20,20],p2=[20,20],p3=[0,0]) points •••\n
••• kreis(r=10, rand=+5, grad=360,grad2=+0,fn=fn,center=true,sek=true,r2=0,rand2=0,rcenter=0,rot=0,t=[0,0],z=undef) points •••\n
///••• kreisXY(r=5, grad=0) [vector]•••\n
••• 5gon(b1=20, l1=15, b2=10, l2=30) points •••\n
••• ZigZag(e=5, x=50, y=5, mod=2, delta=+0, base=2, shift=0) points •••\n
••• TangentenP(grad, rad, r) length •••\n
••• Hexstring(c=[r, g, b]) #hexcolor •••\n
••• RotPoints(grad, points) •••\n
••• negRed(num) negative consolen Werte in rot•••\n
••• gradB(b, r) grad zum Bogenstück b •••\n
••• gradS(s, r) grad zur Sehne s •••\n
••• vollwelle() ⇒ Vollwelle(help=1) •••\n
••• runden(x, dec=2) x runden auf Dezimalstelle ••• \n
••• radiusS(n, s, a) radius zur Sehne ••• \n
••• gradC(grad=0, min=0, sec=0, h=0, prozent=0, gon=0, rad=0) Winkelmaßumrechnung ••• \n
••• inch(inch) Inch⇒mm •••\n
••• kreisbogen(r, grad=360) ••• \n
••• fs2fn(r, grad=360, fs=fs,minf=3); •••\n
••• vektorWinkel(p1, p2, twist=0); •••\n
••• v3(v); makes v a vector3 •••\n
••• parentList(n=-1, start=1) list with all parent modules parent_module(“[start:n]“) •••\n
••• teiler(n, div=2) least divisior •••\n
••• gcode(points, f) generates gcode in output •••\n
••• b(n); switches bool in num and vica versa (works on vectors) •••\n
••• scaleGrad(grad=45, h=1,r=1) scale factor for extrusions •••\n
••• is_parent(needs2D) search parentlist for string or list of strings (parent module needing polygon children) \n
••• m(r=[0,0,0], t=[0,0,0], s=[1,1,1])// multmatrix vector*concat(point,[1]) for rotation and translation •••\n
••• mPoints(points,r,t,s) use with 2D&3D point / points •••\n
••• pathPoints(points,path,twist,scale) •••\n
••• tetra(r) tetrahedron points •••\n
••• octa(r,n,d) octaheadron points (subdiv n) ••• \n
••• quad(x,y,r,fn,z) Quad points ••• \n
••• stern(e=5,r1=10,r2=5,mod=2,delta=+0,z) Stern points ••• \n
••• wStern(f=5,r=1.65,a=.25,r2,fn=fn,rot=0,z) ••• \n
••• superellipse(n=2.5,r=10,z,fn=fn) ••• \n
");
}
//Objektmodifikatoren
if(!helpMod)echo("❌••••• Objektmodifikatoren List off — use» helpMod=true; •••••");
if (helpMod){
echo ("•••••••••• Objektmodifikatoren: ••••••");
echo ("•••• T(x=0,y=0,z=0)•Tz(z=0) ••• R(x=0,y=0,z=0) ••");
echo ("•••• M(skewzx=0,skewzy=0,skewxz=0,skewxy=0,skewyz=0,skewyx=+0,scale=1,scalexy=1,scalexz=1,scaleyz=1)••");
echo ("•••• Rund(or=+0,ir=0,chamfer=false,fn=fn)polygon••");
echo ("•••• Linear(es=1,s=100,e=2,x=1,y=0,z=0,r=0,re=0,center=0,cx=0,cy=0,cz=0 ••");
echo ("•••• Polar(e=3,x=0,y=0,r=0,re=0,end=360,dr=0,mitte=false,name)dr=delta element rotation ••");
echo ("•••• Grid(es=[10,10,10],e=[2,2,1],center=true) ••");
echo ("•••• HexGrid ()");
echo ("•••• Klon(tx=10,ty=0,tz=0,rx=0,ry=0,rz=0) Objekt ");
echo ("•••• Halb(i=0,x=0,y=0,z=1,2D=0)Objekt ••");
echo ("•••• Drehpunkt(rx=0,ry=0,rz=0,x=0,y=0,z=0,messpunkt=1)Objekt ••");
echo ("•••• Rundrum(x=+40,y=30,r=10,eck=4,twist=0,grad=0,spiel=0.005,fn=fn,name) polygon RStern(help=1)polygon ••");
echo ("•••• Kextrude(help=1); ••");
echo ("•••• LinEx(help=1) polygon ••");
echo ("•••• LinEx2(bh=5,h=1,slices=10,s=1.00,ds=0.01,dh=0.7,fs=1,fh=1,twist=0,name,fn=fn) ••");
echo ("•••• RotEx(grad=360,fn=fn,center=false) ••");
echo ("•••• Rand(rand=n(1),center=false,fn=fn,delta=false,chamfer=false) ••");
echo ("•••• Elipse(x=2,y=2,z=0,fn=36)Object••");
echo ("•••• Ttorus(r=20,twist=360,angle=360,fn=fn)3D-Objekt ••");
echo ("•••• Gewinde(help=1)••");
echo ("•••• GewindeV3(dn=5,h=10,kern=0,p=1,w=0,profil=0,gh=0.56,g=1,name,fn=36)••");
echo ("•••• Kontaktwinkel(help=1) Objekt ••");
echo ("•••• Bezier(p0=[+0,+10,0],p1=[15,-5,0],p2=[15,+5,0],p3=[0,-10,0],w=1,max=1.0,min=+0.0,fn=50,ex=0,pabs=false,messpunkt=5,name) Objekt •••••");
echo ("•••• Laser3D(h=4,layer=10,var=0.002,name,on=-1)3D-Objekt ••");
echo ("\n
•••• MKlon() //Objekt •• \n
•••• Bogen(help=1)// opt Polygon ••\n
•••• SBogen(help=1)// opt Polygon ••\n
•••• Row(help=1)// opt. Objekt ••\n
•••• Bevel(help=1)// Objekt ••\n
•••• Scale(help=1)// Objekt ••\n
");
}
// 2D
if(!help2D)echo("❌••••• Polygon List off — use» help2D=true; •••••");
if (help2D){
echo ("•••••• Polygons ••••••\n
•• Kreis();\n
•• Trapez(h=2.5,x1=6,x2=3.0,d=1,x2d=0,fn=36,name);\n
•• Tri(grad=60,l=20,h=0,r=0,messpunkt=0,center=+0,top=1,tang=1,fn=fn,name,help=helpM);\n
•• Tri90(grad,a,b,c,help=1);\n
•• Quad(x=20,y=20,r=3,grad=90,grad2=90,fn=36,center=true,centerX=false,n=false,messpunkt=false,help=helpM);\n
•• VorterantQ(size=20,ofs=.5);\n
•• Linse(dia=10,r=7.5,name,messpunkt=true);\n
•• Bogendreieck(rU=5,vari=-1,fn=fn,name);\n
•• Reuleaux(rU=5,name,fn=fn);\n
•• Stern(e=5,r1=10,r2=5,mod=2,delta=+0,name);\n
•• ZigZag(e=5,es=0,x=50,y=5,mod=2,delta=+0,base=2,center=true,name,help=$helpM);\n
•• WStern(help=1);\n
•• Superellipse(help=1);\n
•• Flower(help=1);\n
•• Seg7(help=1);\n
•• WKreis(help=1);\n
•• RSternFill(help=1);\n
•• Cycloid(help=1);\n
•• SQ(help=1);\n
•• Vollwelle(help=1);\n
•• CycloidZahn(help=1);\n
•• Nut(help=1);\n
•• DBogen(help=1);/*(opt polygon)\n*/
•• Pfeil(help=1);\n
•• Rosette(help=1);\n
•• GT(help=1);\n
•• Egg(help=1);\n
•• VarioFill(help=1);\n
•• Welle(help=1);\n
•• Tdrop(help=1);\n
");
}
if(!helpB)echo("❌••••• Basis objects List off — use» helpB=true; •••••");
if(helpB){// BASIS OBJEKTE
echo();
echo ("•••••••••• BasisObjekte: •••••••••••••\n
\n
•• [300] Kugelmantel(d=20,rand=n(2),fn=fn);\n
•• [30] Kegel (d1=12,d2=6,v=1,fn=fn,name,center=false,grad=0);\n
•• [31] MK(d1=12,d2=6,v=19.5);//v=Steigung\n
•• [301] Kegelmantel (d=10,d2=5,v=1,rand=n(2),loch=4.5,grad=0,center=false,fn=fn,name);\n
•• [32] Ring(h=5,rand=5,d=20,cd=1,center=false,fn=fn,name,2D=0);// cd=1,0,-1\n
•• [33] Torus(trx=10,d=5,a=360,fn=fn,fn2=fn,r=0,name=1,dia=0,center=true,end=0);//opt polygon \n
•• [34] Torus2(m=10,trx=10,a=1,rq=1,d=5,w=2);//m=feinheit,trx = abstand mitte,a = sin verschiebung , rq=mplitude, w wellen \n
•• WaveEx(help=1);\n
•• [35] Pille(l=10,d=5,fn=fn,fn2=36,center=true,n=1,rad=0,rad2=0,loch=false);\n
•• [402] Strebe(skew=0,h=20,d=5,rad=4,rad2=3,sc=0,grad=0,spiel=0.1,fn=fn,center=false,name,2D=false);\n
•• WStrebe(grad=45,grad2=0,h=20,d=2,rad=3,rad2=0,sc=0,angle=360,spiel=.1,fn=fn,2D=false,center=true,help=$helpM) \n
•• [36] Twins(h=1,d=0,d11=10,d12=10,d21=10,d22=10,l=20,r=0,fn=60,center=0,sca=+0,2D=false);\n
•• [37] Kehle(rad=2.5,dia=0,l=20,angle=360,fn=fn,spiel=spiel,fn2=fn,r2=0);\n
•• REcke(help=1);\n
•• HypKehle(help=1);\n
•• HypKehleD();\n
•• [46] Text(text=“»«”,size=5,h=0,cx=0,cy=0,cz=0,center=0,font=“Bahnschrift:style=bold”);\n
•• [47] W5(kurv=15,arms=3,detail=.3,h=50,tz=+0,start=0.7,end=13.7,topdiameter=1,topenddiameter=1,bottomenddiameter=+2);\n
•• [50] Rohr(grad=90,rad=5,d=8,l1=10,l2=12,fn=fn,fn2=fn,rand=n(2),name=0);\n
•• [51] Dreieck(h=10,ha=10,ha2=ha,s=1,name=1,c=0,2D=0,grad=0);// s=skaliert c=center\n
•• [52] Freiwinkel(w=60,h=5); \n
•• [54] Sinuskoerper(h=10,d=33,rand=2,randamp=1,randw=4,amp=1.5,w=4,detail=3,vers=0,fill=0,2D=0,twist=0,scale=1); /* amp=Amplitude, w=Wellen, vers=versatz*/\n
•• [55] Kassette(r1=2,r2=2,size=20,h=0,gon=3,fn=fn,fn2=36,r=0,grad=90,grad2=90,spiel=0.001,mitte=true,sizey=0,help=$helpM);\n
•• Surface(help=$helpM);\n
•• [58] Box(x=8,y=8,z=5,d2=0,c=3.5,s=1.5,eck=4,outer=true,fnC=36,fnS=24);\n
•• [62] Spirale(grad=400,diff=2,radius=10,rand=n(2),detail=5,exp=1,hull=true);/*opt Object*/\n
•• [63] Area(a=10,aInnen=0,rInnen=0,h=0,name);\n
•• [65] Sichel(start=55,max=270,dia=33,radius=30,delta=-1,2D=false);\n
•• [66] Prisma(x1=12,y1=12,z=6,c1=5,s=1,x2=0,y2=0,x2d=0,y2d=0,c2=0,vC=[0,0,0],cRot=0,fnC=fn,fnS=36,name);\n
•• Ccube(help=1);\n
•• [67] Disphenoid(h=15,l=25,b=20,r=1,ty=0,tz=0,fn=36);\n
•• Zylinder(help=1);\n
•• Welle(help=1); /*opt polygon*/\n
•• Anschluss(help=1);\n
•• RingSeg(help=1); \n
•• Buchtung(help=1);\n
•• SpiralCut(help=1);\n
•• Isosphere(help=1);\n
•• OctaH(help=1); /*Octahedron*/\n
•• PolyH(); /*Polyhedron auto faces */\n
•• Coil();
");
}
if(!helpP)echo("❌••••• Produkt List off — use» helpP=true; •••••");
if(helpP){ // PRODUKT OBJEKTE
echo ("•••••••••• Produkt Objekte: ••••••••••");
//echo ("•• [400] Pivot(p0=[0,0,0],size=pivotSize,active=[1,1,1,1]) ••••");
//echo ("•• [401] Line(p0, p1, d=.5,center=false) ••••");
//echo ("•• [402] SCT(a=90) sin cos tan info ••••");
echo ("•• [42] Gardena(l=10,d=10) ••••");
echo ("•• [43] Servotraeger(SON=1) ••• Servo(r,narbe) ••••");
echo ("•• [44] Knochen(l=+15,d=3,d2=5,b=0,fn=36) ••••");
echo ("•• [38] Glied(l=12,spiel=0.5,la=+1.5,fn=20) •• SGlied(help=1) •• DGlied(help=1) •• [39][40]DGlied0/1(l=12,l1,l2,la=0) ••••");
echo ("•• [41] Luer(male=1,lock=1,slip=1) ••••");
echo ("•• [45] Bitaufnahme(l=10,star=true)••••");
echo ("•• [48] Imprint(txt1=1,radius=20,abstand=7,rotz=-2,h=l(2),rotx=0,roty=0,stauchx=0,stauchy=0,txt0=›,txt2=‹,size=5,font=DejaVusans:style=bold) ••••");
echo ("•• [503] Achshalter(laenge=30,achse=+5,schraube=3,mutter=5.5,schraubenabstand=15,hoehe=8,fn=fn) ••••");
echo ("•• [504] Achsenklammer(abst=10,achse=3.5,einschnitt=1,h=3,rand=n(2),achsenh=0,fn=72)••••");
echo ("•• [56] Vorterantrotor(h=40,twist=360,scale=1,zahn=0,rU=10,achsloch=4,ripple=0,caps=2,caps2=0,capdia=6.5,capdia2=0,screw=1.40,screw2=1,screwrot=60,n=1)••••");
echo ("•• [57] Tugel(dia=10,loch=5,scaleKugel=1,scaleTorus=1)••••");
echo ("•• [59] ReuleauxIntersect(h=2,rU=5,2D=false) ••••••");
echo ("•• [60] Glied3(x) ••• [61] Gelenk(l,w) ••••••");
echo ("•• [64] Balg(sizex=16,sizey=16,z=10.0,kerb=6.9,rand=-0.5)••••");
echo ("•• [67] Tring(spiel=+0,angle=153,r=5.0,xd=+0.0,h=1.75,top=n(2.5),base=n(4),name=0)••••");
echo ("•• [201] Servokopf(rot,spiel)Objekt ••••");
echo ("•• [202] Halbrund(h=15,d=3+2*spiel,x=1.0,n=1)Objekt mikroGetriebemotor Wellenaufnahme ••••");
echo ("•• [203] Riemenscheibe(e=40,radius=25,nockendurchmesser1=2,nockendurchmesser2=2,hoehe=8,name)Objekt ••••");
echo ("•• Cring(id=20,grad=230,h=15,rand=3,rad=1,end=1,txt=undef,tWeite=15,tSize=5,center=true,fn=fn,fn2=36)••••");
echo ("\n
•• PCBcase(help=1);••••\n
•• Klammer(help=1);••••\n
•• Pin(help=1);••••\n
•• CyclGetriebe(help=1);••••\n
•• SRing(help=1);••••\n
•• DRing(help=1);opt polygon••••\n
•• GewindeV4(help=1); ••••\n
•• BB(help=1); Ballbearing ••••\n
•• Abzweig(help=1) ••••\n
•• GT2Pulley(help=1) ••••\n
•• KBS(help=1) KlemmBauStein••••\n
");
}
}// end help
// SCHALTER
if(version()[0]<2021)echo (str("<h5 style=background-color:#c0bbdd><font color='darkviolet'size=4>Schalter•
messpunkt=",messpunkt?"<font color='green'>On</font>":"<font color='red'>Off</font>",
" • vp=",vp?"<font color='green'>On</font>":"<font color='red'>Off</font>",
" • anima=",anima?"<font color='green'>On</font>":"<font color='red'>Off</font>",
" • texton=",texton?"<font color='green'>On</font>":"<font color='red'>Off</font>",
" • help=",help?"<font color='green'>On</font>":"<font color='red'>Off</font>",
" • $info=",$info?"<font color='green'>On</font>":"<font color='red'>Off</font>",
" •</font>"));
else echo (str("Schalter•\n
messpunkt=",messpunkt?"🟢✔":"❌",
" • vp=",vp?"🟢✔":"❌",
" • anima=",anima?"🟢✔":"❌",
//" • texton=",texton?"🟢✔":"❌",
" • help=",help?"🟢✔":"❌",
" • $info=",$info?"🟢✔":"❌",
" • bed=",bed?"🟢✔":"❌",
" • hires=",hires?"🟢✔":"❌",
" •"));
if(anima||tset)echo(str("\n Zeit t0:",t0,
"\nZeit t1:",t1,"\nZeit t2:",t2,"\n
Zeit t3:",t3(),"\n
•••• anima on! tset=",tset," t=0⇒1 || t0=0⇒360 || t1=-1⇔1 || t2=0⇔1 || t3(wert=1,grad=360,delta=0) •••••"));
if (vp)echo (str(version()[0]<2021?"\n<p style=background-color:#bbbbee;><font size=5 color=#555599>":
"",
"\n\tViewportcontrol vpr: ",$vpr,"\n\t
Viewportcontrol vpt: ",$vpt,"\n\t
Viewportcontrol vpd: ",$vpd,"\n\t
Viewportcontrol vpf: ",$vpf,"\n\t
•••• vp=on •••••"));
if(!$preview) echo("\n\t\t⏳ Rendering…wait! ⌛");
//////////////////////////// Modules /////////////////////////////
module Example(variable=1,name,help){
if(name=="Test"||name=="test"||is_bool(name)||name==undef||is_num(name)) {
if(variable==1)cube(10);
else if (variable==2)sphere(10);
InfoTxt("Example",["variable",variable,"display",variable?variable==1?"cube":
"sphere":
"none"],name);
HelpTxt("Example",["variable",variable,"name",name],help);
}
/////////////////////////////////////// END Example /////////////////////////
module Laby(rec=8,l=10,b=1,p){
rand=min(floor(rands(1,13,1)[0]),rec>6?7:100);
T(0,l-b/2)
if(rec){
if(rand==1||rand==4||rand==5||rand==6)Laby(rec=rec-1,l=rands(1,5,1)[0],p=true);
if(rand==2||rand==4||rand==6||rand==7)rotate(rands(45,90,1)[0])Laby(rec=rec-1,l=rands(5,25,1)[0],p=false);
if(rand==3||rand==4||rand==5||rand==7)rotate(rands(-45,-90,1)[0])Laby(rec=rec-1,l=rands(1,5,1)[0],p=false);
}
Tz(rand/20+.1)T(0,l){
for(i=[0:10])if(rand==i+4)Color(1/6*i%6)circle(b/2);
if(rand<4) Color(rand/4,l=.2)circle(b/3*2,$fn=rand+3);
}
T(-b/2)square([b,l]);
union(){s=rands(b,4,2);
color("darkgrey")Quad(s,name=false);
color("grey")Tz(.1)Rand(.25) Quad(s,name=false);
Tz(.2)if(rec==4&&p==true)color("hotpink")T(2,-5)rotate(115)Pfeil();
}
}
if(is_string(name)&&name!="test"&&name!="Test"){rand=rands(0,1,1)[0];n=floor(rands(2,4,1)[0]);room=floor(rands(0,10,1)[0]);$info=false;echo("\n\n");if(name=="yes"||name=="Yes"||name=="YES"){Echo(str("You are in a Cave room with ",n," doors pick “left“ ",n==3?", “right“or “middle“":"or “right“"," (name=”answer”)\n\n) "),color="black");Linear(n,es=15,center=true){R(90)Color("burlywood",l=.8)LinEx(2)Rand(-1)DBogen(x=12,base=-20);R(90)Color("goldenrod")LinEx(1)offset(-.1)DBogen(x=12,base=-20);T(3+$idx%2*-6,-1,-9)color("black")sphere(0.6);}Tz(14)cube([150,1,70],true);}else if(name=="no"||name=="NO"||name=="No") Echo("Ok have fun with this library and oSCAD",color="info");else if(name=="right"||name=="left"||name=="middle"||name=="run"||name=="sneak"||name=="climb"||name=="jump"||name=="swim"||name=="red"||name=="green"||name=="blue"||name=="balance"){if(room==0){end=floor(rands(1,4,1)[0]);if(end==1)scale(.5){Echo("That didn't went well you died\n\t—that was faster than expected!\n\t try again (name=“yes“)?",color="red");Linear(5,es=25,center=true)difference(){union(){color("brown") R(90)LinEx(50,2,scale=0)DBogen(x=23,rad=1);if($idx!=2)T(0,4) color("lightgrey") Prisma(12,9,5,x2=10,s=3,y2=7);}color([.2,.1,.1])if($idx==2)T(0,-24)linear_extrude(50,true)Quad(18,40,r=2);}color([.2,.1,.1])T(0,-24)linear_extrude(2,true)Quad(18,40,r=2);Tz(20)cube([2,2,40],true);Tz(30)cube([20,2,2],true);T(y=-2.5,z=30)R(50)color("darkgrey")text("The End",halign="center",size=3);color("darkgreen") square(150,true);Tz(4.1)T(0,-17){color("wheat")Scale([1,1,4,1.5,1.0,0.8])MKlon(mz=1)cylinder(4,d1=13,d2=8,$fn=6);color("black")Tz(3){square([1,9],true);T(0,+2)square([4,1],true);}}}if(end==2){Echo("You see daylight, you made it out \n\t —that was faster than expected!\n\t play again? (“yes“or“no“)",color="white");rotate($vpr)Tz(-50)R(-45,-45)color("lightblue")square(500,true);rotate($vpr) Color("gold",alpha=.35)linear_extrude(2,scale=0)Stern(50,r1=10,r2=5);rotate($vpr){Color("orange",alpha=.35)linear_extrude(2,scale=0)Stern(37,r1=10,r2=4);Tz(5)for(i=[8:.2:12])color([i/12,.95,.85,.5/i])circle(i);}T(0,-30)text("The END",halign="center",size=3);}if(end==3){Echo("…there You found a partner \n\tand You lived happily ever after! —that was faster than expected!\n\t\n\t play again? (“yes“or“no“)",color="white");R(40){Color(0.03)hull(){Halb(1,y=1)linear_extrude(.1)Rund(1)polygon( [ for (t=[0:3:360]) [13*pow(sin(t),3),16*cos(t)-7*cos(2*t)-1.3*cos(3*t)-cos(4*t)]]);T(-7,7)scale([1,1,.75]) sphere(7);T(2)R(90)cylinder(12,d1=5,d2=0);}Color(0.05)hull(){Halb(y=1)linear_extrude(.1)Rund(1)polygon([for(t=[0:3:360])[13*pow(sin(t),3), 16*cos(t) - 7*cos(2*t)-1.3*cos(3*t)-cos(4*t)]]);T(+7,7)scale([1,1,.75]) sphere(7);T(-2)R(90)cylinder(12,d1=5,d2=0);}}T(0,-30)text("Happy END ♥",halign="center",size=3);}}if(room==1){Echo(str("you coming into a big chamber with ",n," corridors pick “left“ ",n==3?", “right“or “middle“":"or “right“"),color="black");color("lightgrey")Tz(-6.6)Surface(150,150,seed=rand,freqX=10,ampX=5,rand=1,waves=0,res=0.5,randsize=1.0,exp=2,abs=0,mult=0,deltaZ=.5,zBase=5,name=false,help=0);R(110)color("lightgrey")Tz(-2.4)Surface(150,80,seed=rand,freqX=10,ampX=5,rand=1,waves=1,res=0.5,randsize=1.0,exp=2,abs=0,mult=0,deltaZ=1.5,zBase=50,name=false,help=0);Linear(n,es=14,center=true)Color($idx*0.6/(n-1),l=.8)T(y=-20)R(-90,0,20+$idx*(-60/n))linear_extrude(50,convexity=5)Rand(1.5)Quad([10,20]);}if(room==2){Echo("right in front of you is a stream of lava\n\t what now? try to ”jump” or ”run” ?",color="orange");color("gainsboro")difference(){cube([150,150,6],true);linear_extrude(50,center=true,convexity=5)rotate(90)SBogen(spiel=-.1,dist=25,r1=35,l1=150,2D=rands(15,55,1)[0],grad2=rands(-30,30,2));}color("orange")Surface(150,100,seed=rand,freqX=10,ampX=5,rand=1,waves=1,res=0.5,randsize=2,exp=2,abs=0,mult=0,deltaZ=3,name=false);color("red")Surface(150,50,seed=rand*2,freqX=10,ampX=1,rand=1,waves=1,res=.5,randsize=2,exp=1,abs=0,mult=0,deltaZ=3,name=false);}if(room==3){Echo("Now a moat with water blocking your
} // end example
///∇∇ Tools / Modificator ∇∇///
// short for translate[];
module T(x=0,y=0,z=0,help=false)
{
//translate([x,y,z])children();
if(is_list(x))
multmatrix(m=[
[1,0,0,x[0]],
[0,1,0,x[1]],
[0,0,1,x[2]],
[0,0,0,1]
])children();
else
multmatrix(m=[
[1,0,0,x],
[0,1,0,y],
[0,0,1,z],
[0,0,0,1]
])children();
MO(!$children);
HelpTxt("T",["x",x,"y",y,"z",z],help);
}
// short for T(z=0);
module Tz(z=0,help=false){
multmatrix([
[1,0,0,0],
[0,1,0,0],
[0,0,1,z],
[0,0,0,1],
])children();
MO(!$children);
HelpTxt("Tz",["z",z],help);
}
// short for rotate(a,v=[0,0,0])
module R(x=0,y=0,z=0,help=false)
{
rotate([x,y,z])children();
MO(!$children);
HelpTxt("R",["x",x,"y",y,"z",z],help);
}
// short for multmatrix and skewing objects
module M(skewzx=0,skewzy=0,skewxz=0,skewxy=0,skewyz=0,skewyx=+0,scale=1,scalexy=1,scalexz=1,scaleyz=1,help=false){
scalex=scale*scalexy*scalexz;
scaley=scale*scalexy*scaleyz;
scalez=scale*scalexz*scaleyz;
multmatrix([
[scalex,skewyx,skewzx,0],
[skewxy,scaley,skewzy,0],
[skewxz,skewyz,scalez,0],
[0,0,0,1.0],
])children();
MO(!$children);
HelpTxt("M",["skewzx",skewzx,"skewzy",skewzy,"skewxz",skewxz,"skewxy",skewxy,"skewyz",skewyz,"skewyx",skewyx,"scale",scale,"scalexy",scalexy,"scalexz",scalexz,"scaleyz",scaleyz],help);
}
// multiply children polar (e=number, x/y=radial distance)
module Polar(e=3,x=0,y=0,r=0,re=0,end=360,dr=0,mitte=false,name,n,help=false){
name=is_undef(n)?is_undef(name)?is_undef($info)?false:
$info:
name:
n;
radius=Hypotenuse(x,y);
end=end==0?360:end;
winkel=abs(end)==360?360/e:end/max(1,e-1);
InfoTxt("Polar",["elements",str(e,
" radius ",radius,"mm ",re?str("rotElements=",re,"°"):"",end!=360?str(" End=",end,"°"):""," Element=",winkel,"° Abstand=",2*radius*PI/360*winkel,"mm (Sekante=",2*radius*sin(winkel/2),")")],name);
if(e>+0) rotate(r)for(i=[0:e-1]){
$idx=i;
$tab=is_undef($tab)?1:b($tab,false)+1;
$info=$idx?false:name;
rotate(e==1&&end<360?winkel/2:i*winkel)translate([x,y,0])rotate([0,0, re+(i*winkel)/end*dr])children();
}
if(mitte){
$idx=e;
children();
}
HelpTxt("Polar",["e",e,"x",x,"y",y,"r",r,"re",re,"end",end,"dr",dr,"mitte",mitte,"name",name],help);
MO(!$children);
}
// multiply children linear (e=number, es=distance)
module Linear(e=2,es=1,s=0,x=0,y=0,z=0,r=0,re=0,center=0,cx=0,cy=0,cz=0,name,n,help)// ordnet das Element 20× im Abstand x Linear an.. es skaliert die vektoren . cx = center x
{
name=is_undef(n)?is_undef(name)?is_undef($info)?false:
$info:
name:
n;
$helpM=0;
s=es==1?s:0;
x=!y&&!z?1:x;
cx=center?1:cx;
cy=center?1:cy;
cz=center?1:cz;
InfoTxt("Linear",["länge",str((s?s:e*es)*norm([x,y,z]),"mm")],name);
if(s!=0&&e>0){if(e>1)translate([cx?-x*es/2*s:0,cy?-y*es/2*s:0,cz?-z*es/2*s:0])for(i=[0:e-1])//for (i=[+0:s/(e-1):s+.00001])
{
$idx=i;
$info=$idx?false:name;
$tab=is_undef($tab)?1:b($tab,false)+1;
rotate([0,0, r])translate([i*x*es*(s/(e-1)),i*y*es*(s/(e-1)),i*z*es*(s/(e-1))])rotate([0,0, re])children();
}
else rotate([0,0, re])children();
}
if(s==0&&e>0)for (i=[0:e-1])
{
$idx=i;
$info=$idx?false:name;
$tab=is_undef($tab)?1:b($tab,false)+1;
rotate([0,0, r])translate(center?[(e-1)*es*x,(e-1)*es*y,(e-1)*es*z]/-2:[0,0,0])translate([i*es*x,i*es*y,i*es*z])rotate([0,0, re])children();
}
MO(!$children);
HelpTxt("Linear",["e",e,"es",es,"s",s,"x",x,"y",y,"z",z,"r",r,"re",re,"center",center,"cx",cx,"cy",cy,"cz",cz,"name",name],help);
}
//Clone and mirror object
module MKlon(tx=0,ty=0,tz=0,rx=0,ry=0,rz=0,mx,my,mz,help=false)
{
mx=is_undef(mx)?sign(abs(tx)):mx;
my=is_undef(my)?sign(abs(ty)):my;
mz=is_undef(mz)?!mx&&!my?1:sign(abs(tz)):mz;
$idx=0;
translate([tx,ty,tz])rotate([rx,ry,rz])children();
union(){
$helpM=0;
$info=0;
$idx=1;
$idxON=false;
translate([-tx,-ty,-tz])rotate([-rx,-ry,-rz])mirror([mx,my,mz]) children();
}
MO(!$children);
HelpTxt("MKlon",["tx",tx,"ty",ty,"tz",tz,"rx",rx,"ry",ry,"rz",rz,"mx",mx,"my",my,"mz",mz],help);
}
// Clone and mirror (replaced by MKlon)
module Mklon(tx=0,ty=0,tz=0,rx=0,ry=0,rz=0,mx=0,my=0,mz=1)
{
mx=tx?1:mx;
my=ty?1:my;
mz=tz?1:mz;
$idx=0;
translate([tx,ty,tz])rotate([rx,ry,rz])children();
union(){
$helpM=0;
$info=0;
$idx=1;
$idxON=false;
translate([-tx,-ty,-tz])rotate([-rx,-ry,-rz])mirror([mx,my,mz]) children(); }
MO(!$children);
}
// Clone Object
module Klon(tx=0,ty=0,tz=0,rx=0,ry=0,rz=0,help=false){
union(){
$idx=0;
translate([tx,ty,tz])rotate([rx,ry,rz])children();
}
union(){
$idx=1;
$helpM=0;
$info=0;
$idxON=false;
translate([-tx,-ty,-tz])rotate([-rx,-ry,-rz])children();
}
MO(!$children);
HelpTxt("Klon",["tx",tx,"ty",ty,"tz",tz,"rx",rx,"ry",ry,"rz",rz],help);
}
// Cuts away half of Object at [0,0,0]
module Halb(i=0,x=0,y=0,z=0,2D=0,size=max(400,viewportSize*5),help=false)
{
if(!2D){
if(i)difference()
{
children();
R(x?90:0,y?90:0) cylinder(size,d=size,$fn=6);
}
if(!i) intersection()
{
children();
R(x?90:0,y?90:0) cylinder(size,d=size,$fn=6);
}
}
if(2D){
if(i)difference()
{
children();
T(y?-size/2:0,x?-size/2:0) square(size);
}
if(!i) intersection()
{
children();
T(y?-size/2:0,x?-size/2:0) square(size);
}
}
MO(!$children);
HelpTxt("Halb",["i",i,"x",x,"y",y,"z",z,"2D",2D,"size",size],help);
}
//short for rotate_extrude(angle,convexity=5) with options
module RotEx(grad=360,fn=fn,center=false,cut=false,convexity=5,help=false){
fnrotex=$fn;
rotate(center?sign(grad)*-min(abs(grad)/2,180):grad>=360?180:0)
rotate_extrude(angle=grad,convexity=convexity, $fa =fn?abs(grad/fn):$fa,$fs=.2,$fn=0)intersection(){
$fn=fnrotex;
$fa=fa;
$fs=fs;
children();
if(cut)translate([cut==-1?-1000:0,-500])square(1000);
}
MO(!$children);
HelpTxt("RotEx",["grad",grad,"fn",fn,"center",center,"cut",cut,"convexity",convexity],help);
}
// multiply children in a given matrix (e= number es =distance)
module Grid(e=[2,2,1],es=10,s,center=true,name,help){
name=is_undef(name)?is_undef($info)?false:
$info:
name;
function n0(e)=is_undef(e)?1:max(e,1);
function n0s(e)=max(e-1,1);// e-1 must not be 0
center=is_list(center)?v3(center):[center,center,center];
e=is_list(e)?is_num(e[2])?[max(e[0],1),max(e[1],1),n0(e[2])]:
concat(e,[1]):
es[2]?[n0(e),n0(e),n0(e)]:
[n0(e),n0(e),1];
es=is_undef(s)?is_list(es)?is_num(es[2])?es:
concat(es,[0]):
is_undef(es)?[0:0:0]:
[es,es,es]:
is_list(s)?is_num(s[2])?[s[0]/n0s(e[0]),s[1]/n0s(e[1]),s[2]/n0s(e[2])]:
[s[0]/n0s(e[0]),s[1]/n0s(e[1]),0]:
[s/n0s(e[0]),s/n0s(e[1]),s/n0s(e[2])];
MO(!$children);
InfoTxt("Grid",[str("Gridsize(",e,")"),str(e[0]*e[1]*e[2]," elements ",(e[0]-1)*es[0],"×",(e[1]-1)*es[1],"×",(e[2]-1)*es[2],"mm ",
center.x?str("\n\tX ",-(e[0]-1)*es[0]/2," ⇔ ",(e[0]-1)*es[0]/2," mm"):"",
center.y?str("\n\tY ",-(e[1]-1)*es[1]/2," ⇔ ",(e[1]-1)*es[1]/2," mm"):"",
center.z?str("\n\tZ ",-(e[2]-1)*es[2]/2," ⇔ ",(e[2]-1)*es[2]/2," mm"):"")
],name);
HelpTxt("Grid",[
"e",e
,"es",es
,"s",[(e[0]-1)*es[0],(e[1]-1)*es[1],(e[2]-1)*es[2]]
,"center",center
,"name",name]
,help);
translate([
center.x?((1-e[0])*es[0])/2:0,
center.y?((1-e[1])*es[1])/2:0,
center.z?((1-e[2])*es[2])/2:0]) for(x=[0:e[0]-1],y=[0:e[1]-1],z=[0:e[2]-1]){
$idx=[x,y,z];
$info=norm($idx)?false:name;
$tab=is_undef($tab)?1:b($tab,false)+1;
// $helpM=norm($idx)?false:$helpM;
T(x*es[0],y*es[1],z*es[2])children();
}
}
// Grid but with alternating row offset - hex or circle packing
module HexGrid(e=[11,4],es=5,center=true,name){
es=is_list(es)?es:[es*sin(60),es];
Grid(e=e,es=es,center=center,name=name)
translate([0,
$idx[0]%2?is_list(es)?es[1]/2:es/2:
0
])children();
MO(!$children);
InfoTxt("HexGrid",["es",es],name);
}
///ΔΔ Modificatoren ΔΔ///
///∇∇ Helper ∇∇/// (not for creating geometry or objects)
//Points(octa(5),loop=4,size=0.4);
module Points(points,color,size,hull=.5,loop=25,start=0,mark,markS,center=true,help){
lp=assert(points[0],"no point(s) input")len(points);
cMark=["Chartreuse","Aqua","Magenta","LightSkyBlue"];
size=is_undef(size)?$vpd/100:size;
markS=is_undef(markS)?$vpd/40:markS;// scale marks
%if($preview){
for (i=[0:is_list(points[0])?lp-1:0])translate(is_list(points[0])?points[i]:points){
if(is_num(mark)&&i==mark)color("Chartreuse", alpha=.6)OctaH(.6*markS);
if(is_list(mark)) for(j=[0:len(mark)-1])if(i==mark[j])color(cMark[j%len(cMark)], alpha=0.4)OctaH(0.4*markS,$fn=12);
if(i>=start&&i<start+loop){
if(i==start )color("red", alpha=.4)sphere(.25*markS,$fn=24);
if(i==start +loop-1)color("blue", alpha=.4)sphere(.25*markS,$fn=24);
if(!center)
Color(is_undef(color[0])?1/(lp*1.2)*i:color,is_undef(color[3])?.5:color[3])rotate($vpr){
translate([0,i==lp-1?size *+2.5:size*1.25])linear_extrude(.01,convexity=3)text(str(i==lp-1?"end":"p",i),size=size,halign="center");
rotate([-90,-45,45])cylinder(i==lp-1?size*3.5:size,0,size/5,$fn=3);
}
else Color(is_undef(color[0])?1/(lp*1.2)*i:color,is_undef(color[3])?.5:color[3])rotate(vektorWinkel(points[i],[0,0,points[i].z])+[90,0,0]){
translate(i==lp-1?[0,size *+3.5,size*3.5]:i==start+loop-1?[0,size*2.25,size*0.65]:[0,size*1.25,size*0.65])linear_extrude(.01,convexity=3)text(str(i==lp-1?"end":"p",i),size=size,valign="center",halign="center");
rotate([i==start+loop-1?-45:-35,0,0])rotate(30)cylinder(i==lp-1?size*3.5:i==start+loop-1?size*1.5:size,0,size/5,$fn=3);
}
}}
if(hull&&lp>2) if(len(points[0])==3)color(alpha=is_bool(hull)?1: hull)
hull() polyhedron(points, [[for(i=[0:len(points)-1]) i ]]);
else if(len(points[0])==2)color(alpha=is_undef(color[3])?.2:color[3])polygon(points);
}
HelpTxt("Points",["points",[[1,2,3]],"color",color,"size",size,"hull",hull,"loop",loop,"start",start,"mark",mark,"markS",markS,"center",center],help);
}
//Points(Kreis(grad=120,fn=6),start=0,loop=6,mark=[2,3,4,12]);
// Cutaway children for preview
module Schnitt(on=$preview,r=0,x=0,y=0,z=-0.01,rx=0,ry=0,sizex,sizey,sizez,center=0)
{
sizex=is_undef(sizex)?bed?printBed.x:max(viewportSize*5,150):sizex;
sizey=is_undef(sizey)?bed?printBed.y:max(viewportSize*5,150):sizey;
sizez=is_undef(sizez)?bed?100:max(viewportSize*5,150):sizez;
center=is_bool(center)?center?1:0:center;
if($children)difference()
{
union()children();
if((on&&$preview)||on==2) translate([x,y,z])rotate([rx,ry,r])color([1,0,0,1])translate([center>0?-sizex/2:0,abs(center)==1?-sizey/2:-sizey,center>1||center<0?-sizez/2:0])cube([sizex,sizey,sizez],center=false);
}
Echo("»»»»––SCHNITT in render! ––«««« \n",color="warning",condition=on==2);
MO(!$children);
}
// 3 axis Projection
module 3Projection(s=10,cut=true,active=[1,1,1],help){
s=is_list(s)?s:[s,s];
cut=is_list(cut)?cut:[cut,cut,cut];
$info=false;
$helpM=false;
if(active.z) projection(cut=cut.z)children();
if(active.x) translate([s.x,0,0])projection(cut=cut.x)rotate([0,90,0])children();
if(active.y) translate([0,s.y,0])projection(cut=cut.y)rotate([-90,0,0])children();
%children();
MO(!$children);
HelpTxt("3Projection",["s",s,"cut",cut,"active",active],help);
}
//Arranges (and color) list of children for display
module Anordnen(es=10,e,option=1,axis=1,c=0,r,cl=.5,rot=0,loop=true,center=true,inverse=false,name,help){
option=option==3&&version()==[2021, 1, 0]?4:option;
optiE= function(e=[0,0,1])
let (sqC=sqrt($children))
e.x*e.y==$children?
e:
e.x>4?optiE([e.x-1,e.y,1])://min 4 rows else alternate to circumvent primes
e.y>$children?[round(sqC),ceil($children/round(sqC)),1]:
optiE([ceil(sqC),e.y+1,1]);
//echo(optiE());
e=option==3||option==4?is_undef(e)?optiE():
is_list(e)?
e.z?e:
concat(e,1):
[ceil($children/e),e,1]:
is_undef(e)?$children:e;
InfoTxt("Anordnen",["e",e,"children",$children],name);
if(option==1){
r=is_undef(r)?(es/2)/sin(180/e):r;
Polar(e,x=r,re=rot,name=false){
///idx=$idx;
//$idx=0;
$idxON=true;
$info=name;
if(is_undef(c)&&(loop?true:$idx<$children))
children((inverse?$children-$idx-1:$idx)%$children);//
else Color(c+1/$children*$idx,l=cl)
if(loop?true:$idx<$children)children((inverse?$children-$idx-1:$idx)%$children);
}
}
if(option==2)
Linear(e=e,es=es,re=rot,center=center,x=axis==1?1:0,y=axis==2?1:0,z=axis==3?1:0,name=false){
$info=name;
//idx=$idx;
//$idx=0;
$idxON=true;
if(is_undef(c))children($idx%$children);
else Color(c+1/$children*$idx,l=cl)children($idx%$children);
}
if(option==3) Grid(e=e,es=es,center=center,name=false){
$info=name;
childINDX=inverse?(loop?e.x*e.y*e.z:$children -1)-($idx[0]+e.x*$idx[1]):($idx[0]+e.x*$idx[1]);
//idx=$idx;
//$idx=0;
$idxON=true;
rotate(rot)
if(is_undef(c)&&(loop?true:$idx.x+e.x*$idx.y+e.x*e.y*$idx.z<$children))children(childINDX%$children);
else Color(([$idx.x/(e.x -1),$idx.y/(e.y -1),$idx.z/e.z]+[ 0,0,cl])){
if(loop?true:$idx.x+e.x*$idx.y+e.x*e.y*$idx.z<$children)children(childINDX%$children);
//text(str([$idx.x/(e.x-1), $idx.y/(e.y-1), $idx.z/e.z]+[ 0,0,cl]),size=2);
}
}
if(option==4) Grid(e=e,es=es,center=center,name=false)IDX($idx,$children)children($idx%$children);
module IDX(idx,childrn){
$info=name;
$idxON=true;
$idx=inverse?(loop?e.x*e.y*e.z:childrn -1)-(idx[0]+e.x*idx[1]):(idx[0]+e.x*idx[1]);
rotate(rot)
if(is_undef(c)&&(loop?true:idx.x+e.x*idx.y+e.x*e.y*idx.z<childrn))children();
else Color(([idx.x/(e.x -1),idx.y/(e.y -1),idx.z/e.z]+[ 0,0,cl])){
if(loop?true:idx.x+e.x*idx.y+e.x*e.y*idx.z<childrn)children();
}
}
HelpTxt("Anordnen",["es",es,"e",e,"option",option,"axis",axis,"c",c,"r",r,"cl",cl,"rot=",rot,"loop",loop,"center",center,"inverse",inverse,"name",name],help);
}
co=[
["silver","lightgrey","darkgrey","grey","slategrey","red","orange","lime","cyan","lightblue","darkblue","purple",[.8,.8,.8,.3],[.8,.8,.8,.6],"cyan","magenta","yellow","black","white","red","green","blue",[0.77,0.75,0.72]],//std
["White","Yellow","Magenta","Red","Cyan","Lime","Blue","Gray","Silver","Olive","Purple","Maroon","Teal","Green","Navy","Black"],//VGA
["Gainsboro","LightGray","Silver","DarkGray","Gray","DimGray","LightSlateGray","SlateGray","DarkSlateGray","Black"],//grey
["Pink","LightPink","HotPink","DeepPink","PaleVioletRed","MediumVioletRed"],//pink
["LightSalmon","Salmon","DarkSalmon","LightCoral","IndianRed","Crimson","Firebrick","DarkRed","Red"],//red
["OrangeRed","Tomato","Coral","DarkOrange","Orange"],//orange
["Yellow","LightYellow","LemonChiffon","LightGoldenrodYellow","PapayaWhip","Moccasin","PeachPuff","PaleGoldenrod","Khaki","DarkKhaki","Gold"],//yellows
["Cornsilk","BlanchedAlmond","Bisque","NavajoWhite","Wheat","Burlywood","Tan","RosyBrown","SandyBrown","Goldenrod","DarkGoldenrod","Peru","Chocolate","SaddleBrown","Sienna","Brown","Maroon"],//browns
["DarkOliveGreen","Olive","OliveDrab","YellowGreen","LimeGreen","Lime","LawnGreen","Chartreuse","GreenYellow","SpringGreen","MediumSpringGreen","LightGreen","PaleGreen","DarkSeaGreen","MediumAquamarine","MediumSeaGreen","SeaGreen","ForestGreen","Green","DarkGreen"],//greens
["Cyan","LightCyan","PaleTurquoise","Aquamarine","Turquoise","MediumTurquoise","DarkTurquoise","LightSeaGreen","CadetBlue","DarkCyan","Teal"],//cyans
["LightSteelBlue","PowderBlue","LightBlue","SkyBlue","LightSkyBlue","DeepSkyBlue","DodgerBlue","CornflowerBlue","SteelBlue","RoyalBlue","Blue","MediumBlue","DarkBlue","Navy","MidnightBlue"],//blue
["Lavender","Thistle","Plum","Violet","Orchid","Magenta","MediumOrchid","MediumPurple","BlueViolet","DarkViolet","DarkOrchid","DarkMagenta","Purple","Indigo","DarkSlateBlue","SlateBlue","MediumSlateBlue"],//violetts
["White","Snow","Honeydew","MintCream","Azure","AliceBlue","GhostWhite","WhiteSmoke","Seashell","Beige","OldLace","FloralWhite","Ivory","AntiqueWhite","Linen","LavenderBlush","MistyRose"],//white
["Red","darkorange","Orange","Yellow","Greenyellow","lime","limegreen","turquoise","cyan","deepskyblue","dodgerblue","Blue","Purple","magenta"],//rainbow
["magenta","Purple","Blue","dodgerblue","deepskyblue","cyan","turquoise","limegreen","lime","Greenyellow","Yellow","Orange","darkorange","Red","darkorange","Orange","Yellow","Greenyellow","lime","limegreen","turquoise","cyan","deepskyblue","dodgerblue","Blue","Purple"]//rainbow2
];
// color by color lists
module Col(no=0,alpha=1,pal=0,name=0,help)
{
palette=["std","VGA","grey","pink","red","orange","yellow","brown","green","cyan","blue","violett","white","rainbow"];
HelpTxt("Col",["no",no,"alpha",alpha,"pal",pal,"name",name],help);
for(i=[0:1:$children-1]){
$idx=i;
color(co[pal][(no+i)%len(co[pal])],alpha)children(i);
union(){
$idx=0;
InfoTxt("Col",["Color children ($idx)",str(i," Farb№: ",no+i,"- ",co[pal][(no+i)%len(co[pal])])," von ",len(co[pal])-1,"Palette",str(pal,"/",palette[pal],(no+i>len(co[pal])-1)?" — Out of Range":"")],name);
}
}
MO(!$children);
}
// object color with hue (and rgb) also color change for multiple children
module Color(hue=0,alpha=1,v=1,l=0.5,spread=1,$idxON=true,name=0,help=false){
function val(delta=0,hue=-hue*360,v=v,l=l*-2+1)=
v*max(
min(
(0.5+sin((hue+delta)))*(l>0?1-l:1)
+(max(
.5+sin((180+hue+delta))
,0)*(l<=0?-l:0))
,1)
,0);
start=90;// to start with red
if($children) for(i=[0:$children-1]){//
$idx=is_undef($idx)?i:$idx;
c=is_string(hue)?hue:is_list(hue)?[(hue[0]+i*(1-hue[0]%1.001)/(spread*$children))%1.001,(hue[1]+i*(1-hue[1]%1.001)/(spread*$children))%1.001,(hue[2]+i*(1-hue[2]%1.001)/(spread*$children))%1.001]:[val(start,hue=(-hue-i/(spread*$children))*360),val(+start+120,hue=(-hue-i/(spread*$children))*360),val(start+240,hue=(-hue-i/(spread*$children))*360)];
if(name) echo(str("Color ",name," child ($idx) ",i," hex=",Hexstring(c)," ",Hex(alpha*255),//" <font color=",Hexstring(c),"> ████ </font>
"RGB=",c));
// $idxON=true;
color(c,alpha)children(i);
}
else MO(!$children);
HelpTxt("Color",[
"hue",hue,"alpha",alpha,"v",v,"l",l,"spread",spread,"name",name,
],help);
}
/// Echo Helper /// console texts
// missing object text
module MO(condition=true,warn=false){
Echo(str(parent_module(2)," has no children!"),color=warn?"warning":"red",condition=condition&&$parent_modules>1,help=false);
}
// echo color differtiations
module Echo(title,color="#FF0000",size=2,condition=true,help=false){
if(condition)
if(version()[0]<2021)echo(str("<H",size,"><font color=",color,">",title));
else if (color=="#FF0000"||color=="red")echo(str("\n⭕\t»»» ",title));
else if (color=="#FFA500"||color=="orange")echo(str("\n🟠\t»»» ",title));
else if (color=="#00FF00"||color=="green"||color=="info")echo(str("🟢\t ",title));
else if (color=="#0000FF"||color=="blue") echo(str("🔵\t ",title));
else if (color=="#FF00FF"||color=="purple") echo(str("🟣\t ",title));
else if (color=="#000000"||color=="black") echo(str("⬤\t ",title));
else if (color=="#FFFFFF"||color=="white") echo(str("◯\t ",title));
else if (color=="#FFFF00"||color=="yellow"||color=="warning") echo(str("⚠\t ",title));
else echo(str("• ",title));
HelpTxt("Echo",["title",title,"color",color,"size",size,"condition",condition],help);
}
/// display variable values
module InfoTxt(name,string,info,help=false){
$tab=is_undef($tab)?0:$tab;
info=is_undef(info)?is_undef($info)?false:
$info:
info;
// https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/User-Defined_Functions_and_Modules#Function_Literals
idx=is_undef($idx)?false:is_list($idx)?norm($idx):$idx;
idxON=is_undef($idxON)?false:$idxON?true:false;
joinArray= function(in,out="",pos=0) pos>=len(in)?out: // scad version > 2021
joinArray(in=in,out=str(out,in[pos]),pos=pos +1);
if(version()[0]<2021){
infoText=[for(i=[0:2:len(string)-1])str(string[i],"=",is_num(string[i+1])?negRed(string[i+1]):string[i+1],i<len(string)-2?", ":"")];
if(info)if(is_list(string))echo(
str(is_bool(info)?"":"<b>",info," ",name," ",
infoText[0]
,infoText[1]?infoText[1]:""
,infoText[2]?infoText[2]:""
,infoText[3]?infoText[3]:""
,infoText[4]?infoText[4]:""
,infoText[5]?infoText[5]:""
,infoText[6]?infoText[6]:""
,infoText[7]?infoText[7]:""
,infoText[8]?infoText[8]:""
,infoText[9]?infoText[9]:""
));
else HelpTxt(titel="InfoTxt",string=["name",name,"string","[text,variable]","info",info],help=1);
}
else { // current version info
infoText=[for(i=[0:2:len(string)-1])str(string[i],"=",string[i+1],i<len(string)-2?", ":"")];
if(info&&(!idx||idxON))if(is_list(string))echo(
str(is_string(info)?$tab?"⏩\t":
"🟩\t••":
"",$tab?" ╞▷ ":
"",b($tab,false)>1?" ┗▶ ":
" ",info," ",name," ",
joinArray(infoText)));
else HelpTxt(titel="InfoTxt",string=["name",name,"string","[text,variable]","info",info],help=1);
}
HelpTxt(titel="InfoTxt",string=["name",name,"string","[text,variable]","info",info],help=help);
}
// display the module variables in a copyable format
module HelpTxt(titel,string,help){
help=is_undef(help)?is_undef($helpM)?false:
$helpM:
help;
idxON=is_undef($idxON)?false:$idxON?true:false;
idx=is_undef($idx)||idxON?false:is_list($idx)?norm($idx):$idx;
joinArray= function(in,out="",pos=0) pos>=len(in)?out:
joinArray(in=in,out=str(out,in[pos]),pos=pos +1);
helpText=[for(i=[0:2:len(string)-1])str(string[i],"=",string[i+1],",\n ")];
if(version()[0]<2021){
if(help)if(is_list(string))echo(
str("<H3> <font color=",helpMColor,"> Help ",titel, "(",
helpText[0]
,helpText[1]?helpText[1]:""
,helpText[2]?helpText[2]:""
,helpText[3]?helpText[3]:""
,helpText[4]?helpText[4]:""
,helpText[5]?helpText[5]:""
,helpText[6]?helpText[6]:""
,helpText[7]?helpText[7]:""
,helpText[8]?helpText[8]:""
,helpText[9]?helpText[9]:""
,helpText[10]?helpText[10]:""
,helpText[11]?helpText[11]:""
,helpText[12]?helpText[12]:""
,helpText[13]?helpText[13]:""
,helpText[14]?helpText[14]:""
,helpText[15]?helpText[15]:""
,helpText[16]?helpText[16]:""
,helpText[17]?helpText[17]:""
,helpText[18]?helpText[18]:""
,helpText[19]?helpText[19]:""
,helpText[20]?helpText[20]:""
,helpText[21]?helpText[21]:""
,helpText[22]?helpText[22]:""
,helpText[23]?helpText[23]:""
,helpText[24]?helpText[24]:""
,helpText[25]?helpText[25]:""
,helpText[26]?helpText[26]:""
,helpText[27]?helpText[27]:""
,helpText[28]?helpText[28]:""
,helpText[29]?helpText[29]:""
//," name=",name,
," help);"));
else HelpTxt("Help",["titel",titel,"string",["string","data","help",help],"help",help],help=1);
}
else{ // current versions help
if(help&&!idx)if(is_list(string))echo(
str("🟪\nHelp ",titel, "(\n ",
joinArray(helpText)
,"help=",help,"\n);\n"));
else HelpTxt("Help",["titel",titel,"string",string,"help",help],help=1);
}
}
module Caliper(l=20,in=1,s,center=true,messpunkt=true,translate=[0,0,0],end=1,h=1.1,render=false,l2,txt,size=$vpd/15,help){
s=s?s:size;
txt=is_undef(txt)?str(l,"mm "):txt;
center=is_bool(center)?center?1:0:center;
textl=in>1?s/3:s/4*(len(str(txt)));// end=0 use own def
line=s/20;
//l2=is_undef(l2)?s:l2;
if($preview||render)translate(translate)translate(in>1?center?[0,0]:[0,l/2]:center?[0,0]:[l/2,0]){
if(end==1&&h)Col(5){
rotate(in?in==2?90:in==3?-90:180:0)linear_extrude(h,center=true)Mklon(tx=l/2,mz=0)polygon([[max(-5,-l/3),0],[0,s],[0,0]]);
rotate(in?in==2?90:in==3?-90:180:0)linear_extrude(h,center=true)Mklon(tx=-l/2,mz=0)polygon([[max(-5,-l/3),0],[0,-s],[0,0]]);
Text(h=h+.1,text=txt,center=true,size=s/4);
}
else if(end==2&&h)Col(3)union(){
rotate(in?in==2?90:in==3?-90:180:0)MKlon(tx=l/2)T(-(l-textl)/4,0)cube([(l-textl)/2,line,h],center=true);
rotate(in?in==2?90:in==3?-90:180:0)MKlon(tx=l/2)T(-line/2)cube([line,s,h],center=true);
translate([(l<textl+1&&in<2)?l/2+textl/2+1:0,l<textl+1&&in>1?l/2+textl/2+1:0,0])Text(h=h+.1,text=txt,center=true,size=s/4);
if(l<textl+1)
if(in<2)translate([.5,0])square([l+.5,line],true);
else translate([0,.5])square([line,l+.5],true);
}
else Col(1)union(){
s=s==$vpd/15?5:s;
line=s/20;
l2=is_undef(l2)?s:l2;
textl=in>1?s/3:s/4*len(txt);
// text line
rotate(in?in==2?90:in==3?-90:180:0)MKlon(tx=l/2)T(-(l-textl)/4,0)square([(l-textl)/2,line],center=true);
//End lines
rotate(in?in==2?90:in==3?-90:180:0){MKlon(tx=l/2){
T(+line/2) square([line,l2],center=true);
Pfeil([0,min(l/3,s/2)],b=[line,s],center=[-1,1],name=false);
}
translate([l<textl+s?l/2+textl/2+1:0,0])rotate(in>1?-90:180) Text(h=0,text=txt,center=true,size=s/4);
// verbindung text ausserhalb
if(l<textl+s) translate([.5,0])square([l+.5,line],true);
}
// verlängerungen translate auf 0
if(translate.y)MKlon(tx=l/2) mirror([0,translate.y>0?1:0,0])square([line,abs(translate.y)],false);
if(translate.x)MKlon(ty=l/2) mirror([translate.x>0?1:0,0,0])square([abs(translate.x),line],false);
//if(translate.x) mirror([translate.x>0?1:0,0,0])T(l/2,-line/2)square([abs(translate.x),line],false);
}
}
Echo("Caliper will render",color="warning",condition=render);
if(h&&end)
Pivot(messpunkt=messpunkt,p0=translate,active=[1,1,1,1,norm(translate)]);
HelpTxt("Caliper",[
"l",l,
"in",in,
"size",size,
"center",center,
"messpunkt",messpunkt,
"translate",translate,
"end",end,
"h",h,
"render",render,
"l2",l2,
"txt",txt]
,help);
}
module SCT(a=90){
echo(str("<H3>Winkel=",a," sin=",sin(a)," cos=",cos(a)," tan=",tan(a)));
echo(str("<H3>Winkel=",a," asin=",asin(a)," acos=",acos(a)," atan=",atan(a)));
}
///ΔΔ Helper ΔΔ\\\
///∇∇ Polygons ∇∇///
module Tdrop(r=1,d,grad,cut=true,name,help){
kgrad=is_undef(grad)?atan(layer/(nozzle/1.75)):90-grad;
delta=is_bool(cut)?nozzle-layer:cut; // added cut
r=is_num(d)?d/2:r;
h=cos(kgrad)*r;
x=sin(kgrad)*r;
h2=cut==false?h+tan(kgrad)*x:min(r+delta,h+tan(kgrad)*x);
x2=cut==false? 0:x - (h2-h)/tan(kgrad);
points=[
//[-x,h],
//[ x,h],
each kreis(rand=0,r=r,grad=360-kgrad*2,center=true,rot=-90),
if(x2>minVal)[- x2,h2],
clampToX0([ x2,h2])
];
if(messpunkt)%Tz(.1)color("green",.25)circle(r=r,$fn=fn);
polygon(points);
InfoTxt("Tdrop",["grad",90-kgrad,"cut",cut],name);
HelpTxt("Tdrop",["r",r,"d",d,"grad",grad,"cut",cut,"name",name],help);
}
module VarioFill(
l=15,
exp=+2,
dia,
h,
chamfer=1,
deg=45,
extrude=0,
grad=90,//[0,90]
spiel=spiel,
fn=fn,
name,
help
){
grad=is_list(grad)?grad:[+0,grad];
padding=is_undef(spiel)?[0,0]:
is_list(spiel)?[spiel.x,spiel.y]:
[spiel,spiel];
spiel=is_undef(spiel)?[0,0]:is_list(spiel)?
[spiel.x*max(1,(1/(sin(grad.y)*cos(grad.x)))),spiel.y*max(1,(1/(cos(grad.x)*sin(grad.y))))]:
[spiel*max(1,(1/(sin(grad.y)*cos(grad.x)))),spiel*max(1,(1/(cos(grad.x)*sin(grad.y))))];
//[spiel*(1/sin(grad.y)),spiel*(1/cos(grad.x))];
l=is_list(l)?l:deg?[l,tan(deg)*l]:[l,l];
fn=is_undef(fn)?$fn==0?fs2fn(r=norm(l),grad=90,fs=$fs):$fn:fn;
diaw=dia; // if undef ⇒ 2D
dia=is_num(dia)?dia:0;
extrude=extrude*sign(l.x);
rot=-180;
p1=[
[-spiel.y*sign(l.x) +dia/2, -spiel.x*sign(l.y)],
[-spiel.y*sign(l.x) +dia/2, l.y+sin(grad.x)*spiel.y*sign(l.y)],
[+extrude+dia/2,l.y],
for(i=[fn-1:-1:0])let(seg=90/fn*i)
!chamfer?([sin(seg+rot)*l.x+extrude+l.x+dia/2, cos(seg+rot)*l.y+l.y]):
[pow(((fn-1)-i)/(fn-1),abs(exp))*l.x+extrude+dia/2,pow(i/(fn-1),abs(exp))*l.y],
[extrude+l.x+dia/2,0],
[extrude+l.x-cos(grad.y)*spiel.x*sign(l.x) +dia/2,-spiel.x*sign(l.y)],
];
m=[
[cos(grad.x),sin(grad.y-90),0,0],// scale x, skew x, trans x
[sin(grad.x),cos(grad.y-90),0,0], // skew y, scale y, trans y
[0,0,1,0],
];
points=grad==[0,90]?p1:
[for(i=[0:len(p1)-1])let(p=m*concat(p1[i],[1,0]))[p.x,p.y]];
gK=sin(grad.y)*l.y-sin(grad.x)*l.x;
aK=cos(grad.x)*l.x+cos(grad.y)*l.y;
///color("red")square([aK,gK]);
//polygon(points,convexity=5);
//p2=[for(i=[0:len(points)-1])let(p=m*concat(points[i],[1,0]))[p.x,p.y]];
InfoTxt("VarioFill",["sekantenWinkel",atan(gK/aK)],name);
cut=spiel.x>abs(dia/2) ||
sign(dia)*sign(l.x)==1?false : // both pos or neg
sign(dia)*l.x<sign(l.x)*dia/2;
if(is_num(diaw) && !is_parent(needs2D)) RotEx(cut=cut) polygon(points);
else if(h && !is_parent(needs2D)) linear_extrude(h,convexity=2,$fn=fn)polygon(points);
else if( l.x>0?grad.y>90:grad.y<90 || (l.y>0?grad.x<0:grad.x>0) )
intersection(){
polygon(points);
mirror([sign(l.x)==1?0:1,sign(l.y)==1?0:1])translate([-padding.y+dia/2-(extrude*sign(l.x)<0?-extrude*sign(l.x):0),grad.x<0?-l.y:-padding.x])
square([abs(extrude)+abs(l.x)+padding.y,grad.x<0?2*l.y:abs(l.y)+padding.x]);
}
else polygon(points);
//%multmatrix(m)translate([-spiel.y,-spiel.x])square([l.x+spiel.y,l.y+spiel.x]);
HelpTxt("VarioFill",[
"l",l,
"exp",exp,
"dia",dia,
"h",h,
"chamfer",chamfer,
"deg",deg,
"extrude",extrude,
"grad",grad,//[0,90]
"spiel",spiel,
"fn",fn,
"name",name
],help);
}
module Kreis(r=10,rand=0,grad=360,grad2,fn=fn,center=true,sek=false,r2=0,rand2,rcenter=0,rot=0,t=[0,0],name,help,d,b){
r=is_undef(d)?r:d/2;
d=2*r;
grad=is_undef(b)?grad:r==0?0:b/(2*PI*r)*360;
b=2*r*PI*grad/360;
polygon( kreis(r=r,rand=rand,grad=grad,grad2=grad2,fn=fn,center=center,sek=sek,r2=r2,rand2=rand2,rcenter=rcenter,rot=grad==360?center?rot:rot+90:center?rot+180:rot+90,t=t),convexity=5);
HelpTxt("Kreis",["r",r,"rand",rand,"grad",grad,"grad2",grad2,"fn",fn,"center",center,"sek",sek,"r2",r2,"rand2",rand2,"rcenter",rcenter,"rot",rot,"t",t,"name",name,"d",d,", b",b],help);
if(name){
if(!rcenter){
if(rand>0)echo(str(name," Kreis id=",2*(r-abs(rand))," od=",2*r));
if(rand<0)echo(str(name," Kreis id=",2*r," od=",2*(r+abs(rand))));
}
else if(rand)echo(str(name," Kreis id=",2*r-abs(rand)," od=",2*r+abs(rand)));
}
}
module ZigZag(e=5,es=0,x=50,y=7,mod=2,delta=+0,base=2,shift=0,center=true,name,help){
x=es?e*es:x;
es=es?es:x/e;
T(center?-x/2:0) polygon(ZigZag(e=e,x=x,y=y,mod=mod,delta=delta,base=base,shift=shift),convexity=5);
abst=x/e;
h=y-base;
if(name)echo(str(n," ZigZag Winkel=",atan((abst/2+shift)/h),"°+",atan((abst/2-shift)/h),"°=",atan((abst/2+shift)/h)+atan((abst/2-shift)/h),"° Spitzenabstand=",abst,"mm Zackenhöhe=",h,"mm <font color=red>‼ use Nut(a=0,b=0);"));
if(help){
echo(str("<H3><font color='",helpMColor,"' <b>Help ZigZag(e=",e,",es=",es,",x=",x,",y=",y,",mod=",mod,",delta=",delta,",base=",base,",shift=",shift,",center=",center,",name=",name,",help)"));
}
}
///ΔΔ Polygons ΔΔ\\\
///∇∇ Generator ∇∇///
module Rundrum(x=+40,y,r=10,eck=4,twist=0,grad=90,grad2=90,spiel=0.005,fn=fn,name,help){
$info=name;
$idxON=false;
$fa=fa;
$fs=fs;
$fn=fn;
// WIP
Echo("Angle with different radii not implemeted yet",condition=(r1!=r2||r2!=r3||r3!=r4)&&(grad2!=90||grad!=90));
r1=is_list(r)?r[0]:r;
r2=is_list(r)?r[1]:r;
r3=is_list(r)?r[2]:r;
r4=is_list(r)?r[3]:r;
r=is_list(r)?r[0]:r;
y=is_list(x)?x[1]:is_undef(y)?x:y;
x=is_list(x)?x[0]:x;
//grad2=grad-20;// WIP
shift=tan(grad-90)*y;
grad=grad?grad:shift>0?atan(shift/y):-atan(-shift/y);
shiftx=shift-r*2*tan(grad-90);
shiftx2=tan(grad2-90)*y-r*2*tan(grad2-90);
shiftYLang=Hypotenuse(shiftx,y-2*r);
shiftYLang2=Hypotenuse(shiftx2,y-2*r);
if(eck==4&&grad!=90&&name)echo(str(name," Rundrum grad=",grad,"° ShiftX=",shiftx,"mm (+-",shiftx/2,"mm) Lot(x)=",x*sin(grad),"mm"));
//rx=r?r*(r/(sin(grad)*r)):0;
function rx(r=r,grad=grad)=r*1/sin(grad);
if(eck==4&&twist==0)
if(grad==90&&grad2==90){
$info=is_undef(name)?$info:name;
$tab=is_undef($tab)?1:b($tab,false)+1;
//Ecken
T(-x/2+r1,y/2-r1)rotate(90)RotEx(90,fn=fn/4,cut=true)T(r1)children();// R1
union(){
$info=false;
$helpM=false;
$idx=true; // disable help
T(x/2-r2,y/2-r2)RotEx(90,fn=fn/4,cut=true)T(r2)children();// R2
T(-x/2+r3,-y/2+r3)rotate(180)RotEx(90,fn=fn/4,cut=true)T(r3)children();// R3
T(x/2-r4,-y/2+r4)rotate(-90)RotEx(90,fn=fn/4,cut=true)T(r4)children();// R4
//Graden
//X
T((r1-r2)/2,y/2)R(90,0,90)linear_extrude(x-r1-r2+spiel,center=true,convexity=5)children();
T((r3-r4)/2,-y/2)R(90,0,-90)linear_extrude(x-r3-r4+spiel,center=true,convexity=5)children();
//Y
T(-x/2,(r3-r1)/2)R(90,0,180)linear_extrude(y-r1-r3+spiel,center=true,convexity=5)children();
T(x/2,(r4-r2)/2)R(90,0,+0)linear_extrude(y-r2-r4+spiel,center=true,convexity=5)children();
}
}
else T(-shiftx/2*0){
$info=is_undef(name)?$info:name;
$tab=is_undef($tab)?1:b($tab,false)+1;
//plus x
T(x/2-rx(r2,grad2)+shiftx2/2,y/2-r2)rotate(90-grad2)rotate_extrude(angle=grad2,convexity=5,$fn=0,$fa = grad2/(fn/4), $fs = 0.1)Ecke(r2)children();
union(){
$idx=true; // disable help
$helpM=0;
$info=0;
T(x/2-rx(r4,grad2)-shiftx2/2,-y/2+r4)rotate(-90)rotate_extrude(angle=180-grad2,convexity=5,$fn=0,$fa = (180-grad2)/(fn/4), $fs = 0.1)Ecke(r4)children();
//minus x
T(-x/2+rx(r1)+shiftx/2,y/2-r1)rotate(90)rotate_extrude(angle=180-grad,convexity=5,$fn=0,$fa = (180-grad)/(fn/4), $fs = 0.1)Ecke(r1)children();
T(-x/2+rx(r3)-shiftx/2,-y/2+r3)rotate(-90)rotate_extrude(angle=-grad,convexity=5,$fn=0,$fa = grad/(fn/4), $fs = 0.1)Ecke(r3)children();
//linear x -+
T(+x/2-rx((r2+r4)/2,grad2)+shiftx2/2,y/2-r)rotate(90-grad2)T(+r)R(90,0,0)Tz(-spiel/2)linear_extrude(shiftYLang2+spiel,convexity=5,center=false,$fn=fn)children();
T(-x/2+rx(r1/2+r3/2)-shiftx/2,-y/2+r)rotate(90-grad)T(-r)R(90,0,180)Tz(-spiel/2)linear_extrude(shiftYLang+spiel,convexity=5,center=false,$fn=fn)children();
//linear y -+
T(-x/2+rx()+shiftx/2-spiel/2,y/2+0)R(90,0,90)linear_extrude(x-rx(r1)-rx(r2,grad=grad2)+spiel+shiftx2/2-shiftx/2,convexity=5,center=false,$fn=fn)children();
T(+x/2-rx(grad=grad2)+spiel/2-shiftx2/2,-y/2)R(90,0,-90)linear_extrude(x-rx()-rx(grad=grad2)+spiel-shiftx2/2+shiftx/2,convexity=5,center=false,$fn=fn)children();
}
if(2*r>x||2*r>y){
echo();
Echo(str("››»!!!«‹‹ ",name," Rundrum WARNUNG !!! Radius zu groß !!!"),color="red");
echo();
}
if(name) if((2*r==x||2*r==y)&&x!=y)echo(str(name," Rundrum Halbkreis"));
if(name) if(2*r==x&&2*r==y)echo(str(name," Rundrum Vollkreis"));
}
else{
for(i=[0:eck-1]){
$tab=is_undef($tab)?1:b($tab,false)+1;
$info=is_undef(name)?$info:name;
$idx=i*2;
stepDeg=360/eck;
rotate(i*stepDeg)T(Umkreis(eck,x-r))rotate(-180/eck)rotate_extrude(angle=stepDeg,$fn=fn,convexity=5)intersection(){
T(r)rotate(i*(twist/eck))children();
translate([0,-150])square(300);
}
union(){
$helpM=0;
$info=0;
$idx=i*2+1;
rotate(i*stepDeg+180/eck)T(x) R(90)linear_extrude(2*Kathete(Umkreis(eck,x-r),x-r)+spiel,center=true,twist=twist/eck,$fn=fn,convexity=5)rotate(+twist/eck+i*(twist/eck))children();
}
}
}
MO(!$children);
module Ecke(r=r){
render()intersection(){
T(r)children();
translate([0,-150])square(300);
}
}
HelpTxt("Rundrum",["x",x,"y",y,"r",r,"eck",eck,"twist",twist,"grad",grad,"spiel",spiel,"fn",fn,"name",name],help);
}
module Torus(trx=+6,d=4,a=360,fn=fn,fn2=38,r=0,grad=0,dia=0,center=true,end=0,gradEnd=90,trxEnd=0,endRot=0,endspiel=+0,name,help)
rotate(grad?0:-a/2){
end=is_undef(spheres)?is_bool(end)?end?-1:0:end:spheres;//compatibility
$d=d;
$r=d/2;
endRot=is_list(endRot)?endRot:[endRot,endRot];
trx=dia?dia/2-d/2:trx;
grad=grad?grad:a;
a=end==-1&&!trxEnd? grad-(asin($r/trx)*2)*sign(grad):
grad;
// end==-1&&!$children? a-(asin($r/trx)*2)*sign(a):
// a;
$idxON=false;
InfoTxt("Torus",["Innen∅",2*trx-d,"Mitten∅",2*trx,"Aussen∅",2*trx+d],info=name);
HelpTxt("Torus",["trx",trx,"d",d,"a",a,"fn",fn,"fn2",fn2,",r=",r,", grad=",grad,"dia",dia,"center",center,"end",end,"gradEnd",gradEnd,"trxEnd",trxEnd,"endRot",endRot,"endspiel",endspiel,"name",name,"$d",$d],help);
rotate(end==-1? (asin($r/trx))*sign(grad):
0){
$idx=true;
$info=is_undef(name)?is_undef($info)?false:$info:name;
translate([0,0,center?0:d/2]) RotEx(grad=a,fn=fn,cut=1,help=false){
$idx=0;
$tab=is_undef($tab)?1:b($tab,false)+1;
if($children)T(x=trx)R(0,0,r)children();
else T(x=trx)R(0,0,r)circle(d=d,$fn=fn2);
}
if(end&&a!=360&&!trxEnd){
if($children){
rotate(a+endspiel*sign(grad))translate([trx,0,center?0:d/2])scale([1,abs(end),1])R(0,endRot[1])RotEx(cut=sign(end*grad),grad=180*sign(end),fn=fn/2,help=false)rotate(endRot[1])children();
rotate(+0)translate([trx,0,center?0:d/2])rotate(180)scale([1,abs(end),1])R(0,-endRot[0])RotEx(cut=sign(end*grad),grad=180*sign(end),fn=fn/2,help=false)rotate(endRot[0])children();
}
else{
rotate(a-sign(grad)*minVal)translate([trx,0,center?0:d/2])scale([1,abs(end),1])R(90)Halb(sign(grad)>0?1:0)sphere(d=d,$fn=fn2);
rotate(sign(grad)*minVal)translate([trx,0,center?0:d/2])scale([1,abs(end),1])R(90)Halb(sign(grad)>0?0:1)sphere(d=d,$fn=fn2);
}
}
if(trxEnd)translate([0,0,center?0:d/2]){ // End Ringstück
if($children){
T(trx-trxEnd)rotate(gradEnd*sign(-trxEnd)){
RotEx(grad=gradEnd*sign(trxEnd),cut=+0,fn=fn/360*gradEnd)T(trxEnd)children();
if(end)translate([trxEnd,0,0])rotate(180)scale([1,abs(end),1])R(0,-endRot[0])RotEx(cut=sign(end*gradEnd),grad=180*sign(gradEnd*end),fn=fn/4,help=false)rotate(endRot[0])children();
}
rotate(180+grad)T(-trx+trxEnd)rotate(180){
RotEx(grad=gradEnd*sign(trxEnd),cut=+0,fn=fn/360*gradEnd)T(trxEnd)children();
if(end)rotate(gradEnd*sign(trxEnd))translate([trxEnd,0,0])scale([1,abs(end),1])R(0,endRot[1])RotEx(cut=sign(end*gradEnd),grad=180*sign(gradEnd*end),fn=fn/4,help=false)rotate(endRot[1])children();
}
}
else{
T(trx-trxEnd)rotate(gradEnd*sign(-trxEnd)){
RotEx(grad=gradEnd*sign(trxEnd),fn=fn/360*gradEnd,cut=+0)T(trxEnd)circle(d=d,$fn=fn2);
if(end)translate([trxEnd,0,0])rotate(180)scale([1,abs(end),1])RotEx(cut=sign(end*gradEnd),grad=180*sign(gradEnd*end),fn=fn/8,help=false)circle(d=d,$fn=fn2);
}
rotate(180+grad)T(-trx+trxEnd)rotate(180){
RotEx(grad=gradEnd*sign(trxEnd),cut=+0,fn=fn/360*gradEnd)T(trxEnd)circle(d=d,$fn=fn2);
if(end)rotate(gradEnd*sign(trxEnd))translate([trxEnd,0,0])scale([1,abs(end),1])RotEx(cut=sign(end*gradEnd),grad=180*sign(gradEnd*end),fn=fn/8,help=false)circle(d=d,$fn=fn2);
}
}
}
}
}
module LinEx(h=5,h2=0,h22,scale=0.85,scale2,twist,twistcap=1,slices,$d,$r=5,grad,grad2,mantelwinkel=0,center=false,rotCenter=false,end=0,fn=12,name,help,n){
$info=is_undef(name)?is_undef($info)?false:$info:name;
$helpM=0;
$idxON=false;
end=is_bool(end)?end?[1,1]:[0,0]:is_list(end)?end:[end,end];
name=is_undef(n)?name:n;
twistcap=is_list(twistcap)?twistcap:[twistcap,twistcap];
$r=is_undef($d)?$r:$d/2;
$d=2*$r;
h22=abs(is_undef(h22)?is_list(h2)?h2[1]:h2:h22);
h2=abs(is_list(h2)?h2[0]:h2);
hc=h-h2-h22;
scale2=is_undef(grad2)?
is_undef(grad)?
is_undef(scale2)?h22?scale:1:scale2
:is_list(grad)?is_list($r)?[($r[0]-(h22/tan(grad[0])))/($r[0]),($r[1]-(h22/tan(grad[1])))/($r[1])]:[($r-(h22/tan(grad[0])))/($r),($r-(h22/tan(grad[1])))/($r)]:($r-(h22/tan(grad)))/($r)
:is_list(grad2)?
is_list($r)?[($r[0]-(h22/tan(grad2[0])))/($r[0]),($r[1]-(h22/tan(grad2[1])))/($r[1])]:[($r-(h22/tan(grad2[0])))/($r),($r-(h22/tan(grad2[1])))/($r)]:($r-(h22/tan(grad2)))/($r);
scale=h2?is_undef(grad)?scale:
is_list(grad)?
is_list($r)?[($r[0]-(h2/tan(grad[0])))/($r[0]),($r[1]-(h2/tan(grad[1])))/($r[1])]:[($r-(h2/tan(grad[0])))/($r),($r-(h2/tan(grad[1])))/($r)]:($r-(h2/tan(grad)))/($r):1;
grad=h2?is_list(scale)?
is_list($r)?[atan(h2/($r[0]-$r[0]*scale[0])),atan(h2/($r[1]-$r[1]*scale[1]))]:[atan(h2/($r-$r*scale[0])),atan(h2/($r-$r*scale[1]))]
:atan(h2/($r-$r*scale)):0;
grad2=h22?is_list(scale2)?is_list($r)?[atan(h22/($r[0]-$r[0]*scale2[0])),atan(h22/($r[1]-$r[1]*scale2[1]))]:[atan(h22/($r-$r*scale2[0])),atan(h22/($r-$r*scale2[1]))]:atan(h22/($r-$r*scale2)):0;
mantelwinkel=is_undef(twist)?mantelwinkel:atan(twist*PI*$d/360/hc);
twist=is_undef(twist)?mantelwinkel?360*tan(mantelwinkel)*hc/(2*PI*$r):0:twist;
slices=is_undef(slices)?$preview?twist?fn:1:round(min(abs(twist)/hc*10,hc/l(2))):slices;
InfoTxt("LinEx",["core h",str(hc,"mm - twist per mm=",twist/(hc),"°, Fase für $d= ",$d,"mm ist ",grad,"°/",grad2,"° d=",$d*scale,"/",$d*scale2,"mm - r=",$r*scale,"/",$r*scale2,"mm Mantelwinkel für $d/$r=",$d,"/",$r,"mm⇒ ",mantelwinkel,"° twist=",twist,"° slices=",slices)],name);
Echo(str(name," LinEx Höhe center=",hc,"mm"),color="red",condition=hc<0);
if(is_list(grad2)?$r*tan(min(grad2[0],grad2[1]))<(is_list($r)?[h22,h22]:h22)&&min(grad2[0],grad2[1])<90&&min(grad2[0],grad2[1])>0:$r*tan(grad2)<(is_list($r)?[h22,h22]:h22)&&grad2<90&&grad2>0)Echo(str(name," LinEx Höhe h22=",h22," mm zu groß oder winkel/$r zu klein min=",atan(h22/$r),"° max=",is_list(grad2)?$r*tan(min(grad2[0],grad2[1])):$r*tan(grad2),"mm"),color="red");
if(is_list(grad)?$r*tan(min(grad[0],grad[1]))<(is_list($r)?[h2,h2]:h2)&&min(grad[0],grad[1])<90&&min(grad[0],grad[1])>0:$r*tan(grad)<h2&&grad<90&&grad>0)Echo(str(name," LinEx Höhe h2=",h2," mm zu groß oder winkel/$r zu klein min=",atan(h2/$r),"° max=",$r*tan(grad),"mm"),color="red");
HelpTxt("LinEx",["h",h,"h2",h2,"h22",h22,"scale",scale,"scale2",scale2,"twist",twist,"twistcap",twistcap,"slices",slices,"$d",$d,"grad",grad,"grad2",grad2,", mantelwinkel",mantelwinkel,"center",center,"rotCenter",rotCenter,"end",end,"fn",fn,"name",name],help);
rotate(center?0:rotCenter?-twist/2:-twist/2+(twistcap[0]&&hc?-twist/hc*h2:0))
T(z=center?-h/2:0){
$idx=true;
union(){
//capoben
if(h22)T(z=h-h22)rotate(-twist/2)linear_extrude(h22,scale=scale2,twist=twistcap[1]?twist/(hc)*h22:0,convexity=5,slices=slices/hc*h22)children();
//capunten
if(h2)Tz(h2)rotate(twist/2)mirror([0,0,1])linear_extrude(h2,scale=scale,twist=twistcap[0]?-twist/(hc)*h2:0,convexity=5,slices=slices/hc*h2)children();
}
//center
Tz(h2){
$idx=0;
$tab=is_undef($tab)?1:b($tab,false)+1;
rotate(twist/2)linear_extrude(hc,scale=1,convexity=5,twist=twist,slices=slices,center=false)children();
}
if(end[0]){
rotate(twist/2+(twistcap[0]?twist/(hc)*h2:0))rotate(sign(end[0])>+0?[-90,0,-90]:[-90,0,0]) RotEx(cut=true,grad=180,fn=fn)scale(scale)rotate(sign(end[0])>0?90:0)children();
}
if(end[1]){
Tz(h)rotate(-twist/2-(twistcap[1]?twist/(hc)*h22:0))rotate(sign(end[1])>+0?[-90,0,-90]:[-90,0,0])RotEx(cut=true,grad=-180,fn=fn)
scale(scale2)rotate(sign(end[1])>0?90:0)children();
}
}
MO(!$children);
}
///ΔΔ Generator ΔΔ///
///∇∇ Basic Objects ∇∇///
/*
points=[[0,0,-2],for(i=[0:35])[sin(i*10),cos(i*10),0],for(i=[0:35])[sin(i*10),cos(i*10),5],[0,0,7]];
points1=[for(i=[0:36])[sin(i*10),cos(i*10),0]*1.5,for(i=[0:36])[sin(i*10),cos(i*10),5],for(i=[0:36])[sin(i*10)*0.75,cos(i*10)*1.5,10]];
pointsE1=[[0,0,-2],for(i=[0:35])[sin(i*10),cos(i*10),0],for(i=[0:35])[sin(i*10),cos(i*10),5]];
pointsE2=[for(i=[0:35])[sin(i*10),cos(i*10),0],for(i=[0:35])[sin(i*10),cos(i*10),5],[0,0,7]];
//Points(points1,loop=36,start=36*2);
//echo(points1[36]);
PolyH(points,loop=36,pointEnd=true,end=true,name="pointy");
T(10)PolyH(pointsE1,loop=36,pointEnd=1,end=true,name="point∇");
T(-10)PolyH(pointsE2,loop=36,pointEnd=2,end=true,name="pointΔ");//WIP
T(0,-10)PolyH(points1,loop=37,pointEnd=0,end=true);
T(0,10)PolyH(octa(5));
//*/
module PolyH(points,loop,end=true,pointEnd=false,convexity=5,name,help){
loop=is_undef(loop)||loop<3?1:loop;
points=assert(!is_undef(points))points;
lp=len(points);
loops=pointEnd?pointEnd==1||pointEnd==2?(lp-1)/loop:
(lp-2)/loop:
lp/loop;
fBottom=[[for(i=[loop -1:-1:0])i]];
fTop=[[for(i=[0:loop -1])i+lp-(loop)]];
fBody=loops>1?[for(lev=[0:loops -2],i=[0:loop -1])[
i +loop*lev,
(i +1)%loop+loop*lev,
(i +1)%loop+loop*(lev+1),
i +loop*(lev+1)
]]:[];
faces=loop>1?end?concat(
fBottom,
pointEnd==2?[for(i=[0:loop -1])[lp-i -2,lp-1,lp-(i+1)%loop -2]]:fTop,
fBody
):
fBody:
[[for(i=[0:lp-1])i]]
;
pointyFaces=(pointEnd==true||pointEnd==1)&&loops>1?[
if(pointEnd==true||pointEnd==1) for(i=[0:loop -1])[(i + 1)%loop + 1,i +1,0],//bottom
if(pointEnd==true||pointEnd==2) for(i=[0:loop -1])[lp-i -2,lp-1,lp-(i+1)%loop -2],//top
for(lev=[0:loops -2],i=[0:loop -1])let(pE=1)[
pE + i +loop*lev,
pE + (i +1)%loop+loop*lev,
pE + (i +1)%loop+loop*(lev+1),
pE + i +loop*(lev+1)
]
]:[];
if(loop>1)polyhedron(points,(pointEnd==true||pointEnd==1)&&loop>1?pointEnd==1?concat(pointyFaces,fTop):
pointyFaces:
faces,convexity=convexity);
else hull()polyhedron(points,faces,convexity=convexity);
InfoTxt("PolyH",["loops",loops,"points",lp],loop>1?name:false);
InfoTxt("PolyH using hull—",["points",lp],loop==1?name:false);
HelpTxt("PolyH",["points",[[0,0,0],[1,2,3]],"loop",loop,"end",end,"pointEnd",pointEnd,"name","convexity",convexity,name],help);
}
module Isosphere(r=1,d,q=70,help){
r=is_undef(d)?r:d/2;
/* Kogan, Jonathan (2017) "A New Computationally Efficient Method for Spacing n Points on a Sphere," Rose-Hulman Undergraduate Mathematics Journal: Vol. 18 : Iss. 2 , Article 5.
Available at: https://scholar.rose-hulman.edu/rhumj/vol18/iss2/5 */
function sphericalcoordinate(x,y)= [cos(x )*cos(y ), sin(x )*cos(y ), sin(y )];
function NX(n=70,x)=
let(toDeg=57.2958,PI=acos(-1)/toDeg,
start=(-1.+1./(n-1.)),increment=(2.-2./(n-1.))/(n-1.) )
[ for (j= [0:n-1])let (s=start+j*increment )
sphericalcoordinate( s*x*toDeg, PI/2.* sign(s)*(1.-sqrt(1.-abs(s)))*toDeg)];
function generatepoints(n=70)= NX(n,0.1+1.2*n);
a= generatepoints(q);
scale(r)hull()polyhedron(a,[[for(i=[0:len(a)-1])i]]);
HelpTxt("Isosphere",["r",r,"q",q],help);
}
module KBS(e=2,grad=2,center=true,male=true,female=false,rot=0,n=4,top=false,knob,knobH,fKnob,fKnobH,dist,bh,name,help){
male=female?false:male;
d=is_undef(knob)?4.8:knob;//knobs on top of blocks
fd=is_undef(fKnob)?d:fKnob;//fknobs on bottom of blocks
h=is_undef(knobH)?2:knobH;// knob height
ks=is_undef(dist)?8.0:dist; // spacing
rand=1.5;
bh=is_undef(bh)?9.6:bh;// block height
roof_thickness=1;//1.05
pin_diameter=3; //pin for bottom blocks with width or length of 1
post_diameter=6.5;
reinforcing_width=1.5;
axle_spline_width=2.0;
axle_diameter=5;
fh=is_undef(fKnobH)?bh/3-roof_thickness:fKnobH;
e=is_list(e)?e:[e,e];
if(e.z)linear_extrude(e.z*bh,scale=1,convexity=5)hull()Grid(e=e,es=[ks,ks,0],center=center,name=false)square(d+rand*2,center=center);
if(male||female)Grid(e=e,es=[ks,ks,0],center=center,name=false){
if(male)translate([0,0,e.z?e.z*bh+h:h])rotate(180,[1,0])linear_extrude(h,scale=(d/2-h/tan(90-grad))/(d/2),convexity=5) circle(d=d);
// for holes on bottom
else {
h=fh;
d=fd;
translate([0,0,(e.z?e.z*bh:0)-.001]){
linear_extrude(h,scale=(d/2-(h)/tan(90+grad))/(d/2),convexity=5)rotate(180/n+rot)Rund(d/3)circle(d=Umkreis(n,d),$fn=n);//;square(d,center=center);
if(top)Tz(h-.001)linear_extrude(is_bool(top)?1:top,scale=0,convexity=5)scale((d/2-(h)/tan(90+grad))/(d/2))rotate(180/n+rot)Rund(d/3)circle(d=Umkreis(n,d),$fn=n);
}
}
}
InfoTxt("KBS",["size",str(
str(d+rand*2+ks*(e.x-1),"×",d+rand*2+ks*(e.y-1),e.z?str("×",e.z*bh):"")
,grad?str(" diff ",grad,"° bei h=2mm ",tan(grad)*2):
""
)],name);
HelpTxt("KBS",["e",e,"grad",grad,"center",center,"male",male,"female",female,"rot",rot,"n",n,"top",top,"knob",knob,"knobH",knobH,"fKnob",fKnob,"fKnobH",fKnobH,"dist",dist,"bh",bh,"name",name],help);
}
module GT2Pulley(
h=6,// Belt h
z=16,// teeth
achse=6.6,//hole
center=true,
name,
help){
d=2*z/PI+(0.63-0.254)*2+0.2;
center=is_bool(center)?center?1:0:center;
T(center?center<0?[0,0,h/2+1.1]:
[0,0,0]:
[z/PI,z/PI,h/2]){
if($info)%Ring(h,d=2*z/PI,rand=-.63,center=true);
$info=false;
LinEx(h+1,center=true)GT(z=z,achse=achse);
difference(){
MKlon(tz=-h/2-1.1){
Pille(.5,d=d,rad2=0,center=false);//cylinder(.5,d=12);
Tz(.5)Kegel(d1=d,d2=d-2.5,grad=25);
}
cylinder(50,d=achse,center=true);
MKlon(tz=-h/2-1.3)Kegel(achse+0.75);
}
//%Ring(h,d=d,rand=1.38,center=true);
}
InfoTxt("GT2Pulley",["aussenH",h+2.2,"d",d,"radius Riemenmitte",z/PI],name);
HelpTxt("GT2Pulley",["h",h,"z",z,"achse",achse,"center",center,"name",name],help);
}
// Was KreisSeg( Was TorusSeg(
module RingSeg(
grad=90,
size=4,
h,
rad=1.0,
r=10,
spiel=.5,
fn=fn,
fn2,
name,
help
){
HelpTxt("RingSeg",["grad",grad,"size",size,"h",h,"rad",rad,"r",r,"spiel",spiel,"fn",fn,"fn2",fn2,"name",name],help);
$info=name;
rad2=rad+spiel;//spiel
h=assert(is_num(size))is_undef(h)?size:h;
winkel2=asin(rad2/(r+size/2-rad));
winkel1=asin(rad2/(r-size/2+rad));
fn2=is_undef(fn2)?fn:fn2;
fnS=fn2;
union(){
$helpM=false;
difference(){
Torus(grad=grad,end=+0,trx=r,d=size,fn=fn)Quad(size,h,r=rad,fn=fn2);
//base part
linear_extrude(h+5,center=true,convexity=5)polygon([
[0,0],
(r-size/2 +rad) *[sin(90-winkel1), cos(90-winkel1)],// mittelpunkt sphere1
(r+size/2 -rad) *[sin(90-winkel2), cos(90-winkel2)],// mittelpunkt sphere2
(r+size/2 +5) *[sin(90-winkel2), cos(90-winkel2)],
[r+size/2 +5,-rad],
]);
// angeled part
linear_extrude(h+5,center=true,convexity=5)polygon([
[0,0],
(r-size/2 +rad) *[sin(-grad +90 +winkel1), cos(-grad +90 +winkel1)],// mittelpunkt sphere1
(r+size/2 -rad) *[sin(-grad +90 +winkel2), cos(-grad +90 +winkel2)],// mittelpunkt sphere2
(r+size/2 +5) *[sin(-grad +90 +winkel2), cos(-grad +90 +winkel2)],
(r+size/2 +5) *[sin(90-grad-5),cos(90-grad-5)],
]);
}
//End cabs
hull(){
rotate(asin(rad2/(r+size/2-rad))) T(r+size/2-rad)MKlon(tz=h/2-rad)OctaH(rad,n=fnS);
rotate(asin(rad2/(r-size/2+rad))) T(r-size/2+rad)MKlon(tz=h/2-rad)OctaH(rad,n=fnS);
}
hull(){
rotate(grad-asin(rad2/(r+size/2-rad))) T(r+size/2-rad)MKlon(tz=h/2-rad)OctaH(rad,n=fnS);
rotate(grad-asin(rad2/(r-size/2+rad))) T(r-size/2+rad)MKlon(tz=h/2-rad)OctaH(rad,n=fnS);
}
}
}
module Abzweig(r1=5,r2=20,rad=2,inside=false,d1,d2,spiel=spiel,fn=fn,help){
r1=is_undef(d1)?r1:d1/2;
r2=is_undef(d2)?r2:d2/2;
assert(r1<=r2,"r2>r1");
fn2=fn/2;
//$fn=fn;
function h(i)=Kathete(r2+rad,cos(i*360/fn)*(r1+rad))-rad;
function hIn(i)=Kathete(r2+rad,cos(i*360/fn)*(r1+rad*1.50))+rad;
sc=(r1+rad-rad*sin(asin((r1+rad)/(r2+rad))))/(r1+rad);
rotate(inside?180:0,v=[0,1])intersection(){
difference(){
if(!inside)cylinder(r2+rad,r=r1+rad);
if(inside)scale([1+(1-sc),1])Tz(-r2*2+rad)cylinder(r2+rad,r=r1+rad);
cylinder((r2+rad)*3,r=r1-spiel,center=true);
if(!inside)R(90)cylinder((r1+rad)*3,r=r2-spiel,center=true,$fa=+1,$fn=undef);
Tz(inside?rad*3:rad)for(i=[0:fn]){
step=360/fn;
hull(){
Tz(inside?-hIn(i):h(i))rotate(i*step)T(r1+rad,z=-rad)Pille(l=.1+r2+(inside?rad*3:rad)-h(i),r=rad,rad=rad,rad2=0,center=false,name=false,fn=fn,fn2=fn2);
Tz(inside?-hIn(i+1):h(i+1))rotate((i+1)*step)T(r1+rad,z=-rad)Pille(l=.1+r2+(inside?rad*3:rad)-h(i+1),r=rad,rad=rad,rad2=0,center=false,name=false,fn=fn,fn2=fn2);
}
/*hull(){ hull(){
Tz(inside?-hIn(i):h(i))rotate(i*step)T(r1+rad)R(90)sphere(r=rad);
Tz((inside?-1:1)*r2)rotate(i*step)T(r1+rad)R(90)cylinder(.5,r1=rad,r2=0);
}
hull(){
Tz(inside?-hIn(i+1):h(i+1))rotate((i+1)*step)T(r1+rad)R(90)sphere(rad);//cylinder(.5,r1=rad,r2=0);
Tz((inside?-1:1)*r2)rotate((i+1)*step)T(r1+rad)R(90)cylinder(.5,r1=rad,r2=0);
}
} // end hull */
}
}
if(!inside)scale([sc,1.00])cylinder(500,r=r1+rad,center=true);
if(inside)R(90) cylinder(500,r=r2+spiel,center=true);
}
HelpTxt("Abzweig",["r1",r1,"r2",r2,"rad",rad,"inside",inside,"d1",d1,"d2",d2,"spiel",spiel,"fn",fn],help);
}
module HypKehleD(grad=40,steps=15,l=10,l2,l3,d=2.5,d2,fill=false,exp=1,fn=24,name,help){
exp=is_num(exp)?[exp,exp]:is_bool(exp)?[1,1]:exp;
d3=is_undef(d3)?d:d3;
l= is_list(l)?len(l)==3?l:
concat(l,l[0]):
[l,l,l];
l3=is_undef(l3)?l[2]:l3;
l2=is_undef(l2)?l[1]:l2;
HypKehle(grad=90-grad,l=l2,l2=l3,steps=steps,d1=d,d2=d2,exp=exp[1],fill=fill,fn=fn);
R(0,180)HypKehle(grad=90+grad,l=l[0],l2=l3,d1=d,d2=d2,steps=steps,exp=exp[0],fill=fill,fn=fn);
HelpTxt("HypKehleD",["grad",grad,"steps",steps,"l",l,"l2",l2,"l3",l3,"d",d,"d2",d2,"fn",fn,"fill",fill,"exp",exp,"name",name],help);
}
module HypKehle(l=15,grad=90,d1=3,d2,l2,steps=20,fn=24,fill=false,exp=1,center=false,name,help){
rot=1;
d2=is_undef(d2)?d1:d2;
$d=d1;
$r=d1/2;
l2=is_undef(l2)?l:l2;
$info=false;
$idxON=false;
$tab=is_undef($tab)?1:b($tab,false)+1;
R(center?-grad/2:0)
for(i=[0:steps-1]){
Color(1/(steps*1.5)*i,$idxON=false)hull()
union(){
$idx=i;
Tz(pow(i,exp)*l/pow(steps-1,exp))R((grad +(180-grad)/(steps-1)*i)*rot +(rot?0:180))
if($children)linear_extrude(.1,scale=0)children(0);
else rotate(180/fn)cylinder(.1,d1=d1,d2=0,$fn=fn);
if(fill){
$info=false;
if($children)R(0,90)RotEx(cut=true,fn=fn)rotate(90)children();
else Isosphere(d=is_num(fill)?fill:max(d1,d2),$fn=fn);
}
Color($idxON=false) R(grad)Tz(pow((steps-1)-i,exp)*l2/pow(steps-1,exp)) R( (180-grad)/(steps-1)*i*rot +180)
if($children){
$info=$children>1?1:0;
linear_extrude(.1,scale=0)mirror([0,1])children($children>1?1:0);
}
else rotate(180/fn)cylinder(.1,d1=d2,d2=0,$fn=fn);
}
}
if(!fill&&!$children)R(0,0,90)Isosphere(d=is_num(fill)?fill:max(d1,d2),$fn=fn);
HelpTxt("HypKehle",["l",l,"grad",grad,"d1",d1,"d2",d2,"l2",l2,"steps",steps,"fn",fn,"fill",fill,"exp",exp,"center",center,"name",name],help);
}
module BB(
r=10,
ball=5,
rand=1,
e,
spiel=0.125,
support=0.15,
h,
top,
cage=false,
cyl=true,
achse,
od,
rad=[.75,.75],
center=true,
name,
help
){
$info=false;
$helpM=false;
rand=is_list(rand)?rand:[rand,rand];
top=is_undef(top)?rand[0]/2:top;
h=is_undef(h)?ball+top*2:h;
if(achse&&achse>r*2-ball-2*rand[1]-2*spiel)Echo("BB Achse zu groß - limited",color="red");
if(od&&od<r*2+ball+2*rand[0]+2*spiel)Echo("BB OD zu klein - limited",color="red");
if(h<ball) Echo("BB h kleiner Kugel",color="red");
if(h>ball+top*2) Echo("BB Kugel = Walze!",color="green");
achseDia=is_undef(achse)?r*2-ball-2*rand[1]-2*spiel:min(r*2-ball-2*rand[1]-2*spiel,achse);
oDia=is_undef(od)? r*2+ball+2*rand[0]+2*spiel:max(od,r*2+ball+2*rand[0]+2*spiel);
e=is_undef(e)?floor(360/gradS(r=r,s=ball+spiel)):min(e,floor(360/gradS(r=r,s=ball+spiel)));
InfoTxt("BB",["Achse",achseDia,"Hoch",h,"OD",oDia,"Kugel∅",h>ball+top*2?str(ball,"×",h-top*2):ball,"Anzahl",e],name);
Tz(center?0:h/2){
Polar(e,r)if(h>ball+top*2)Pille(h-top*2,d=ball);else sphere(d=ball);
difference(){
union(){
Pille(h,d=oDia,rad=rad[0]);//Body
Tz(center?0:-h/2)children();
}
if(achseDia) Strebe(h,d=achseDia,rad=rad[1],center=true);// Achse
if(h>ball+top*2)Torus(trx=r,d=ball+spiel*2)MKlon(mx=1)Pille(h-top*2+spiel*2,d=$d,2D=+1);
else Torus(trx=r,d=ball+spiel*2);//Rille
Mklon(tz=h/2+1.25)Torus(trx=r,d=ball,fn2=6);//innenfase
Ring(h+1,d=r*2,rand=ball/2,rcenter=true,center=true);//Trennspalt
}
if (cage) difference(){
union(){
if(h>ball+top*2)Torus(trx=r,d=ball-spiel*2)MKlon(mx=1)Pille(h-top*2-spiel*2,d=$d,2D=+1);
else Torus(trx=r,d=ball-spiel*2);
Ring(h=h,d=r*2,rand=ball/2,rcenter=true,center=true);
}
Polar(e,r)if(h>ball+top*2)Pille(h-top*2+.6,d=ball+.6); else sphere(d=ball+.6);
Tz(-h/2) Ring(h=top,d=r*2,rand=ball,rcenter=true,center=false);
}
//supportbrim
if(support&&!cyl)difference(){
Tz(-h/2) Ring(h=top+.2,d=r*2,rand=ball/2-.5,rcenter=true,center=false);
if (h>ball+top*2) Tz(-h/2+top+ball/2)Polar(e,r)sphere(r=ball/2+support);
else Polar(e,r)sphere(r=ball/2+support);
}
if(cyl)Tz(-h/2){
Polar(e,r)cylinder(h=h/2,d=ball/2-.5);
if(support)Ring(l(2),r=r,rand=n(2),rcenter=true);
}
}
HelpTxt("BB",["r",r,"ball",ball,"rand",rand,"e",e,"spiel",spiel,"support",support,"h",h,"top",top,"cage",cage,"cyl",cyl,"achse",achse,"od",od,"rad",rad,"center",center,"name",name],help);
}
module Egg(r1=10,r2=3,breit,grad,r3=true,fs=fs,name,help){
breit=is_undef(breit)?r1:breit;
x=r1-breit/2;
r2=is_undef(grad)?r2:r1-(Hypotenuse(x,tan(grad)*x));
assert(breit>=r2*2,str("max r2=",breit/2,"/ breit min=",r2*2," r2=",r2,"breit=",breit));
a=r1-r2;
grad=is_undef(grad)?acos(x/a):grad;
hM=tan(grad)*x;
// %Color(){
// Kreis(r1,grad=grad,center=false,t=[0,-r1/2]);
// Kreis(r2,grad=180-grad*2,center=true,t=[hM,0]);
// Kreis(r1,grad=grad,center=false,rot=180-grad,t=[0,r1/2]);
// if(r3)Kreis(grad=180,r1/2,rot=180); }
points=concat(
kreis(r1,grad=grad,rot=-90,center=false,t=[x,0],rand=0,sek=true,fn=fs2fn(r1,grad,fs,5))
, kreis(r2,grad=180-grad*2,rot=90,center=true,t=[0,hM],rand=0,sek=true,fn=fs2fn(r2,180-grad*2,fs,5))//spitze
, kreis(r1,grad=grad,center=false,rot=90-grad,t=[-x,0],rand=0,sek=true,fn=fs2fn(r1,grad,fs,5))
);
pointsR3=Kreis(grad=180,r=breit/2,rot=-90,rand=0,sek=true,fn=fs2fn(breit/2,180,fs,10));
polygon(r3?concat(points,pointsR3):points);
//if(help)echo("Help Egg(r1=10,r2=3,grad,r3=1,name,help);");
HelpTxt("Egg",["r1",r1,"r2",r2,"breit",breit,"grad",grad,"r3",r3,"fs",fs,"name",name],help);
InfoTxt("Egg",["hM",hM,"h",str(hM+r2,r3?str("/",hM+r2+breit/2):""),"breit(r3×2)",breit,"grad",grad,"r1",r1,"r2",r2],name);
}
module GT(z=20,achse=3.5,spiel=.05,evolute=true,pulley=true,linear=true,fn=fn,name,help){
fn=max(6,fn);
p=2; // zahnabstand
PLD=0.254; // ?Mittellinie? Pitch Line distance
r1=.15;//kehle basis zahn
r2=1; // zahn flanken radius im abstand [b,i]
r3=.555;// zahn spitzen radius
b=0.4;// abstand mitte Mittelpunkt r2
h=1.38; //gesamt h (i+ht)
ht=0.75; // zahnhöhe
i=.63; // band dicke
breiteZahn=(r2-b)*2;
umfang=z*p;
module GT2(){ //GT2
pointsGT2= concat(
[[-p,ht],[-p,ht+i],[p,ht+i],[p,ht]]
, kreis(r=r2,fn=fn/16,grad=22.5,center=false,t=[-b,ht],rot=90,rand=0,sek=true)
, kreis(r=r3,grad=180-45,rot=-90,fn=fn/4,t=[0,r3],rand=0,sek=true)
, kreis(r=r2,fn=fn/16,grad=22.5,center=false,t=[b,ht],rot=-90-22.5,rand=0,sek=true)
);
T(0,-ht)Rund(0,r1,fn=fn)
polygon(pointsGT2);
//union(){
//%T(-p,ht)square([2*p,i]);
// }
// Color("lime")T(0,r3,-0.1)circle(r3,$fn=fn);
// Color("green")T(0,ht,-.11)intersection(){
// T(b)circle(r=r2,$fn=fn);
// T(-b)circle(r=r2,$fn=fn);
// square([2,0.85],true);
// }
//%Color("red")T(0,ht-r1)MKlon(0.736)circle(r1);
}
if(pulley){
if(evolute){
offset(-spiel)Rund(0.1,0,fn=fn){
r=umfang/2/PI;
difference(){
circle(r,$fn=z*2);
for(i=[0:z-1])rotate(i*360/z)
for(i=[-20:20])rotate(-i)T(-umfang/360*i,r-PLD)GT2();
if(achse)circle(d=achse-spiel*2,$fn=fn);
}
InfoTxt("GT2 Pulley evolute profile",["Dia",r*2-spiel*2-PLD*2,"z",z],name);
//if(name)echo(str(is_bool(name)?"":"<b>",name," GT2 Pulley evolute profil Dia=",r*2-spiel*2-PLD*2," z=",z));
}
}
else{
offset(-spiel)Rund(r1,0,fn=fn){
r=umfang/2/PI-PLD;
difference(){
circle(r,$fn=z*2);
for(i=[0:z-1])rotate(i*360/z)T(0,r)GT2();
if(achse) circle(d=achse-spiel*2,$fn=fn);
}
InfoTxt("GT2 Pulley",["Dia",r*2-spiel*2,"z",z],name);
//echo(str(is_bool(name)?"":"<b>",name," GT2 Pulley Dia=",r*2-spiel*2,"z=",z));
}
}
}
else {
$info=false;
if (linear)Linear(e=z,es=2)GT2();
else {
r=umfang/2/PI;
intersection(){
Polar(e=z,y=r-PLD)GT2();
circle(r+i-PLD,$fn=z*2);
}
}
InfoTxt("GT2 Belt",concat(["Länge",z*p],linear?[]:["(aussen",str((umfang/2/PI+i-PLD)*2*PI,")")]),name);
// echo(str(is_bool(name)?"":"<b>",name," GT2 Belt Länge=",z*p,linear?"":str("(aussen ",(umfang/2/PI+i-PLD)*2*PI,")")));
}
HelpTxt("GT",["z",z,
"achse",achse,
"spiel",spiel,
"evolute",evolute,
"pulley",pulley,
"linear",linear,
"fn",fn,
"name",name
],help);
}
module Scale(v=[+1.5,+0.8,+0.8,0.6,0.7,1.3],// scaling factors for quadrants [x-,x+,y-,y+,z-,z+]
2D,size=viewportSize/2,help){
2D= is_undef(2D)?is_undef(v[4])?true:false:2D;
makeV =function(v=v) [for(i=[0:5])is_undef(v[i])?1:v[i]];
v=makeV();
size=is_undef(size)?bed?printBed:100:size;
if($children)if(2D){
scale([v[1],v[3]])intersection(){
children();
rotate(0)square(size);
}
scale([v[0],v[3]])intersection(){
children();
rotate(90)square(size);
}
scale([v[0],v[2]])intersection(){
children();
rotate(180)square(size);
}
scale([v[1],v[2]])intersection(){
children();
rotate(-90)square(size);
}
}else{
scale([v[0],v[2],v[5]])intersection(){
children();
rotate(-180)cube(size);
}
scale([v[0],v[3],v[5]])intersection(){
children();
rotate(+90)cube(size);
}
scale([v[1],v[3],v[5]])intersection(){
children();
rotate(0)cube(size);
}
scale([v[1],v[2],v[5]])intersection(){
children();
rotate(-90)cube(size);
}
scale([v[0],v[2],v[4]])intersection(){
children();
rotate([-90,0,-180])cube(size);
}
scale([v[0],v[3],v[4]])intersection(){
children();
rotate([-90,0,90])cube(size);
}
scale([v[1],v[3],v[4]])intersection(){
children();
rotate([-90,0,0])cube(size);
}
scale([v[1],v[2],v[4]])intersection(){
children();
rotate([-90,0,-90])cube(size);
}
}
HelpTxt("Scale",["v",v,
"2D",2D,"size",size],help);
MO(!$children);
}
module Rosette(
r1=10,
r2=15,
ratio=2,
wall=0.4,
id,
od,
fn=fn,
rotations,
name,
help
){
$info=0;
$helpf=0;
$messpunkt=0;
function rotations(ratio=ratio,n=1,max=500)=ratio==0?1:n/ratio%1&&n/ratio<max?rotations(ratio,n+1):n/ratio;//ganzzahliger Wert
autocalcRot=rotations();
Echo(str(name," Rosette rotations auto calc (",autocalcRot>=500?"over500 calc stopped":autocalcRot,") > 30 ↦ clamped to 30"),color="warning",condition=autocalcRot>25);
rotations=is_undef(rotations)?min(25,autocalcRot):rotations;
points=abs(ratio)>1?abs(fn*ratio*rotations):abs(rotations*fn);
calc=is_num(id)&&is_num(od)?1:0;
mr=calc? abs(id)<abs(od)?(od-id)/4:(id-od)/4:
0;
r1=calc? mr - wall/2 * (sign(id)==sign(od)?sign(id):0) :
r1;
r2=calc? mr+ (abs(id)<abs(od)?id/2:od/2) +wall/2 * (sign(id)!=sign(od)?sign(abs(id)<abs(od)?id:od):0):
r2;
for (i=[0:points-1]){
$idx=i;
hull(){
rotate(i*360*rotations/points)translate([r1,0])rotate(i*360*rotations*ratio/points)translate([r2,0])if($children)children(0);else circle(d=wall,$fn=12);
rotate((i+1)*360*rotations/points)translate([r1,0])rotate((i+1)*360*rotations*ratio/points)translate([r2,0])if($children)children($children>1?1:0);else circle(d=wall,$fn=12);
}
}
InfoTxt("Rosette",["Rotations",rotations,"Punkte",points,"id",-wall+abs((abs(r2)-abs(r1))*2),"od",wall+abs((abs(r1)+abs(r2))*2)],name);
HelpTxt("Rosette",[
"r1",r1,
"r2",r2,
"ratio",ratio,
"wall",wall,
"id",id,
"od",od,
"fn",fn,
"rotations",rotations,
"name",name
], help);
}
module Pfeil(l=[+2,+3.5],b=+2,shift=0,grad=60,d,center=true,name,help){
shift=is_list(shift)?shift:[shift,-shift];
l=is_list(l)?l:[l/2,l/2];
b=is_list(b)?b:[b,2*(l[1]-shift[0])*tan(grad/2)];
center=is_bool(center)?center?[1,1]:[0,0]:is_list(center)?center:[center,center];
points=[
[l[1],0],//spitze
[shift[0],b[1]/2],
[0,b[0]/2],
if(!d)[-l[0],b[0]/2],//End oben
if(!d)[-l[0]+shift[1],0],//End mitte
if(!d)[-l[0],-b[0]/2],//End unten
[0,-b[0]/2],
[shift[0],-b[1]/2],
];
if(d)translate(center.y?center.y<0?[0,d/2]:
[0,0]:
[0,-d/2]){
Kreis(d=d,rand=b[0],b=-l[0],center=false,rcenter=true,rot=-90);
translate([0,d/2])polygon(points);
// intersection(){ // bend arrow head option
// square(50);
// difference(){
// sca=0.4;
// T(+0)scale([1-sca,1])circle(r=d/2+b[1]/2);
// T(+0)scale([1.1+sca,1])circle(r=d/2-b[1]/2);//+b[1]/2);
// }
// %circle(r=d/2);
// }
}
else translate([center.x?center.x>0?0:-l[1]:l[0],center.y?center.y>0?0:-b[1]/2:b[1]/2]) polygon(points);
InfoTxt("Pfeil",["Winkel",2*atan((b[1]/2)/(l[1]-shift[0]))],name);
HelpTxt("Pfeil",[
"l",l,
"b",b,
"shift",shift,
"grad",grad,
"d",d,
"center",center,
"name",name],help);
}
module Gewinde(
dn=6,
p=1,
kern,
breite,
rad1,
rad2,
winkel=60,
wand=+1,
mantel,
h,
gb,
innen=false,
grad=180*7,
start=fn/3,// Einfädelstrecke
end,
korrektur=true,// verbreiterung durch gangwinkel
profil=false,
fn2=4,
fn=fn,
cyl=true,
tz=0,
konisch=0,
center=true,
rund=false,
ratio,
spiel=.15,
name,
help,
s,w=0,g=1,rot2=0,r1=0,detail=fn,name,preset=0,translate=[0,0,0],rotate=[0,0,0],d=0,gd=0,r=0,help,endMod=true,new
){
iso_Gewinde=[ //name,pSteigung,dn
["M1",0.25,1],
["M1.2",0.25,1.2],
["M1.6",0.35,1.5],
["M2",0.4,2],
["M2.5",0.45,2.5],
["M3",0.5,3],
["M3.5",0.6,3.5],
["M4",0.7,4],
["M4.5",0.75,4.5],
["M5",0.8,5],
["M6",1,6],
["M7",1,7],
["M8",1.25,8],
["M9",1.25,9],
["M10",1.5,10],
["M12",1.75,12],
["M14",2,14],
["M16",2,16],
["M20",2.5,20],
["M24",3,24],
["M30",3.5,30]
] ;
other_Gewinde=[//search0, pSteigung,dn,winkel,name
["search","p-Steigung[1]","dn[2]","kern[3]","breite[4]","rad1[5]","rad2[6]","winkel[7]","name[8]"], // Spalten
["BSW1",1.814,20.955,20.955-0.640327*1.814*2,undef,0.13732908*1.814,0.13732908*1.814,55,"½-Zoll"],//halb Zoll
["BSW2",1.814,26.441,26.441-0.640327*1.814*2,undef,0.13732908*1.814,0.13732908*1.814,55,"¾-Zoll"],// 3/4 Zoll
["Flasche",3.18,27.43,24.95,.05,.4,.4,65,"PCO-28"],// Flasche 28mmHalsring
["Flasche2",4,27.43,24.95,.05,.4,.4,65,"PCO-28 P4"],// Flasche Badeschaum
];
// Zeilennr für Suchbegriff [preset]
zeile=preset[0]=="M"?search([preset],iso_Gewinde)[0]:
search([preset],other_Gewinde)[0];
if(is_num(useVersion) && useVersion<19.88 && is_undef(new) || new==false){// old Version
Echo(str("Using GewindeV2,useVersion=",useVersion),color="warning");
if($children)GewindeV2(dn=dn,s=s,w=w,g=g,winkel=winkel,rot2=rot2,r1=r1,kern=kern,fn=fn<20?fn:1,detail=detail,spiel=spiel,name=name,tz=tz,preset=preset,h=is_undef(h)?grad/360*p:h,translate=translate,rotate=rotate,d=d,gd=gd,r=r,center=center,help=help,p=p,endMod=endMod)children();
else GewindeV2(dn=dn,s=s,w=w,g=g,winkel=winkel,rot2=rot2,r1=r1,kern=kern,fn=fn<20?fn:1,detail=detail,spiel=spiel,name=name,tz=tz,preset=preset,h=is_undef(h)?grad/360*p:h,translate=translate,rotate=rotate,d=d,gd=gd,r=r,center=center,help=help,p=p,endMod=endMod);
}
else if(is_num(zeile)){ // presets
//metric
if(preset[0]=="M"){
GewindeV4(
p=iso_Gewinde [zeile][1],
dn=iso_Gewinde[zeile][2]+(innen?spiel*2:0),
grad=grad,h=h,winkel=60,name=iso_Gewinde[zeile][0],
innen=innen,wand=wand,mantel=mantel,cyl=cyl,tz=tz,start=start,
end=end,fn=fn,fn2=fn2,center=center,rund=rund,ratio=ratio,spiel=spiel,profil=profil,help=help);
if($children)difference(){
children();
if(innen)Tz(center?tz-iso_Gewinde[zeile][1]/2:
tz)cylinder(is_undef(h)?(grad+360)*iso_Gewinde[zeile][1]/360:
h,d=iso_Gewinde[zeile][2]+spiel*4,$fn=fn);
}
// other
}else if(preset){
if(preset=="search")echo(zeile=zeile,Txt=other_Gewinde[zeile]);
else {
GewindeV4(
p=other_Gewinde [zeile][1],
dn=other_Gewinde[zeile][2]+(innen?spiel*2:0),
kern=is_undef(other_Gewinde[zeile][3])?undef:other_Gewinde[zeile][3]+(innen?spiel*2:0),
breite=is_undef(breite)?other_Gewinde [zeile][4]:breite,
rad1=is_undef(rad1)?other_Gewinde [zeile][5]:rad1,
rad2=is_undef(rad1)?other_Gewinde [zeile][6]:rad2,
winkel=other_Gewinde [zeile][7],
wand=wand,mantel=mantel,innen=innen,grad=grad,h=h,
start=start,end=end,center=center,profil=profil,fn2=fn2,
fn=fn,cyl=cyl,tz=tz,rund=rund,ratio=ratio,spiel=spiel,
name=other_Gewinde[zeile][8],
help=help);
}
}
}
else{ info=$info;
Polar(g,r=innen?g%2?0:180/g:0,name=false){
$tab=$tab-1;
$info=info;
GewindeV4(p=p,
dn=dn,
kern=kern,
breite=breite,
rad1=rad1,
rad2=rad2,
winkel=winkel,
wand=wand,
mantel=mantel,
h=h,
gb=gb,
innen=innen,
grad=grad,
start=start,// Einfädelstrecke
end=end,
korrektur=korrektur,// verbreiterung durch gangwinkel
profil=profil,
fn2=fn2,
fn=fn,
cyl=cyl,
tz=tz,
konisch=konisch,
center=center,
rund=rund,
ratio=ratio,
spiel=spiel,
name=name,
g=g,
help=help);
}
Echo(str("Gewinde preset=",preset," Not found!"),color="red",condition=preset);
if($children)difference(){
children();
if(innen)Tz(center?tz-p/2:tz-0)cylinder(is_undef(h)?grad*p/360+p:h,d=dn+spiel*2,fn=fn);
}
}
}
module GewindeV4(
dn=6,
p=1,
kern,
breite,
rad1,
rad2,
winkel=60,
wand=+1,
mantel,
h,
gb,
innen=false,
grad=180*7,
start=fn/3,// Einfädelstrecke
end,
korrektur=true,// verbreiterung durch gangwinkel
profil=false,
fn2=4,
fn=fn,
cyl=true,
tz=0,
konisch=0,
center=true,
rund=false,
ratio,
spiel=.1,//unused used at Gewinde innen=true
g=1,// only for autosize
name,
help
){
halbWinkel=is_list(winkel)?winkel:[winkel/2,winkel/2];
Kwinkel=[90-halbWinkel[0],90-halbWinkel[1]];// Komplement winkel
//winkel=is_list(winkel)?[90-winkel[0],90-winkel[1]]:[90-winkel/2,90-winkel/2];
gver=pow(g,1.5);//autocalc for g
center=is_num(center)?center:center==true?1:0;
start=round(start);
end=is_undef(end)?start:round(end);
kern=is_undef(kern)?innen?round((dn-p*1.08/gver)*100)/100:round((dn-p*1.225/gver*+1)*100)/100:kern;
dn=is_undef(dn)?innen?round((kern+p*1.08/gver)*100)/100:round((kern+p*1.225/gver)*100)/100:dn;
wand=is_undef(mantel)?innen?wand:wand>kern/2?0:wand:abs(mantel-kern)/2;
d1=innen?-kern:dn;//Gewindespitzen
d2=innen?-dn:kern;//Gewindetäler
grad=max(//windungen
is_undef(h)?grad-(grad%(360/fn)):(h-p)/p*360-(((h-p)/p*360)%(360/fn)),
360/fn*(start+end))
;
mantel=is_undef(mantel)?innen?d2-wand*2:wand?kern-wand*2:kern/2+0.0001:innen?-max(mantel,0.0001):max(mantel,0.0001);//innenloch /aussenmantel
winkelP=atan(p/((d1+d2)/2*PI));//Steigungswinkel
profilkorrekturY=korrektur?1/sin(90+winkelP):1;
gb=is_undef(gb)?p/profilkorrekturY:gb; // gangBreite axial
gangH=(d1-d2)/2; // gang Höhe radial (H)
h=grad*p/360+p;
flankenBreite=[tan(halbWinkel[0])*gangH,tan(halbWinkel[1])*gangH];
breite=is_undef(ratio)||!ratio?is_undef(breite)?gb/g/8:
breite:
(gb/g-flankenBreite[0]-flankenBreite[1])/2*(b(ratio,false));
breite2=gb/g -breite -flankenBreite[0] -flankenBreite[1];
rad1Max=min(breite /2/tan(Kwinkel[0]/2),breite /2/tan(Kwinkel[1]/2));
rad2Max=min(breite2/2/tan(Kwinkel[0]/2),breite2/2/tan(Kwinkel[1]/2));
Echo(str(name," Gewinde rad1 zu groß",rad1,">",rad1Max),color="red",
condition=is_num(rad1)&&rad1>rad1Max);
Echo(str(name," Gewinde rad2 zu groß",rad2,">",rad2Max),color="red",
condition=is_num(rad2)&&rad2>rad2Max);
rad1=min(rad1Max,b(rund,false)==1||b(rund,false)==2?rad1Max:
is_undef(rad1)?p/20/g:
rad1);
rad2=min(rad2Max,b(rund,false)==1||b(rund,false)==3?rad2Max:
is_undef(rad2)?p/10/g:
rad2);
step=180/max(start,end,1);
InfoTxt(innen?" Innengewinde ":" Außengewinde ",[
"dn",dn,//"(",innen?d2:d1,")
"Steigung",p,
"Kern",kern,
"Mantel",mantel,
"Winkel",winkel[0]==winkel[1]?halbWinkel[0]*2:halbWinkel,
"Gangwinkel",winkelP,
"h",h,
str(grad/360," Windungen ("),str(grad,"°)"),
"Ganghöhe",gangH]
,name);
/*tangYold=[rad1*sin(winkel[0])-tan(90-winkel[0])*(rad1-cos(winkel[0])*rad1),
rad1*sin(winkel[1])-tan(90-winkel[1])*(rad1-cos(winkel[1])*rad1)];//*/
tangY=[tan(Kwinkel[0]/2)*rad1,tan(Kwinkel[1]/2)*rad1];
Echo(str(name," Gewinde Überlappung! breite2",negRed(breite2)),color=breite==0?"warning":"red",condition=0>=breite2);
//Echo(str(name," Gewinde Zero breite2",negRed(breite2)),color="red",condition=0==breite2);
Echo(str(name," Gewinde breite=",breite," is bigger (",(tangY[0]+tangY[1]),
") rad1(",rad1,"),rad1 max=",rad1Max,
" p/16= ",p/16),condition=tangY[0]+tangY[1]>breite);
//,if (breite==0&&rad1>p/16)echo(str("<b><font color=red>",name," Gewinde breite=0 rad1>p/16= ",p/16));
HelpTxt("Gewinde",
["p",p
,"dn",dn
,"kern",kern
,"breite",breite
,"rad1",rad1
,"rad2",rad2
,"winkel",halbWinkel[0]==halbWinkel[1]?halbWinkel[0]*2:halbWinkel
,"wand",wand
,"mantel",abs(mantel)
,"h",h
,"gb",gb // gang breite gesamt
,"innen",innen
,"grad",grad
,"start",start// Einfädelstrecke
,"end",end
,"korrektur",korrektur// verbreiterung durch gangwinkel
,"profil",profil // 2D Ansicht
,"fn2",fn2
,"fn",fn
,"cyl",cyl
,"tz",tz
,"konisch",konisch
,"center",center
,"rund",rund
,"ratio",ratio
,"spiel",spiel
,"name",name
],help);
points=[
for(i=[0:max(start+1,end+1,5)])vollwelle(fn=fn2,l=gb,h=start?gangH*(0.5+sin(i*step-90)/2):gangH,r=rad1,r2=rad2,tMitte=breite,
grad=start?[max(Kwinkel[0]*sin(i*.5*step+0),1),max(Kwinkel[1]*sin(i*.5*step+0),1)]:
Kwinkel,
grad2=[-konisch,konisch],extrude=d2/2,x0=mantel/2,xCenter=-1)
];
profilnr=start;
pointskorr=[for(i=[0:len(points[profilnr])-1])[points[profilnr][i][0],points[profilnr][i][1]*profilkorrekturY]];
detail=fn*grad/360;
function faces1(points,start=0)=[[for(i=[0:len(points)-1])i+start]];//bottom
function faces0(points,start=0)=[[for(i=[len(points)-1:-1:0])i+start]];//Top
function faces2(points,start=0)=[for(i=[+0:len(points)-1])each[ //start/end Gang komplett
[i+start,i+start+1,i+len(points)+start],//skin tri 1
[i+start,i+len(points)+start,i+len(points)-1+start]//skin tri 2
]];
function faces3(points,start=+0)=[for(i=[2:len(points)-2]) //outer Wall
[i+start,i+1+start,i+start+len(points)+1,i+start+len(points)]//skin quad
];
function faces31(points,start=+0)=[for(i=[len(points)-2]) //outer Wall (Innengew)
[start+i,1+start+i,start+len(points)+1+i,start+len(points)+i]//skin quad
];
function faces4(points,start=+0)=[for(i=[0]) //inner Wall
[start+i,1+start+i,start+len(points)+1+i,start+len(points)+i]//skin quad
];
function faces41(points,start=+0)=[for(i=[0:len(points)-4]) //inner Wall(Innengew)
[i+start,i+1+start,i+start+len(points)+1,i+start+len(points)]//skin quad
];
function faces5(points,start=+0)=[for(i=innen?[len(points)-3]:[1]) //floor
[i+start,i+1+start,i+start+len(points)+1,i+start+len(points)]//skin quad
];
function faces6(points,start=+0)=[for(i=innen?[len(points)-1]:[-1]) // ceil
[1+start+i,start+len(points)+1+i,start+len(points)*2+i,start+len(points)+i]//skin quad
];
function RotEx(rot=0,points=points,verschieb=tan(konisch),steigung=p,detail=fn,start=start,end=end)=
[for(rotation=[0:detail*rot/360])for(i=innen?[0:len(points[0])-1]:[len(points[0])-1:-1:0])
[ // Punkt
if(rotation<detail*rot/360-end)(points[min(rotation,max(start,end))][i][0]+verschieb*rotation/detail*steigung)*sin(rotation*360/detail) //⇐ normal
else (points[detail*rot/360-rotation][i][0]+verschieb*rotation/detail*steigung)*sin(rotation*360/detail),
if(rotation<detail*rot/360-end)profilkorrekturY*points[min(rotation,max(start,end))][i][1]+rotation/detail*steigung //⇐ normal
else profilkorrekturY*points[detail*rot/360-rotation][i][1]+rotation/detail*steigung,
if(rotation<detail*rot/360-end)(points[min(rotation,max(start,end))][i][0]+verschieb*rotation/detail*steigung)*cos(rotation*360/detail) //⇐ normal
else (points[detail*rot/360-rotation][i][0]+verschieb*rotation/detail*steigung)*cos(rotation*360/detail)
] // Punkt end
];
facesALL=concat(
faces0(points=RotEx(+0))//floor endcap
,faces1(points=RotEx(0),start=len(RotEx(grad))-len(RotEx(0)))//top endcap
,[if(innen)for(level=[0:detail-1])each faces31(points=RotEx(0),start=(len(RotEx(0)))*level)
else for(level=[0:detail-1])each faces3(points=RotEx(0),start=(len(RotEx(0)))*level)]//Outer wall
,[if(innen)for(level=[0:detail-1])each faces41(points=RotEx(0),start=(len(RotEx(0)))*level)
else for(level=[0:detail-1])each faces4(points=RotEx(0),start=(len(RotEx(0)))*level)]//inner wall
,[for(level=[0:(fn*min(1,grad/360))- 1])each faces5(points=RotEx(0),start=(len(RotEx(0)))*level)]// bottom
,[for(level=[detail-(fn*min(1,grad/360)):detail- 1])each faces6(points=RotEx(0),start=(len(RotEx(0)))*(level-(innen?1:+0)))]//top wall
);
pointsALL=RotEx(grad);//3D
if(profil)!Linear(x=0,y=1,es=p)polygon(points=pointskorr);
else Tz(center?center<0?-p/2+tz:tz:tz+p/2)color(innen?"slategrey":"gold"){
R(90,0,90) polyhedron(points=pointsALL,faces=facesALL,convexity=5);
if(cyl)Tz(-p/2)linear_extrude(h,convexity=5,scale=1+h*tan(konisch)/(d2/2))Kreis(r=d2/2-.000001,rand=innen?max(wand,+0.0001):mantel<0.01?0:wand,fn=fn,name=0);//Ring(h=h,rand=wand,d=abs(d2),cd=innen?-1:1);
}
}
module Coil(
r=20,
d=5,
r2,
od,
id,
grad=3*360,
p,
pitch=10,
points,
twist=0,
scale=1,
fn=fn,fn2=36,
open=true,
help){
d=is_num(od)&&is_num(id)?(od-id)/2 : d;
r=is_undef(points)?is_num(od)?(od-d)/2:is_num(id)?(id+d)/2:r:r;
r2=is_undef(r2)?r:r2;
points=is_undef(points)?kreis(d=d,rand=0,fn=fn2):points;
Echo("Coil using points od id or d can't compute",color="warning",condition=points&&od||points&&id);
Echo("Coil intersecting",color="warning",condition=!points&&norm([(r-r2)/grad*360,pitch])<d);
iFN=round(fn*grad/360*max(1,twist/360/3))-1;
path=[for(i=[0: iFN ])
let(deg=grad/iFN,
p=is_undef(p)?pitch/360*deg:p/360*deg,
rDiff=(r2-r)/iFN
)
[sin(i*deg)*(r+rDiff*i),cos(i*deg)*(r+rDiff*i),p*i]];
PolyH(pathPoints(points,path,twist=twist,scale=scale,open=open),
loop=len(points),name=false);
HelpTxt("Coil",["r",r,"d",d,"r2",r2,"od",od,"id",id,"grad",grad,"pitch",is_undef(p)?pitch:p,"points","kreis(d=d)","twist",twist,"scale",scale,"fn",fn,"fn2",fn2,"open",open],help);
}
module DBogen(
grad=25,
x=50,
rad2=3,
rad,
base=+0,
fn,
fs=fs,
messpunkt=false,
spiel=minVal,
name,
help
){
l=x;
a=is_undef(grad)?2*asin((rad2-l/2)/(rad2-rad))
:grad;
r2=rad2*sign(180-a); //vorzeichen mod für große winkel
a2=90-a/2; //(180-a)/2;
r2x=r2-r2*sin(a/2);//cos(a2);
r=is_undef(grad)?rad:(l-r2x*2)/(2*sin(a/2));
h=r*cos(a/2);
r2h=r2*sin(a2);
if($parent_modules<2&&$messpunkt||messpunkt){
Caliper(abs(l),s=7,center=1,messpunkt=0,end=2,translate=[00,-2,0]);//color("red")cube([l,1,1],true);
Caliper(Sehne(r=r,a=a),s=7,center=1,messpunkt=0,end=2,translate=[00,-h+r2h+r+2,0]);
Caliper(-h+r2h+r,s=7,in=+2,center=0,messpunkt=0,end=2,translate=[00,+0,0]);
//color("yellow")cube([1,h,1],false);
//color("green")T(-l/2,r2h)cube([r2x,.1,2]);
Pivot([0,-h+r2h],active=[1,0,0,1,1],messpunkt=messpunkt);
}
InfoTxt("DBogen",["radius",str(r,"mm"),"center r",-h+r2h,"∅",str(2*r,"mm"), "r2",r2,"h",str(-h+r2h+r,"mm")],name);//
if(!$children&&name)Echo("DBogen has no 2D-Object, ⇒ polygon",color="black");
HelpTxt("DBogen",[
"grad",grad,
"x",x,
"rad2",rad2,
"rad",str(rad,"/*(",r,")*/"),
"base",base,
"fn",fn,
"fs",fs,
"messpunkt",messpunkt,
"spiel",spiel,
"name",name
],help);
// echo($parent_modules);
if($children){
$tab=is_undef($tab)?1:b($tab,false)+1;
$info=name;
$messpunkt=false;
$helpM=false;
$idxON=false;
/*MKlon(my=1)if($idx<+1){
Col(1)T(y=-h+r2h)rotate(90)Kreis(r=r,rand=1,rcenter=true,grad=a);
MKlon(-l/2+r2,mx=1)rotate(90)Kreis(r=r2,center=false,rand=+1,rcenter=true,grad=a2);
}*/
T(y=-h+r2h)rotate(90)RotEx(grad=a+spiel,center=true,cut=sign(r),fn=max(12,is_undef(fn)?abs(kreisbogen(r,a+spiel)/fs):fn*2))T(r)children();
union(){$idx=1;
if(grad!=180)MKlon(l/2-r2,mx=1)RotEx(grad=a2+spiel,center=false,cut=sign(r2),fn=max(12,is_undef(fn)?abs(kreisbogen(r2,a2+spiel)/fs):fn))T(r2)children();
if(base)R(90)linear_extrude(abs(base),convexity=5)MKlon(l/2,mx=1)children();
}
}
else{
rand=0;
points=concat(
[[l/2,base]]
,[[-l/2,base]]
, kreis(r2,grad=a2,rand=rand,t=[-l/2+r2,0],rot=-90,center=false,fn=max(12,is_undef(fn)?kreisbogen(r2,a2)/fs:fn),sek=true)
, kreis(r,grad=a,rand=rand,t=[0,-h+r2h],rot=90,fn=max(12,is_undef(fn)?kreisbogen(r,a)/fs:fn*2),sek=true)// Scheitelbogen
, kreis(r2,grad=a2,rand=rand,t=[l/2-r2,0],rot=90-a2,center=false,fn=max(12,is_undef(fn)?kreisbogen(r2,a2)/fs:fn),sek=true)
);
polygon(points);
}
}
module DRing(d=4,id=20,r=.5,l=0,grad=180,fn=fn,center=true,name,help){
$info=false;
$d=d;
r=is_list(r)?r:[r,d/2];
translate(center?[0,0]:[0,d/2+r[0]+l])union(){
if($children){
DBogen(fn=fn/2,grad=grad,x=(id+d)+r[0]*2,rad2=max(r[1],.0001))children();
union(){
$info=false;
//RotEx(180,fn=fn/2)T((id+d)/2+r)children();
T(y=-l)MKlon(tx=id/2)rotate(-90)RotEx(90,fn=fn/8)T(d/2+r[0])children();
T(y=-d/2-r[0]-l)R(90,0,-90)linear_extrude(id,center=true)children();
if(l)MKlon((id+d)/2+r[0])R(90)linear_extrude(l,center=false)children();
}
}
else{
//RotEx(180,fn=fn/2)T((id+d)/2+r[0]) circle(d=d,$fn=fn);
DBogen(fn=fn/2,grad=grad,x=(id+d)+r[0]*2,rad2=max(r[1],.0001))circle(d=d,$fn=fn);
T(y=-l)MKlon(tx=id/2)rotate(-90)RotEx(90,fn=fn/8)T(d/2+r[0])circle(d=d,$fn=fn);
if(l)MKlon((id+d)/2+r[0])R(90)linear_extrude(l,center=false) circle(d=d,$fn=fn);
T(y=-d/2-r[0]-l)R(90,0,-90) linear_extrude(id,center=true) circle(d=d,$fn=fn);
}
if(name)%T(y=-d-r[0]-l-$vpd/100)Caliper(id,messpunkt=0);
}
if(name)echo(str(is_string(name)?"<H3>":"",name," DRing dist=",id+r[0]*2+d,"mm innen h=",l+2*r[0]+id/2,"mm"));
HelpTxt("DRing",[
"d",d,
"id",id,
"r",r,
"l",l,
"grad",grad,
"fn",fn,
"centre",center,
"name",name]
,help);
}
module Nut(e=2,es=10,a=6,b=6,base=1,h=1,s,center=true,shift=0,winkel,grad,name,help){
grad=is_undef(winkel)?assert(grad!=0)grad:assert(winkel!=0)winkel;
s=is_undef(s)?is_num(grad)&&is_num(b)?e*(a+b-2*h*tan(90+grad)):
is_undef(es)?assert( is_num(b) && is_num(a),"define a + b")a+b:
e * es:
s;
es=is_num(grad)&&is_num(b)?a+b-2*h*tan(90+grad):
s/e;
b=is_undef(grad)?is_undef(b)?es-a:
b:
2*(h*tan(90+grad))+es-a;
points=[[s,base],[s,0],[0,0],[0,base],
for(i=[0:e-1])each[
[b/2+i*es,base],
[es/2-a/2+shift+i*es,h+base],
[es/2+a/2+shift+i*es,h+base],
[(es-b/2)+i*es,base]]
];
path=[[for(i=[0:len(points)-1])i]];
// echo (points,path);
translate(center?[-s/2,-base]:[0,0]) polygon(points,path,convexity=10);
winkel1=atan(h/(es/2-a/2-b/2+shift));
winkel2=atan(h/(es/2-a/2-b/2-shift));
InfoTxt("Nut",concat(["winkel",str(winkel1,shift?str(" /",winkel2):"","°"),
"Länge",s,
"Abstand",es],
"Abstand a",negRed(es-a),
"Abstand b",negRed(es-b),
grad?["b",negRed(b)]:[])
,name);
HelpTxt("Nut",[
"e",e,
"es",es,
"a",a,
"b",b,
"base",base,
"h",h,
"s",s,
"center",center,
"shift",shift,
"grad",grad,
"name",name],
help);
}
// SicherungsRing
module SRing(e=4,id=3.5,od=10,h=.8,rand=n(3),reduction=.5,schlitz=-17,help){
$info=false;
intersection(){
LinEx(h,.2,scale=1.05)Rund(0.3)difference(){
Kreis(od/2);
Rund(0.5) Stern(e,od/2-rand,id/2-reduction-1,mod=100,delta=schlitz);
rotate(180+180/e)intersection_for(i=[0:e-1])rotate(i*360/e)T(reduction)Kreis(id/2,fn=e*15);
}
Pille(h,d=od,rad=.3,center=false);
}
HelpTxt("SRing",[
"e",e,
"id",id,
"od",od,
"h",h,
"rand",rand,
"reduction",reduction,
"schlitz",schlitz,]
,help);
}
module Bevel(z=0,r=.5,on=!$preview,grad=45,fillet=0,fn=12,messpunkt=messpunkt,help){
diff=fillet?sin(grad)*r:tan(grad)*r;
if(on)difference(){
children();
minkowski(convexity=5){
difference(){
Tz(z>0?500+z-diff:-500+z+diff) cube(1000,true);
children();
}
if(!fillet)R(z>0?0:180)Kegel(d1=0,d2=r*2,fn=fn,grad=grad,name=false);
else Tz(z>0?r:-r)R(z>0?180:0)RotEx(cut=1,fn=fn)Kehle(2D=true,rad=r,fn2=fn);
}
}else
children();
if (messpunkt){
%Grid(e=[2,2,1],es=is_bool(messpunkt)?10:messpunkt,name=false)Tz(z)if(!fillet)color("orange",alpha=.75){
R(z>0?180:0)Kegel(d2=0,d1=r*2,fn=fn,grad=grad,name=false);
R(z>0?0:180)cylinder(.5,r=r*1,$fn=fn);
}
else color("green",alpha=.75)R(z>0?180:0)Tz(-r+diff)RotEx(cut=1,fn=fn)Kehle(2D=true,rad=r,fn2=fn,spiel=.5);
%Tz(z)if(!fillet)color("orange",alpha=.75){
R(z>0?180:0)Kegel(d2=0,d1=r*2,fn=fn,grad=grad,name=false);
R(z>0?0:180)cylinder(.5,r=r*1,$fn=fn);
}
else color("green",alpha=.75)R(z>0?180:0)Tz(-r+diff)RotEx(cut=1,fn=fn)Kehle(2D=true,rad=r,fn2=fn,spiel=0.5);
}
HelpTxt("Bevel",[
"z",z,
"r",r,
"on",on,
"grad",grad,
"fillet",fillet,
"fn",fn,
"messpunkt",messpunkt]
,help);
}
module SpiralCut(layer=l(1),h=12,x=.025,ir=1,or=5,winkel,name,help){
winkel=is_undef(winkel)? 360-360/PHI:winkel ;
cuts=ceil(h/layer)-1;
for(i=[0:cuts]){
rotate(i*winkel)T(-x/2,ir,i*layer)cube([x,or-ir,layer]);
}
InfoTxt("SpiralCut",["Winkel",winkel,"Layer",layer,"Cuts",cuts],name);
HelpTxt("SpiralCut",[
"layer",layer,
"h",h,
"x",x,
"ir",ir,
"or",or,
"winkel",winkel,
"name",name],
help);
}
module Buchtung(size=[10,5],l=10,r=2.5,rmin=0,center=true,fn=fn,fn2=fn,phase=360,deltaPhi=-90,help){
size=is_list(size)?size:[size,size];
rmin=is_list(rmin)?rmin:[rmin,rmin,rmin,rmin];
r=is_list(r)?r:[r,r,r,r];
points=[
for (i=[0:fn])
let(
zscale=l/(fn),
rscale=r-rmin)
each quad(size,r=(1+sin(i*phase/fn+deltaPhi))/2*rscale+rmin,z=i*zscale,fn=fn2)
];
/*
for (i=[0:fn-1]){
j=i+1;
zscale=l/fn;
rscale=r-rmin;
$info=0;
$helpM=false;
translate(center?[0,0,-l/2]:[0,0,0]+size/2)Color(i/((fn-1)*1.1))hull(){
$idx=i;
Tz(i*zscale)linear_extrude(minVal,scale=0)Quad(size,r=(1+sin(i*phase/fn+deltaPhi))*rscale/2+rmin,fn=fn2);
Tz(j*zscale+minVal){
$idx=j;
linear_extrude(minVal,scale=0)Quad(size,r=(1+sin(j*phase/fn+deltaPhi))*rscale/2+rmin,fn=fn2);
}
}
}
//*/
translate(center?[0,0,-l/2]:[0,0.0,0]+size/2)PolyH(points,loop=floor(fn2/4)*4+4,name=false);
HelpTxt("Buchtung",[
"size",size,
"l",l,
"r",r,
"rmin",rmin,
"fn",fn,
"fn2=",fn2,
"phase",phase,
"deltaPhi",deltaPhi],
help);
}
module CyclGetriebe(z=20,modul=1.5,w=45,h=4,h2=.5,grad=45,achse=3.5,achsegrad=60,light=false,lock=false,center=true,lRand=n(2),d=0,rot=0,linear=false,preview=true,spiel=0.075,fn=fn,name,help){
$info=false;
center=is_bool(center)?center?1:0:center;
preview=$preview?preview:true;
linear=linear==true?1:linear;
r=z/4*modul;
mitteR=(r-modul/2)/2+achse/4;
rand=r-achse/2-modul/2-lRand*2;
if(!linear){T(center?0:z/4*modul)T(y=center>1?z/4*modul:0)rotate(rot)difference(){
LinEx(h=h,h2=h2,$d=z/2*modul,mantelwinkel=w,slices=preview?(h-1)*2:2,grad=d>r*2?-grad:grad)
if($preview&&!preview) Kreis(d=d>r*2?d:$d,rand=d>r*2?d/2-r:r-d/2);
else render()CycloidZahn(modul=modul,z=z/2,d=d,spiel=spiel,fn=fn);
if(achse) Tz(-.01)LinEx(h=h+.02,h2=h2,$d=achse,grad=-achsegrad)circle(d=$d);
if(light)Tz(-0.01)Polar(light)T(mitteR)LinEx(h=h+.02,h2=h2,$r=rand,grad=-60)T(-mitteR)Rund(min(rand/light,rand/2-0.1),fn=18)Kreis(r=mitteR,rand=rand,grad=min(360/light-15,320),grad2=max(360/light-40,10),rcenter=true,fn=z/light);
if(lock)LinEx(h=h,h2=h2,$r=1.65,grad=-60)WStern(help=0,r=$r);
}
InfoTxt("CyclGetriebe",["Wälzradius",z/4*modul],name);
}
if (linear)T(0)intersection(){M(skewzx=-tan(w))T(0,-linear)LinEx(h,.5,$r=linear,grad=[90,45],grad2=[90,45])T(0,linear)CycloidZahn(z=z/2,modul=modul,linear=linear,center=center,spiel=spiel);
}
//Color()T(mitteR,0,4)circle(d=rand);
HelpTxt("CyclGetriebe",[
"z",z,
"modul",modul,
"w",w,
"h",h,
"h2",h2,
"grad",grad,
"achse",achse,
"achsegrad",achsegrad,
"light",light,
"lock",lock,
"center",center,
"lRand",lRand,
"d",d,
"rot",rot,
"linear",linear,
"preview",preview,
"spiel",spiel,
"fn",fn,
"name",$info]
,help);
}
module CycloidZahn(modul=1,z=10,d=0,linear=false,center=false,spiel=+0.05,fn=fn,kreisDivisor=3.50,name,help){
//if(is_undef(UB)) echo(str("<H1><font color=red> include ub.scad> "));
z1=z%1?floor(z)+0.4999999:z;
z=z%1?floor(z)+0.5:z;
l=modul*PI*z-spiel*2;
r=modul*z/2;//Wälzkreis
spielwinkel=spiel/(r*2*PI)*360;
rot=90/z;
kreis=Umkreis(z*2,z*modul/2+modul/kreisDivisor+(d>r*2?spiel:-spiel));
$info=false;
if(!linear)Polar(z%1?2:1,end=z%1?180+rot:360,r=z%1?0:180/(z*4))
Rund(modul/10,fn=18){
intersection (){
rotate(-spielwinkel) Cycloid(modul=modul,z=z1,d=d,fn=fn);
rotate(rot+spielwinkel) Cycloid(modul=modul,z=z1,d=d,fn=fn);
if(d<r*2)rotate(-rot/2) circle(r=kreis,$fn=z*2);
else Kreis(d=d+10,rand=(d/2+5-kreis)+Umkreis(z*2,modul/3.5*2),rot=z%1?-rot/2:rot/2,fn=z*2);
}
rotate(180/z)intersection (){
rotate(-spielwinkel) Cycloid(modul=modul,z=z1,d=d,fn=fn);
rotate(rot+spielwinkel) Cycloid(modul=modul,z=z1,d=d,fn=fn);
if(d<r*2) rotate(-rot/2)circle(r=kreis,$fn=z*2);
else Kreis(d=d+10,rand=(d/2+5-kreis)+Umkreis(z*2,modul/3.5*2),rot=z%1?-rot/2:rot/2,fn=z*2);
}
}
if(linear){
T(center?-l/2:0)Rund(modul/10,fn=18)intersection(){
T(2.5*-modul*PI/4) Klon(tx=modul*PI/4) intersection(){
T(-modul*PI/4-spiel*2) Cycloid(modul=modul,z=z1+2,d=d,linear=linear,fn=fn);
T(0)Cycloid(modul=modul,z=z1+2,d=d,linear=linear,fn=fn);
}
T(0,-(linear==true?1:linear)) square([l,(linear==true?1:linear)+modul/3.5]);
}
}
InfoTxt("CycloidZahn",["Zähne=",z*2,linear?str(" Länge=",l):str(" Wälzkreis r=",r)," spiel",spiel],name);
HelpTxt("CycloidZahnrad",["modul",modul,"z",z," d",d," linear",linear,"center",center,"spiel",spiel,"fn",fn,"kreisDivisor",kreisDivisor,"name",name],help);
}
module Anschluss(h=10,d1=10,d2=15,rad=5,rad2,grad=30,r1,r2,center=true,fn=fn,fn2=36,grad2=0,x0=0,wand,2D=false,name,help){
center=is_bool(center)?center?1:0:center;
rad2=is_undef(rad2)?is_list(rad)?rad[1]:rad:rad2;
rad=is_list(rad)?rad[0]:rad;
r1=is_undef(r1)?d1/2:r1;
r2=is_undef(r2)?d2/2:r2;
l1=is_list(h)?h[0]:h/2;
l2=is_list(h)?h[1]:h/2;
grad2=is_list(grad2)?grad2:[grad2,grad2];
2D=is_parent(needs2D)?true:2D;
$helpM=false;
if (!wand){
if(2D)SBogen(extrude=sign(r2-r1)*(center?center==1?(r1+r2)/2:r2:r1),grad=abs(grad),dist=r2-r1,l1=l1,l2=l2,r1=rad,r2=rad2,center=center,fn=fn2,grad2=grad2,name=name,x0=x0,messpunkt=false);
else
RotEx(fn=fn)
SBogen(extrude=sign(r2-r1)*(center?center==1?(r1+r2)/2:r2:r1),grad=abs(grad),dist=r2-r1,l1=l1,l2=l2,r1=rad,r2=rad2,center=center,fn=fn2,grad2=grad2,name=name,x0=x0,messpunkt=false);
/*if(r1<r2)Tz(center?(l1+l2)/2:l1+l2)RotEx(fn=fn) SBogen(extrude=r2,grad=abs(grad),dist=r2-r1,l1=l1,l2=l2,r1=rad,r2=rad2,center=+1,fn=fn2,grad2=grad2,name=name,x0=x0,messpunkt=false);
else Tz(center?(l1+l2)/2:l1+l2) R(180)RotEx(fn=fn) SBogen(extrude=r2,grad=grad,dist=r2-r1,l1=l2,l2=l1,r1=rad2,r2=rad,center=+0,fn=fn2,grad2=[-grad2[1],-grad2[0]],name=name,x0=x0,messpunkt=false);
*/
} else difference(){
if (wand<0)Anschluss(h=h,r1=r1-wand,r2=r2-wand,rad=rad+(r2>r1?wand:-wand),rad2=rad2+(r2>r1?-wand:wand),grad=grad,center=center,fn=fn,fn2=fn2,grad2=grad2,x0=x0,2D=2D,name=0,help=0);
Tz($preview&&!center&&wand<0?h*-0.005:0) Anschluss(h=wand<0&&$preview?h*1.01:h,r1=r1,r2=r2,rad=rad,rad2=rad2,grad=grad,center=center,fn=fn,fn2=fn2,grad2=grad2,x0=x0,2D=2D,name=name,help=0);
if (wand>0)Tz($preview&&!center?h*-0.005:0) Anschluss(h=wand>0&&$preview?h*1.01:h,r1=r1-wand,r2=r2-wand,rad=rad+(r2>r1?wand:-wand),rad2=rad2+(r2>r1?-wand:wand),grad=grad,center=center,fn=fn,fn2=fn2,grad2=grad2,x0=x0,2D=2D,name=0,help=0);
}
HelpTxt("Anschluss",[
"h",h,
"d1",d1,
"d2",d2,
"rad",rad,
"rad2",rad2,
"grad",grad,
"r1",r1,
"r2",r2,
"center",center,
"fn",fn,
"fn2",fn2,
"grad2",grad2,
"x0",x0,
"wand",wand,
"2D",2D,
"name",name]
,help);
}
//union(){
//r=1;
// r2=1;
// grad=70;
// h=undef;
// mitte=2;
// extrude=+9.34;
// xCenter=-1;
//polygon([for(i=[0:27])vollwelle(fn=5,l=18,grad=grad,h=h,r=r,r2=r2,mitte=mitte,xCenter=xCenter,grad2=50,extrude=extrude)[i]]);
//T(0,0,-0.1)color("green")Vollwelle(fn=5,l=18,grad=grad,h=h,r=r,mitte=mitte,r2=r2,xCenter=xCenter,grad2=+50,extrude=extrude);
//T(0,2.4)color("red")square([8.68,1],center=0);
//*T(extrude-h,1)color("red")square([h,1],center=0);
//*T(5,4)square([r2-sin(90-grad)*r2,1]);
//*T(5+6.5,1)square([r-sin(90-grad)*r,1]);
//
//}
function vollwelle(r=1,r2,grad=+60,grad2=+0,h=0,l,extrude=+5,center=true,xCenter=1,fn=12,x0=0,mitte=0,tMitte,g2End=[1,1])=
let(
fn=is_list(fn)?fn:[fn,fn],
grad=is_list(grad)?grad:[grad,grad],
grad2=is_list(grad2)?[max(grad2[0],-grad[0]),max(grad2[1],-grad[1])]:[max(grad2,-grad[0]),max(grad2,-grad[0])],
sc=1,// scaling r center
r2=is_undef(r2)?r:r2,
//r mittelpunkt verschiebung für tangenten Kontakt
/* tangY=[r*sin(grad[0])-tan(90-grad[0])*(r-cos(grad[0])*r),
r*sin(grad[1])-tan(90-grad[1])*(r-cos(grad[1])*r)],//*/
mitte=max(0,is_undef(tMitte)?mitte:tMitte - tan(grad[0]/2)*r - tan(grad[1]/2)*r),
w=grad[0]-90,//del=echo(w,grad[0]-90),
wOben=(2*grad[1]-180)/2,
hR=r-sin(90-grad[0])*r,
hRO=r-sin(90-grad[1])*r,
hR2=r2-sin(90-grad[0])*r2,
hR2O=r2-sin(90-grad[1])*r2,
h=max(hR+hR2,hRO+hR2O,h),
hDiv=h-(hR+hR2),
hDivOben=h-(hRO+hR2O),
//hDiv=is_undef(h)?0:w>0?h-(sin(w)*r+sin(w)*r2):h-((sin(w)*r+sin(w)*r2))*0,
y=2*cos(w)*r*sc+(hDiv*-tan(w)*2),
yOben=2*cos(wOben)*r*sc+(hDivOben*-tan(wOben)*2),
y2Oben=2*cos(wOben)*r2,
y2=2*cos(w)*r2,
x= sin(w)*r+hDiv*1,
x2= sin(w)*r2 ,
l1=is_undef(l)?y/2+y2/2+sin(grad2[0])*r2+mitte/2:is_list(l)?is_undef(l[0])?y/2+y2/2+sin(grad2[0])*r2+mitte/2:l[0]:l/2,
l2=is_undef(l)?yOben/2+y2/2+sin(grad2[1])*r2+mitte/2:is_list(l)?is_undef(l[1])?yOben/2+y2/2+sin(grad2[1])*r2+mitte/2:l[1]:l/2,
extrude=xCenter==0?extrude-hDiv/2
:xCenter>0?extrude-x-r
:xCenter<-1?xCenter<-2?extrude+x2+cos(grad2[1])*r2
:extrude+x2+cos(grad2[0])*r2
:extrude+x2+r2,
trans=[+0,center?0:l1],// all points translation
g2End=is_list(g2End)?g2End:[g2End,g2End],
yKL1=l2-(yOben/2+y2Oben/2+mitte/2+sin(grad2[1])*r2), // Abstand Kreisende bis l2
yKL0=l1+(-y/2-y2/2-mitte/2-sin(grad2[0])*r2), // Abstand Kreisende bis l1
g2EndX0=grad2[0]!=90? g2End[0]? yKL0*tan(grad2[0]): // End Punkt unten winkel verlängerung
0:
0,
g2EndX1=grad2[1]!=90? g2End[1]? yKL1*tan(grad2[1]): // End Punkt oben winkel verlängerung
0:
0
)
concat(
[[extrude-x2-cos(grad2[1])*r2+g2EndX1,l2]]+[trans]//oben Kreis verl.
, kreis(r=r2,rand=0,rot=-90+grad2[1],center=false,grad=-grad[1]-grad2[1],t=[extrude-x2,yOben/2+y2Oben/2+mitte/2]+trans,fn=fn[0])//oben
, kreis(r=r,r2=r*sc,rand=0,rot=90-grad[1],grad=grad[1],t=[extrude+x,mitte/2]+trans,fn=fn[1],center=false)//mitte oben
, kreis(r=r,r2=r*sc,rand=0,rot=90,grad=grad[0],t=[extrude+x,-mitte/2]+trans,fn=fn[1],center=false)//mitte unten
, kreis(r=r2,rand=0,rot=grad[0]-90,center=false,grad=-grad[0]-grad2[0],t=[extrude-x2,-y/2-y2/2-mitte/2]+trans,fn=fn[0]) //unten
,[[extrude-x2-cos(grad2[0])*r2+g2EndX0,-l1]]+[trans]//unten Kreis verl.
,[[x0,-l1]]+[trans]//unten
,[[x0,l2]]+[trans]//oben
);
module Vollwelle(r=1,r2,grad=+60,grad2=+0,h,l,extrude=+5,center=true,xCenter=0,fn=12,x0=0,mitte=0,tMitte,g2End=[1,1],help,name){
// calc for geometry is done by function -- values here are only for console
fn=is_list(fn)?fn:[fn,fn];
//grad=is_list(grad)?is_undef(h)?echo(str("<h2><font color=red>Vollwelle define h"))[grad[0],grad[0]]:grad:[grad,grad];
grad=is_list(grad)?grad:[grad,grad];
grad2=is_list(grad2)?grad2:[grad2,grad2];
sc=1;// scaling r center
r2=is_undef(r2)?r:r2;
w=(2*grad[0]-180)/2;
wOben=(2*grad[1]-180)/2;
//r mittelpunkt verschiebung für tangenten Kontakt
tangY=[tan(grad[0]/2)*r,tan(grad[1]/2)*r];
/*[r*sin(grad[0])-tan(90-grad[0])*(r-cos(grad[0])*r),
r*sin(grad[1])-tan(90-grad[1])*(r-cos(grad[1])*r)];//*/
mitte=is_undef(tMitte)?mitte:tMitte- tangY[0] -tangY[1];
// echo(w);
// hDiv=is_undef(h)?0:w>0?h-(sin(w)*r+sin(w)*r2):h+(sin(w)*r-sin(w)*r2);
hR=r-sin(90-grad[0])*r;
hR2=r2-sin(90-grad[0])*r2;
hRO=r-sin(90-grad[1])*r;
hR2O=r2-sin(90-grad[1])*r2;
h=is_undef(h)?max(hR+hR2,hRO+hR2O):h;
hDiv=h-(hR+hR2);
y=2*cos(w)*r*sc+(hDiv*-tan(w)*2);
yOben=2*cos(wOben)*r*sc+(hDiv*-tan(wOben)*2);
y2=2*cos(w)*r2;
x= sin(w)*r+hDiv ;
x2= sin(w)*r2 +0;
l1=is_undef(l)?y/2+y2/2+sin(grad2[0])*r2+mitte/2:is_list(l)?is_undef(l[0])?y/2+y2/2+sin(grad2[0])*r2+mitte/2:l[0]:l/2;
l2=is_undef(l)?yOben/2+y2/2+sin(grad2[1])*r2+mitte/2:is_list(l)?is_undef(l[1])?yOben/2+y2/2+sin(grad2[1])*r2+mitte/2:l[1]:l/2;
Echo(str(name," Vollwelle h ist minimal= ",h),color="green",condition=name&&h==(hR+hR2));
Echo(str(name," Vollwelle h zu klein! min=",(hR+hR2)),color="red",condition=h<(hR+hR2));
Echo(str(name," Vollwelle tMitte zu klein! min=",(tangY[0]+tangY[1])),color="red",condition=mitte<0);
Echo("Vollwelle use Number for xCenter",color="red",condition=is_bool(xCenter));
//xCenter=is_bool(xCenter)?0:xCenter;
extrudeUnchanged=extrude;
extrude=xCenter==0?extrude-hDiv/2:xCenter>0?extrude-x-r:xCenter<-1?xCenter<-2?extrude+x2+cos(grad2[1])*r2:extrude+x2+cos(grad2[0])*r2:extrude+x2+r2;
/* replaced with function vollwelle
points=concat(
//[[x0,-y/2-y2/2-sin(grad2[0])*r2-mitte/2+0]],//unten
[[extrude-x2-cos(grad2[0])*r2,-l1]],//unten Kreis verl.
[[x0,-l1]],//unten
//[[x0,y/2+y2/2+sin(grad2[1])*r2+mitte/2]],//oben
[[x0,l2]],//oben
[[extrude-x2-cos(grad2[1])*r2,l2]],//oben Kreis verl.
Kreis(r=r2,rand=0,rot=-90+grad2[1],center=false,grad=-grad[1]-grad2[1],t=[extrude-x2,yOben/2+y2/2+mitte/2],fn=fn[0]),//oben
Kreis(r=r,r2=r*sc,rand=0,rot=90-grad[1],grad=grad[1],t=[extrude+x,mitte/2],fn=fn[1],center=false),//mitte oben
Kreis(r=r,r2=r*sc,rand=0,rot=90,grad=grad[0]*1,t=[extrude+x,-mitte/2],fn=fn[1],center=false),//mitte unten
Kreis(r=r2,rand=0,rot=grad[0]-90,center=false,grad=-grad[0]-grad2[0],t=[extrude-x2,-y/2-y2/2-mitte/2],fn=fn[0]) //unten
);
translate([0,center?0:l1])//(y2+y)/2+sin(grad2[0])*r2+mitte/2])
polygon(points,convexity=5);
*/
polygon(vollwelle(r=r,r2=r2,grad=grad,grad2=grad2,h=h,l=l,extrude=extrudeUnchanged,center=center,xCenter=xCenter,fn=fn,x0=x0,mitte=mitte,tMitte=tMitte,g2End=g2End));
minimum=[extrude-x2-r2*(grad2[0]<0?cos(grad2[0]):1),extrude-x2-r2*(grad2[1]<0?cos(grad2[1]):1)];
maximum=[extrude+x+r,extrude+x+r];
InfoTxt("Vollwelle",[str("min=",grad2[0]==grad2[1]?
grad2[0]<0?extrude-x2-r2*cos(grad2[0]):extrude-x2-r2
:str(extrude-x2-r2*(grad2[0]<0?cos(grad2[0]):1),"/",extrude-x2-r2*(grad2[1]<0?cos(grad2[1]):1)),
"(×2∅=",grad2[0]==grad2[1]?
grad2[0]<0?2*(extrude-x2-r2*cos(grad2[0])):2*(extrude-x2-r2)
:str(2*(extrude-x2-r2*(grad2[0]<0?cos(grad2[0]):1)),"/",2*(extrude-x2-r2*(grad2[1]<0?cos(grad2[1]):1))),
"mm) — max=",extrude+x+r," (×2∅=",(extrude+x+r)*2,"mm)- Y länge=",l1+l2,"(",l1,"/",l2,")",//,y+y2+sin(grad2[0])*r2+sin(grad2[1])*r2+mitte,
"mm Wellenhöhe="),grad2[0]==grad2[1]?maximum[0]-minimum[0]:maximum-minimum],info=name);
HelpTxt("Vollwelle",[
"r",r,
"r2",r2,
"grad",grad,
"grad2",grad2,
"h",h,
"l",l,
"extrude",extrudeUnchanged,
"center",center,
"xCenter",xCenter,
"fn",fn,
"x0",x0,
"mitte",is_undef(tMitte)?mitte:str(mitte,"/*(calc)*/"),
"tMitte",tMitte,
"g2End",g2End,
"name",name]
,help);
}
module SQ(size=[10,10],fn=[10,2],diff=[0.0001,0.0001,0.0001,0.0001],center=true,help){
x=is_list(size)?size[0]:size;
y=is_list(size)?size[1]:size;
fnx=is_list(fn)?fn[0]:fn;
fny=is_list(fn)?fn[1]:fn;
diff=is_list(diff)?diff:[diff,diff,diff,diff];
points=[
for(i=[0:fnx])[-x/2+x/fnx*i,-y/2+i%2*-diff[0]],
for(i=[0:fny])[x/2+i%2*diff[1],-y/2+y/fny*i],
for(i=[0:fnx])[x/2-x/fnx*i,y/2+i%2*diff[2]],
for(i=[0:fny])[-x/2-i%2*diff[3],y/2-y/fny*i],
] ;
// echo(points);
path=[[for(i=[0:len(points)-1])i]];
//echo (path);
translate(center?[0,0]:[x/2,y/2]) polygon(points,path);
if($info) echo(" in twisted extrusions use linear_extrude(segments=20)");
HelpTxt("SQ",["size",[x,y],"fn",[fnx,fny],"diff",diff,"center",center] ,help);
}
/*
union(){ // Gear TEST
z=6;
rot=+0.5;
Cycloid(linear=+2,option=+0);
T(rot*PI*z-PI/4,z/2)rotate(-rot*360-90)Cycloid(option=+0,z=z,l=+0.00,d=1);
}
*/
module Cycloid (modul=1,z=5,fn=36,option=+0,l=0,d=0,linear=false,name,help,zahn){
z=is_undef(zahn)?z:zahn;
r=modul*z/2;
rCav=r;
e=z*2;
linear=is_bool(linear)?linear==true?modul:false:linear;
//r=modul*e;
fn2=fn*abs(e);
r2=r/(e)-l;
r2Cav=r2;
step1=360/fn2;
step2=step1*e;
step2Cav=-step1*(e-1);
// delta=+180;
if(linear){
if(name) echo(str(is_string(name)?"<H3>":"",name," Zahnstangenlänge=",r*PI*2," Zahnabschnitt=",r*PI*2/z));
box=[[PI*2*r,-linear],[0,-linear]];
pointsEpi=[for(i=[0:fn2])[PI*2*r*i/fn2+r2*-sin(i*step2),r2-r2*cos(i*step2)]];
pointsHyp=[for(i=[0:fn2])[PI*2*r*i/fn2+r2Cav*-sin(i*step2),-r2-r2Cav*-cos(i*step2)]];
if(option==1)color("pink")polygon(concat(box,pointsEpi));
if(option==-1)color("cyan")polygon(concat(box,pointsHyp));
points=[for(z=[0:2:e-2])each[for(i=[fn*z:fn*(z+1)])pointsEpi[i]
,for(i=[fn*(z+1):fn*(z+2)])pointsHyp[i]]];
if(!option)color("orange")polygon(concat(box,points));
}
if(!linear){
if(d) InfoTxt("Cycloid",["ZahnkreisRadius",str(r,"mm"),"fn Kreis rot",str(180/e,"°"),"d",d,"fn",max(d*3,fn)],name);
else InfoTxt("Cycloid",["ZahnkreisRadius",str(r,"mm")],name);
pointsEX=[for(i=[0:fn2])
let(iw=i%fn2)
[
(r+r2)*cos(iw*step1)-r2*cos(iw*(step2+step1)),
(r+r2)*sin(iw*step1)-r2*sin(iw*(step2+step1))
]
];
pointsCAV=[for(i=[0:fn2])
let(iw=i%fn2)
[
(rCav-r2Cav)*cos(iw*step1)+r2Cav*cos(iw*step2Cav),
(rCav-r2Cav)*sin(iw*step1)+r2Cav*sin(iw*step2Cav)
]
];
pointsRand=Kreis(r=d/2,rand=0,fn=max(d*3,fn));
if(option==1)color("pink")polygon(
d?concat(pointsRand,pointsEX):pointsEX
,paths=
d?[[for(i=[0:len(pointsRand)-1])i],
[for(i=[len(pointsRand):len(pointsEX)-1+len(pointsRand)])i]]:
[[for(i=[0:len(pointsEX)-1])i]]
,convexity=5
);
if(option==-1)color("cyan")polygon(
d?concat(pointsRand,pointsCAV):pointsCAV
,paths=
d?[[for(i=[0:len(pointsRand)-1])i],
[for(i=[len(pointsRand):len(pointsCAV)-1+len(pointsRand)])i]]:
[[for(i=[0:len(pointsCAV)-1])i]]
,convexity=5);
points=[for(z=[0:2:e-1])each[for(i=[fn*z:fn*(z+1)])pointsEX[i],
for(i=[fn*(z+1):fn*(z+2)])pointsCAV[i]
]
//,pointsEX[+0]
];
//if(!option)color("orange")rotate(180/e-90)polygon(points,convexity=5);
//rot=180+(d>r*2?90/z:-90/z));
if(!option)color("orange")rotate(-180/e)
polygon(d?concat(pointsRand,points):points
,paths=
d?[[for(i=[0:len(pointsRand)-1])i],
[for(i=[len(pointsRand):len(points)-1+len(pointsRand)])i]]:
[[for(i=[0:len(points)-1])i]]
,convexity=5);
}
HelpTxt("Cycloid",["modul",modul,"z",z,"fn",fn,"option",option,"l",l,"d",d,"linear",linear,"name",name],help);
}
module WKreis(e=12,d1=1,d2,grad=180,r,diff,fn=24,r1,r2,name,help){
d1=is_undef(r1)?d1:2*r1;
d2=is_undef(d2)&&is_undef(r2)?d1:is_undef(r2)?d2:2*r2;
r1=d1/2;
r2=d2/2;
winkel=360/(e*2);
grad1=grad+winkel; // konvex
grad2=grad-winkel; // konkav
diff=is_undef(diff)?0:diff;
sek1=sin(grad1/2)*d1;
sek2=sin(grad2/2)*d2;
r=is_undef(r)?Umkreis(e*2,((sek1+sek2)/4)/tan(winkel/2))+(d2>d1?pow(abs(d1/d2-1),+7):0):r; //WIP
diff1=-d1/2*cos(grad1/2)+diff;
diff2=d2/2*cos(grad2/2)-diff;
rEck=Umkreis(e*2,r);
rK1=Kathete(r,sin(grad1/2)*d1/2)+diff1;
rK2=Kathete(r,sin(grad2/2)*d2/2)+diff2;
umfang=PI*r*2;
umfang1=PI*(rK1)*2;
umfang2=PI*(rK2)*2;
umfangEck=e*(d1+d2);
wk=[for(i=[0:e-1])each concat(
kreis(r=-d2/2,rot=90-winkel/2+i*winkel*2,rand=0,grad=-grad2,sek=true,t=RotLang(-winkel/2+i*winkel*2,rK2),fn=fn)
, kreis(r=d1/2,rot=90+winkel/2+i*winkel*2,rand=0,grad=grad1,sek=true,t=RotLang(winkel/2+i*winkel*2,rK1),fn=fn)
)];
rotate(winkel/2-90) polygon(wk,convexity=5);
InfoTxt("Wkreis",["länge",str(umfangEck,"mm - Umfang(r=",r,")=",umfang,"mm Grad=",grad1,"°/",grad2,"°"),"\n\tAußen r",str(rK1+d1/2," OD=",2*rK1+d1," — Umfang=",umfang1,"mm Kreismitte=",rK1),"\n\tInnen r",str(rK2-d2/2," ID =",2*rK2-d2," — Umfang=",umfang2,"mm Kreismitte=",rK2)],name);
HelpTxt("Wkreis",[
"e",e,
"d1",d1,
"d2",d2,
"grad",grad,
"r",r,
"diff",diff,
"fn",fn,
"r1",r1,
"r2",r2,
"name",name],
help);
}
module Pin(l=10,d=5,cut=true,mitte=true,grad=60,lippe=0.4,spiel=.1,name,help){
$info=false;
rdiff=lippe+spiel;
cut=is_list(cut)?cut:[cut,cut];
pol=[is_bool(cut[0])?round(d):cut[0],is_bool(cut[1])?round(d):cut[1]];
l=is_num(l)?[l/2,l/2]:l;
cuth=[min(d,l[0]*1.8),min(d,l[1]*1.8)];
hkomplett=l[0]+l[1]+2*tan(grad)*rdiff;
mirror([0,0,1])difference(){
union(){
cylinder(l[0],d=d);
Tz(l[0])Kegel(d+rdiff*2,d,grad=grad);
Tz(l[0])R(180)Kegel(d+rdiff*2,d-1,grad=40);
if(mitte) Kegel(d+rdiff*2,d-1,grad=45);
}
if(cut[0]) Tz(l[0]+0.2)Polar(pol[0],d-1)LinEx(cuth[0],min(cuth[0]/2.5,+1.0),0,grad=45,$d=d,center=true)Tri(h=d,top=+1,center=1,grad=45,r=0.3,fn=24);
linear_extrude(200,center=true,convexity=3)Kreis(r=d,rand=d/2-rdiff+spiel);
}
difference(){
union(){
cylinder(l[1],d=d);
Tz(l[1])Kegel(d+rdiff*2,d,grad=grad);
Tz(l[1])R(180)Kegel(d+rdiff*2,d-1,grad=40);
if(mitte) Kegel(d+rdiff*2,d-1,grad=45);
}
if(cut[1]) Tz(l[1]+0.2)Polar(pol[1],d-1)LinEx(cuth[1],min(cuth[1]/2.5,1),0,grad=45,$d=d,center=true)Tri(h=d,top=+1,center=1,grad=45,r=0.3,fn=24);
linear_extrude(200,center=true,convexity=3)Kreis(r=d,rand=d/2-rdiff+spiel);
}
//if(achse)cylinder(h=achse,d=d+rdiff*2,center=true);
if(name)echo(str(is_string(name)?"<H3>":"",name," Pin l=",l[0]+l[1]," reale höhe=",hkomplett,"mm halb=",l,"/",[l[0]+tan(grad)*rdiff,l[1]+tan(grad)*rdiff]," plus= ",2*tan(grad)*rdiff,"/",tan(grad)*rdiff));
HelpTxt("Pin",["l",l,"d",d,"cut",cut,"mitte",mitte,"grad",grad,"lippe",lippe,"spiel",spiel,"name",name],help);
}
// WIP!!
module Kextrude (r1=10,r2,grad=60,rad=1,breit=5,center=1,fn=fn,help)rotate(center?-grad/2:0){
$fn=fn;
r2=is_undef(r2)?r1+breit:r2;
breit=r2-r1;
rad=is_list(rad)?rad:[rad,rad,rad,rad];
if (rad[0]>breit/2)Echo(color="red","Kextrude Eckradius zu groß für Breite!");
MO(!$children);
rotate_extrude(angle=grad)T(r1)mirror([1,0])children();
union(){
$helpM=0;
$info=0;
rotate_extrude(angle=grad)T(r2)children();
T(r1+rad[2])rotate(180)rotate_extrude(angle=90)T(rad[2])children();
T(r2-rad[3])rotate_extrude(angle=-90)T(rad[3])children();
T(r2-rad[3],-rad[2])R(90,0,-90)linear_extrude (r2-r1-rad[2]-rad[3])children();
rotate(grad){
T(r1+rad[0])rotate(90)rotate_extrude(angle=90)T(rad[0])children();
T(r2-rad[1])rotate(90)rotate_extrude(angle=-90)T(rad[1])children();
T(r1+rad[0],+rad[0])R(90,0,90)linear_extrude (r2-r1-rad[0]-rad[1])children();
}
}
HelpTxt("Kextrude",["r1",r1,"r2",r2,"grad",grad,"rad",rad,"breit",breit,"center",center,"fn",fn],help);
}
module Klammer(l=10,grad=250,d=4,rad2=5,offen=+25,breite=2.5,fn=fn,help){
$x=breite;
w2=offen/2-90+grad/2;
l=is_list(l)?l:[l,l];
if($children){
RotEx(grad,center=true,fn=fn)T(d/2)children(); //centerring
union(){ //arme
$helpM=0;
$info=0;
MKlon(mz=0,my=1){
rotate((grad-180.01)/2)T(0,rad2+breite+d/2)rotate(270-w2){
RotEx(w2,fn=fn/2)T(rad2+breite)mirror([1,0])children();//Bogen
T(rad2)union(){
R(90)linear_extrude(height=$idx?l[0]:l[1])T(breite)mirror([1,0])children(); // Arm grade
T(+breite/2,$idx?-l[0]:-l[1])rotate(180) RotEx(cut=true,grad=180,fn=fn/4)T(-breite/2)children(); //Endstück
}
}
}
}
}else union(){
$info=0;
$helpM=0;
Kreis(grad=grad,center=true,r=d/2,rand=-breite,fn=fn);
MKlon(mz=0,my=1){
rotate((grad-180.01)/2)T(0,rad2+breite+d/2)rotate(180){
Kreis(grad=w2,fn=fn/2,center=false,r=rad2,rot=-90,rand=-breite);
rotate(-w2)T(0,rad2){ square([$idx?l[0]:l[1],breite]);
T($idx?l[0]:l[1],breite/2)Kreis(grad=180,fn=fn/4,center=false,rot=-90,r=breite/2,rand=0);
}
}
}
}
HelpTxt("Klammer",[
"l",l,
"grad",grad,
"d",d,
"rad2",rad2,
"offen",offen,
"breite",breite,
"fn",fn]
,help);
}
module Welle(e=3,grad=200,r=5,r2,center=3,rand=2,fn=fn,overlap=0,name,help){
r2=is_undef(r2)?r:r2;
$x=rand;
w=(grad-180)/2;
y=2*cos(w)*r;
y2=2*cos(w)*abs(r2);
T(0,center?center>1?center>2?y2/2:-y/2:0:y2)Linear(es=y+y2,e=e,x=0,y=1,center=center)union(){
if(!$children){
T(sin(w)*r,y/2) Kreis(grad=grad+overlap,r=r,fn=fn,rand=rand,rcenter=true,sek=true);
T(-sin(w)*r2,-y2/2) Kreis(grad=grad+overlap,fn=fn,r=-r2,rand=rand,rcenter=true,sek=true);
}
else {
T(sin(w)*r,y/2) RotEx(grad=grad+overlap,fn=fn,center=true)T(r)children();
union(){
$info=0;
$helpM=0;
T(-sin(w)*r2,-y2/2)RotEx(grad=grad+overlap,fn=fn,center=true)T(-r2)children();
}
}
}
InfoTxt("Welle",["Wellenenhöhe r/r2=",str(r+sin(w)*r,"/",-r2-sin(w)*r2),"Abstand r/r2=",str(y,"/",y2),"Länge=",e*(y+y2)],name);
HelpTxt("Welle",[
"e",e,"
grad",grad,"
r",r,"
r2",r2,"
center",center,"
rand",rand,"
fn",fn,"
overlap",overlap,"
name",name]
,help);
}
module Pille(
l=10,
d,//+5,
rad,
rad2,
r,
center=true,
fn=fn,
fn2=fn/4,
loch=false,
grad=360,
2D=false,
name,
help
){
2D=is_parent(needs2D)&&!$children?2D?b(2D,false):
1:
b(2D,false);
fn2=is_list(fn2)?fn2:[fn2,fn2];
r=is_undef(r)?is_undef(d)?l/2:d/2:r;
rad=is_undef(rad)?2*r<l?r*[1,1]:l/2*[1,1]:is_list(rad)?rad*sign(r):[rad,rad?rad:undef]*sign(r);
rad2=is_undef(rad2)?is_num(rad[1])?rad[1]:
r<l?r:
l-rad[0]:
rad2*sign(r);
d=is_undef(r)?abs(d):abs(r*2);
deltaRx=max(0,rad[0]-d/2);
deltaRy=Kathete(rad[0],deltaRx);
ausgleich=rad[0]-deltaRy;
rgrad=asin(deltaRy/rad[0]);
deltaRx2=max(0,rad2-d/2);
deltaRy2=Kathete(rad2,deltaRx2);
ausgleich2=rad2-deltaRy2;
grad2=asin(deltaRy2/rad2);
if(l+ausgleich+ausgleich2-rad[0]-rad2<0) echo(str("<font color=red><b>Pille zu kurz! ",l-rad[0]+ausgleich-rad2+ausgleich2));
points=concat([
if(!loch)[0,0],
if(!loch)[0,l]],
rad2==0?[[d/2,l]]:Kreis(r=rad2,rand=0,grad=grad2,t=[d/2-rad2,l-rad2+ausgleich2],fn=fn2[1],center=false,rot=90-grad2),
rad[0]==0?[[d/2,0]]:Kreis(r=rad[0],rand=0,grad=rgrad,t=[d/2-rad[0],rad[0]-ausgleich],fn=fn2[0],center=false,rot=90)
);
if(!2D)if(rgrad==90&&grad2==90)Tz(center?-l/2:0)RotEx(grad=grad,fn=fn)polygon(points);
else Tz(center?-l/2:0)RotEx(grad=grad,fn=fn)polygon(clampToX0(points));
if(2D)T(0,center?-l/2:0)polygon(points);
InfoTxt("Pille",["Länge",l,"Rundung",str(rad[0],"/",rad2,str(rad[0]>d/2?" Spitz":rad[0]==d/2?" Rund":" Flach","/",rad2>d/2?"Spitz":rad2==d/2?"Rund":"Flach")),"Durchmesser",d,"Radius",d/2,"Grad",str(grad,"°")],name);
HelpTxt("Pille",["l",l,"d",d,"fn",fn,"fn2",fn2,"center",center,"name",name,"rad",rad,"rad2",rad2,"loch",loch,"grad",grad,"2D",2D,],help);
}
module Row(e=15,dist=2,step=.1,d=+1,cut=.25,dir=+1,center=true,name,help){
/* Row will recursivly create a Row of objects with changing size (d+e*step)
/ by keeping the gap equal
*/
$d=d;
$r=d/2;
$info=is_undef(name)?is_undef($info)?true:$info:name;
$helpM=is_undef(help)?is_undef($helpM)?false:$helpM:help;
$idx=e-1;
cut=is_num(cut)?cut:cut==true?0.02:false;
if(e>1)T(d+dist+step/2)
if($children)Row(e=e-1,d=d+step,dist=dist,step=step,cut=cut,dir=dir<2?sign(dir*-1):dir,center=center,name=$info,help=$helpM)children();
else Row(e=e-1,d=d+step,dist=dist,step=step,cut=cut,dir=dir<2?sign(dir*-1):dir,center=center,name=$info,help=$helpM);
if(!$children)cylinder(100,d=$d,$fn=24,center=center);
if($children)children();
if(cut) T(-cut/2,dir>0?dir>1?0:0:-viewportSize,center?-viewportSize/2:0)color(alpha=0.0)cube([cut,viewportSize,viewportSize]);
if(e==1)InfoTxt("Row",["last d",str($d,cut?str(" Cut is ",cut):"")],name);
HelpTxt("Row",[
"e",e,"
dist",dist,"
step",step,"
d",d,"
cut",cut,"
dir",dir,"
center",center,"
name",$info],
$helpM);
if($helpM&&!$idx)echo("Row will recursivly create a Row of objects with changing size $d=(d+e*step) by keeping the gap (dist) equal");
}
module PCBcase(
pcb=[20,40,1],/*[breite×länge×höhe]*/
h=20,/*höhe*/
wand,/*Wandstärke */
r2=3,/*Innenradius*/
rC=2,/*Eckradius*/
rS=2,/*Kantenradius*/
spiel=0.2,
kabel,/*Kabelloch[b,h]*/
kanal,
kpos=[0,0],
tasche=5,
deckel=false,
dummy=1,
name,
clip=true,
help
){
deckel=is_bool(deckel)?b(deckel):deckel;
$info=false;
rS=abs(rS);
rC=max(rS,abs(rC));
wand=max(rC-rC/sqrt(2)+rS/sqrt(2),rS,is_undef(wand)?0:wand-spiel);
kabel=is_num(kabel)?[kabel,kabel/1.618]:kabel;
spiel=abs(spiel);
$helpM=0;
size=[pcb[0]+(wand+spiel)*2,pcb[1]+(wand+spiel)*2,h];
kabelrundung=1; // rundungsradius Kabellochecken
// %translate([0,0,h/2])cube(size,true);
//if(name&&!$children)echo(str("<H2>Case size=",size));
if(!deckel)InfoTxt("Case",[$children?"Inside":"size",$children?pcb+[0,0,h-tasche-wand]:size,"pcb headroom",str(h-tasche-wand,"mm")],name);
else InfoTxt("Case",["Deckeldicke",str(tasche-pcb[2]-spiel,"mm")],name);
assert(is_list(pcb),"No pcb size");
if(deckel&&!(deckel<0)){ // for render
difference(){
linear_extrude(tasche-pcb[2]-spiel,convexity=5)offset(.5,$fn=24)square([pcb[0]-1,pcb[1]-1],true);
translate([0,0,+1.5])linear_extrude(50,convexity=5)square([pcb[0]-2,pcb[1]-2],true);
}
if(clip)Tz((tasche-pcb[2])/2){//clip positiv
MKlon(pcb[0]/2)R(90)LinEx(pcb.y*.75-spiel*2,center=true,end=true)Vollwelle(r=.5-spiel,extrude=0,xCenter=-1,fn=4,x0=-.1);
MKlon(tx=0,ty=pcb[1]/2)R(90,0,90)LinEx(pcb.x*.75-spiel*2,center=true,end=true)Vollwelle(r=.5-spiel,extrude=0,xCenter=-1,fn=4,x0=-.1);
}
if(kanal)intersection(){
if($children)children();
else minkowski(){
translate([0,0,h/2])cube([pcb[0]-rS*2-(rC-rS)*2+wand*2+spiel*2,pcb[1]-rS*2-(rC-rS)*2+wand*2+spiel*2,h-rS*2],true);
sphere(rS,$fn=36);
cylinder(minVal,r=rC-rS,$fn=72);
}
union(){
translate([pcb[0]/2,kpos[0]-kanal/2+spiel,0])
cube([wand+150,kanal-spiel*2,tasche-spiel-(deckel<2?kpos[1]<0?-kpos[1]:0:pcb[2])],center=false);
}
}
}
//PCB dummy
if(dummy&&$preview)color([0.6,0.6,0.2,0.5])translate([0,0,tasche-pcb[2]])linear_extrude(pcb[2],convexity=5)square([pcb[0],pcb[1]],true);
if(!deckel||($preview&&deckel!=3)||deckel==2||deckel<0)color(alpha=deckel==1?0.5:1){
difference(){
if(!$children) minkowski(){
translate([0,0,h/2])cube([pcb[0]-rS*2-(rC-rS)*2+wand*2+spiel*2,pcb[1]-rS*2-(rC-rS)*2+wand*2+spiel*2,h-rS*2],true);
sphere(rS,$fn=36);
cylinder(minVal,r=rC-rS,$fn=72);
}
else children();
translate([0,0,h/2-wand-2.5])minkowski(){
cube([pcb[0]-r2*2-1,pcb[1]-r2*2-1,h-r2*2+5],true);
sphere(r2,$fn=36);
}
if(kabel)color([0.7,0.7,0.8])translate([pcb[0]/2-.5-r2,kpos[0],kpos[1]+tasche+kabel[1]/2])rotate([90,0,90])linear_extrude(500,convexity=5)offset(kabelrundung,$fn=24)square(kabel-[kabelrundung*2,kabelrundung*2],true); //Kabelloch
if(kanal)translate([50,kpos[0],0])cube([100,kanal,tasche*2],true);
linear_extrude(tasche*2,center=true,convexity=5)offset(.5+spiel,$fn=24)square([pcb[0]-1,pcb[1]-1],true);
if($children)color([.5,0.4,0.5])rotate([180])cylinder(100,d=500,$fn=6);
if(clip)Tz((tasche-pcb[2])/2){ //clip negativ
MKlon(pcb.x/2+spiel)R(90)LinEx(pcb.y*.75,center=true,end=true)Vollwelle(r=.5,extrude=0,xCenter=-1,fn=4,x0=-1);
MKlon(tx=0,ty=pcb.y/2+spiel)R(90,0,90)LinEx(pcb.x*.75,center=true,end=true)Vollwelle(r=.5,extrude=0,xCenter=-1,fn=4,x0=-1);
}
}
}
if(!deckel&&$preview)color(alpha=0.5){ // only view deckel in preview if deckel=0
difference(){
linear_extrude(tasche-pcb[2]-spiel,convexity=5)offset(.5,$fn=24)square([pcb[0]-1,pcb[1]-1],true);
translate([0,0,+1.5])linear_extrude(50,convexity=5)square([pcb[0]-2,pcb[1]-2],true);
}
if(clip) Tz((tasche-pcb[2])/2){//clip positiv
MKlon(pcb[0]/2)R(90)LinEx(pcb.y*.75-spiel*2,center=true,end=true)Vollwelle(r=.5-spiel,extrude=0,xCenter=-1,fn=4,x0=-.1);
//Pille(pcb[1]*.75-spiel*2,d=1-spiel*2,fn=12,fn2=12,name=0);
MKlon(tx=0,ty=pcb[1]/2)R(90,0,90)LinEx(pcb.x*.75-spiel*2,center=true,end=true)Vollwelle(r=.5-spiel,extrude=0,xCenter=-1,fn=4,x0=-.1);
//Pille(pcb[0]*.75-spiel*2,d=1-spiel*2,fn=12,fn2=12,name=0);
}
if(kanal)intersection(){
if($children)children();
else minkowski(){
translate([0,0,h/2])cube([pcb[0]-rS*2-(rC-rS)*2+wand*2+spiel*2,pcb[1]-rS*2-(rC-rS)*2+wand*2+spiel*2,h-rS*2],true);
sphere(rS,$fn=36);
cylinder(minVal,r=rC-rS,$fn=72);
}
union(){
translate([pcb[0]/2,kpos[0]-kanal/2+spiel,0])
cube([wand+150,kanal-spiel*2,tasche-spiel-(deckel<2?kpos[1]<0?-kpos[1]:0:pcb[2])],center=false);
}
}
}
HelpTxt("PCBcase",[
"pcb",str(pcb,"/*Platine[Breite×Länge×Höhe]*/"),"
h",str(h,"/*Höhe*/"),"
wand",str(wand,"/*Wandstärke */"),"
r2",str(r2,"/*Innenradius*/"),"
rC",str(rC,"/*Eckradius*/"),"
rS",str(rS,"/*Kantenradius*/"),"
spiel",str(spiel,"/*Deckelspiel*/"),"
kabel",str(kabel,"/*Kabelloch[b,h]*/"),"
kanal",str(kanal,"/*Kabelkanal breite*/"),"
kpos",str(kpos,"/*Kabelposition[y,z]*/"),"
tasche",str(tasche,"/*Taschen h für Platine*/"),"
deckel",str(deckel,"/*render Deckel option 0-2*/"),"
dummy",str(dummy,"/*show PCB */"),"
name",name,"
clip",clip
],help);
}
module Seg7(n=8,h=10,b=1,spiel=n(1),l,center=false,rund,name,help){
spiel=spiel/sqrt(2);
l=is_undef(h)?l:h/2-b/2-spiel*2;
y=l/2;
x=b/2;
y2=y-x;
/*
num=[for(n)each
if(n==0)[1,1,1,1,1,0,1]
else if(n==1) [0,1,0,1,0,0,0]
else if(n==2) [1,0,0,1,1,1,1]
else if(n==3) [0,1,0,1,1,1,1]
else if(n==4) [0,1,1,1,0,1,0]
else if(n==5) [0,1,1,0,1,1,1]
else if(n==6) [1,1,1,0,1,1,1]
else if(n==7) [0,1,0,1,0,0,1]
else if(n==8) [1,1,1,1,1,1,1]
else if(n==9) [0,1,1,1,1,1,1]
else if(is_list(n))n
];
*/
codetable=[
[1,1,1,1,1,0,1]
,[0,1,0,1,0,0,0]
,[1,0,0,1,1,1,1]
,[0,1,0,1,1,1,1]
,[0,1,1,1,0,1,0]
,[0,1,1,0,1,1,1]
,[1,1,1,0,1,1,1]
,[0,1,0,1,0,0,1]
,[1,1,1,1,1,1,1]
,[0,1,1,1,1,1,1]
];
num=is_list(n)?n:codetable[n];
points=[[0,y],[x,y2],[x,-y2],[0,-y],[-x,-y2],[-x,y2]];
T(center?0:l/2+b/2+spiel,center?0:l+b/2+spiel*2){
Grid(es=l+spiel*2,name=0)if(num[$idx[0]+$idx[1]*2])Rund(is_undef(rund)?0:rund?rund:b/2-minVal)polygon(points);
Grid(es=l+spiel*2,e=[1,3,1],name=0)rotate(90)if(num[4+$idx[1]])Rund(is_undef(rund)?0:rund?rund:b/2-minVal)polygon(points);
}
if(name)echo(str(is_string(name)?"<H3>":"",name," Seg7 Höhe=",l*2+b+spiel*4,"mm Breite=",l+b+spiel*2,"mm"));
HelpTxt("Seg7",["n",n,"h",h,"b",b,"spiel",spiel*sqrt(2),"l",l,"center",center,"rund",rund,",name",name],help);
}
module Zylinder(h=20,r=10,d,fn,fnh,grad=360,grad2=89,f=10,f2=5,f3=0,a=.5,a3=0,fz=0,az=0,deltaFz=0,deltaF=0,deltaF2=0,deltaF3=0,twist=0,winkelF3=0,scale=+1,sphere=0,lz,altFaces=1,center=false,lambda,name,help){
a=is_undef(a)?0:a;
r=is_undef(d)?is_undef(r)?0:
r:
d/2;
lambda=is_list(lambda)?lambda:[lambda,lambda];
f=is_undef(lambda[0])?is_undef(f)?0:
f:
round(PI*2*abs(r)/lambda[0]);
f2=is_undef(lambda[1])?is_undef(f2)?0:
f2:
round(abs(h)/lambda[1]*2)/2;
fn=max(is_undef(fn)?f*2:fn,3);
fnh=max(is_undef(fnh)?f2*2:fnh,1);
stepRot=grad/fn;
stepH=h/fnh;
InfoTxt("Zylinder",["f",f,"f2",f2,"a",a,"lamda f",(2*PI*r)/f,"λ-f2",h/f2,"λ-f3",(2*PI*r)/f3,"λ-fz",h/fz,"r",str(r+a+a3+az,"/",r-a-a3-az),"d",str((r+a+a3+az)*2,"/",(r-a-a3-az)*2)],name);
points=[for(z=[0:fnh],rot=[0:fn])RotLang(
rot=rot*stepRot+twist*z/fnh+winkelF3*sin(rot*stepRot*f3+deltaF3),
l=(1+(scale-1)*z/fnh)*(a*cos(rot*stepRot*f+deltaF)*cos(z*f2*360/fnh+deltaF2)+az*sin(z*fz*360/fnh+deltaFz)),
lz=lz,
z=sphere?undef:z*stepH,
e=z*grad2/fnh
)+
RotLang(
rot=rot*stepRot+twist*z/fnh,
l=(1+(scale-1)*z/fnh)*(r+a3*cos(rot*stepRot*f3)),
lz=h,
z=sphere?undef:0,//z*stepH,
e=z*grad2/fnh
)
];
//echo(points);
faces=[
if(altFaces==0)each[for(i=[-1:len(points)-fn-2])[i,i+1,i+2+fn,i+fn+1]],//0
if(altFaces==1)each[for(i=[0:1:len(points)-fn-3])each[ //1
if(i%2)[i,i+fn+2,i+fn+1]else [i,i+1,i+fn+1] ,
if(i%2)[i+0,i+1,i+fn+2] else [i+1,i+fn+2,i+fn+1] ,
//if(i<len(points)-fn-4)[i+1,i+fn+3,i+fn+2],
//if(i<len(points)-fn-4)[i+1,i+2,i+fn+3]
]],
if(altFaces==2)each[for(j=[0:fnh-1])for(i=[0:fn+0])[j*(fn+1)+i,j*(fn+1)+i+1,(j+1)*(fn+1)+i+1,(j+1)*(fn+1)+i]],// fn fnh 2
if(altFaces==3)each[for(i=[0:len(points)-fn-3])each[[i,i+1,i+fn+1],[i+1+fn,i+1,i+fn+2]]],//3
if(altFaces==4)each[for(i=[-1:len(points)-fn-1])[i+fn-1,i,i+fn,i+fn+0]],// nur für 360grad 4
if(altFaces==5)each[for(i=[0:1:len(points)-fn-1])each[// nur für 360grad 5
[i,i+fn+0,i+fn-1], [i,i+1,i+fn+0,i+fn-1] ,
//[i+0,i+1,i+fn+1], [i+1,i+fn+1,i+fn+0]
]],
];
faces2=[[for(i=[fn+0:-1:+0])i],[for(i=[len(points)-fn-1:len(points)-1])i]];//top bottom
translate([0,0,center?-h/2:0])polyhedron(points,concat(faces2,faces),convexity=15);
HelpTxt("Zylinder",["h",h,"r",r,"d",d,"fn",fn,"fnh",fnh,"grad",grad,"grad2",grad2,"f",f,"f2",f2,"f3",f3,"a",a,"a3",a3,"fz",fz,"az",az,"deltaFz",deltaFz,"deltaF",deltaF,"deltaF2",deltaF2,"deltaF3",deltaF3,"twist",twist,"winkelF3",winkelF3,"scale",scale,"sphere",sphere,"lz",lz,"altFaces",altFaces,"center",center,"lambda",lambda,"name",name],help);
}
module Ccube(size=20,c=2,c2,center=true,sphere=false,grad=0,help){
c2=is_undef(c2)?0.5773*c:c2;//Eulerkonst?
s=is_list(size)?size:[size,size,size];
scaleS=max(s[0]-c,s[1]-c,s[2]-c);
//sc=[Hypotenuse(s[0],s[2])-c,Hypotenuse(s[0],s[0])-c,Hypotenuse(s[2],s[0])-c];
sc1=[Hypotenuse(s[0]-c,s[0]-c)/2+Hypotenuse(s[1]-c,s[1]-c)/2,Hypotenuse(s[0]-c,s[0]-c)/2+Hypotenuse(s[1]-c,s[1]-c)/2,5000];
sc2=[Hypotenuse(s[2]-c,s[2]-c)/2+Hypotenuse(s[0]-c,s[0]-c)/2,5000,Hypotenuse(s[0]-c,s[0]-c)/2+Hypotenuse(s[2]-c,s[2]-c)/2];
sc3=[5000,Hypotenuse(s[2]-c,s[2]-c)/2+Hypotenuse(s[1]-c,s[1]-c)/2,Hypotenuse(s[1]-c,s[1]-c)/2+Hypotenuse(s[2]-c,s[2]-c)/2];
sce=[2*norm(s-[c,c,c])-c2,1*norm(s-[c,c,c])-c2,2*norm(s-[c,c,c])-c2
];
translate(center?[0,0,0]:s/2)intersection(){
cube(s,center=true);
rotate([0,0,45])cube(sc1,center=true);
rotate([0,45,0])cube(sc2,center=true);
rotate([45,0,0])cube(sc3,center=true);
Color()rotate([0,0,45])R(grad+90-54.74)cube(sce,center=true);
Color()rotate([0,0,-45])R(grad+90-54.74)cube(sce,center=true);
Color()rotate([0,0,135])R(grad+90-54.74)cube(sce,center=true);
Color()rotate([0,0,-135])R(grad+90-54.74)cube(sce,center=true);
if(sphere)Color(0.1) scale([1/scaleS*s[0],1/scaleS*s[1],1/scaleS*s[2]])sphere(norm(s/2)-c-sphere);
}
HelpTxt("Ccube",[
"size",size,
"c",c,
"c2",c2,
"center",center,
"sphere",sphere,
"grad",grad],help);
}
module Flower(e=8,n=15,r=10,r2=0,min=5,fn=720,name,help){
points=[for(f=[+0:fn])let(i=f*360/fn)RotLang(i,r2+max(min-r2,(r-r2)*pow(abs(sin(e*.5*i)),2/n)))];
polygon(points,convexity=5);
HelpTxt("Flower",["e",e,"n",n,"r",r,"r2",r2,"min",min,"fn",fn,"name",name],help);
}
module Superellipse(n=4,r=10,n2,r2,n3,n31,n32,r3,fn=fn,fnz,name,help){
r2=is_undef(r2)?is_list(r)?r.y:
r:
r2;
r3=is_num(r.z)?r.z:r3;
r=is_list(r)?r.x:r;
n11=is_list(n)?n[0]:n;
n12=is_list(n)?n[1]:n;
n13=is_list(n)?n[2]:n;
n14=is_list(n)?n[3]:n;
n2=is_undef(n2)?n:n2;
n21=is_list(n2)?n2[0]:n2;
n22=is_list(n2)?n2[1]:n2;
n23=is_list(n2)?n2[2]:n2;
n24=is_list(n2)?n2[3]:n2;
//n3i=is_undef(n3)?is_list(n)?n[0]:n:n3;
n3=is_undef(n3)?is_list(n)?[n[0],n[0]]:[n,n]:is_list(n3)?n3:[n3,n3];
n31=is_undef(n31)?n3:is_list(n31)?n31:[n31,n31];
n32=is_undef(n32)?n3:is_list(n32)?n32:[n32,n32];
fnz=is_undef(fnz)?fn:fnz;
InfoTxt("Superellipse",["n",str(n,is_undef(r3)?" is 2D":" is elipsoid 3D")],name);
if(is_undef(r3))
polygon([for(f=[0:fn])let(i=f%fn*360/fn)each[
if(i<=90)[r*pow(sin(i),2/n11),r2*pow(cos(i),2/n21)],
if(i>90&&i<=180)[r*pow(abs(sin(i)),2/n12),-r2*pow(abs(cos(i)),2/n22)],
if(i>180&&i<=270)[-r*pow(abs(sin(i)),2/n13),-r2*pow(abs(cos(i)),2/n23)],
if(i>270&&i)[-r*pow(abs(sin(i)),2/n14),r2*pow(abs(cos(i)),2/n24)],
]
]);
else{
points=[for(fz=[0:fnz],f=[0:fn])
let(i=f%fn*360/fn,j=fz*180/fnz)
each[
if(i<=90&&j<=90) [r*pow(sin(i),2/n11)*pow(sin(j),2/n31[1]),r2*pow(cos(i),2/n21)*pow(sin(j),2/n32[1]),r3*pow(cos(j),2/n3[1])],
if(i>90&&i<=180&&j<=90) [r*pow(abs(sin(i)),2/n12)*pow(sin(j),2/n31[1]),-r2*pow(abs(cos(i)),2/n22)*pow(sin(j),2/n32[1]),r3*pow(cos(j),2/n3[1])],
if(i>180&&i<=270&&j<=90)[-r*pow(abs(sin(i)),2/n13)*pow(sin(j),2/n31[1]),-r2*pow(abs(cos(i)),2/n23)*pow(sin(j),2/n32[1]),r3*pow(cos(j),2/n3[1])],
if(i>270&&i&&j<=90) [-r*pow(abs(sin(i)),2/n14)*pow(sin(j),2/n31[1]),r2*pow(abs(cos(i)),2/n24)*pow(sin(j),2/n32[1]),r3*pow(cos(j),2/n3[1])],
if(i<=90&&j>90) [r*pow(sin(i),2/n11)*pow(sin(j),2/n31[0]),r2*pow(cos(i),2/n21)*pow(sin(j),2/n32[0]),-r3*pow(abs(cos(j)),2/n3[0])],
if(i>90&&i<=180&&j>90) [r*pow(abs(sin(i)),2/n12)*pow(sin(j),2/n31[0]),-r2*pow(abs(cos(i)),2/n22)*pow(sin(j),2/n32[0]),-r3*pow(abs(cos(j)),2/n3[0])],
if(i>180&&i<=270&&j>90) [-r*pow(abs(sin(i)),2/n13)*pow(sin(j),2/n31[0]),-r2*pow(abs(cos(i)),2/n23)*pow(sin(j),2/n32[0]),-r3*pow(abs(cos(j)),2/n3[0])],
if(i>270&&i&&j>90) [-r*pow(abs(sin(i)),2/n14)*pow(sin(j),2/n31[0]),r2*pow(abs(cos(i)),2/n24)*pow(sin(j),2/n32[0]),-r3*pow(abs(cos(j)),2/n3[0])],
]
];
faces=[for(i=[0:len(points)-fn -3])[i+1,i,i+fn+1,i+2+fn]];
//faces2=[[for(i=[0:fn-1])i],[for(i=[len(points)-fn:len(points)-1])i]];
polyhedron(points,faces,convexity=5);
}
HelpTxt("Superellipse",["n",n,"r",r,"n2",n2,"r2",r2,"n3",n3,"n31",n31,"n32",n32,"r3",r3,"fn",fn,"fnz",fnz,"name",name],help);
}
module WaveEx(grad=0,h=50,r=5,ry,f=0,fy,a=1,ay,fv=0,fvy,tf=0,trx=20,try,tfy=0,tfv=0,tfvy=0,ta=1,tay,fn=fn,fn2=fn,rot=0,scale=1,scaley,close=true,p=0,name,help){
ay=is_undef(ay)?a:ay;
fy=is_undef(fy)?f:fy;
ry=is_undef(ry)?r:ry;
scaley=is_undef(scaley)?scale:scaley;
fvy=is_undef(fvy)?fv:fvy;
try=is_undef(try)?trx:try;
tay=is_undef(tay)?ta:tay;
close=grad>=360?p?true:false:close;
twist=0;
rotate=rot;
pointsLin=!grad?[for(i=[0:fn],j=[0:fn2])concat( kreis(rot=rotate+twist/fn*i,fn=fn2,rand=0,r=(1+(scale-1)/fn*i)*(r+sin(i*f*360/fn+fv)*a),r2=(1+(scaley-1)/fn*i)*(ry+sin(i*fy*360/fn+fvy)*ay),t=[trx+ta*sin(i*tf*360/fn+tfv),try+tay*cos(i*tfy*360/fn+tfvy)])[j],[i*h/fn])]:0;
function RotEx(rot=grad,punkte=Kreis(rot=rotate+twist/fn,fn=fn2,rand=0,r=(1+(scale-1)/fn)*(r+sin(0*f*360/fn+fv)*a),r2=(1+(scaley-1)/fn)*(ry+sin(0*fy*360/fn+fvy)*ay),t=[0,0]),verschieb=trx,verschiebY=try,p=-p,detail=fn*grad/360)=[for(rotation=[detail:-1:0])for(i=[0:len(punkte)-1])
concat(
(punkte[i][0]+cos(f*rotation*grad/detail+fv)*a*cos(i*360/fn2)+verschieb)*sin(rotation*grad/detail)+sin(tfv+rotation*grad/detail*(tf+1))*ta,
punkte[i][1]+cos(fy*rotation*grad/detail+fvy)*-ay*sin(i*360/fn2)+rotation/detail*p*grad/360+sin(tfvy+rotation*grad/detail*(tfy+0))*tay,
(punkte[i][0]+cos(f*rotation*grad/detail+fv)*a*cos(i*360/fn2)+verschiebY)*cos(rotation*grad/detail)+cos(tfv+rotation*grad/detail*(tf+1))*ta
)
];
pointsRot=RotEx(rot=grad);
points=grad?pointsRot:pointsLin;
//pointsMod=[for(i=[0:len(points)-1])[points[i][0]*1.0,points[i][1]*1,points[i][2]*1]];
//faces1=[for(i=[0:len(points)-fn2-3])each[[i,i+1,i+fn2+1],[i+1,i+fn2+2,i+fn2+1]]];// Triangle faces×2
bottom=[[for(i=[0:fn2-1])(fn2-1)-i]];
top =[[for(i=[len(points)-fn2:len(points)-1])i]];
faces2=[for(i=[0:len(points)-fn2-3])[i,i+1,i+fn2+2,i+fn2+1]];// Quad face version
rotate(grad?[-90,0,-90-(360-grad)/2]:[0,0,0])polyhedron(points=points,faces=close?concat(
faces2,
bottom,
top
):faces2,convexity=5);
HelpTxt("WaveEx",["grad",grad,"h",h,"r",r,"ry",ry,"f",f,"fy",fy,"a",a,"ay",ay,"fv",fv,"fvy",fvy,"tf",tf,"trx",trx,"try",try,"tfy",tfy,"tfv",tfv,"tfvy",tfvy,"ta",ta,"tay",tay,"fn",fn,"fn2",fn2,",rot",rot,"scale",scale,"scaley",scaley,"close",close,"p",p,"name",name],help);
if(help)echo(str("r=radius, f=frequenz, fv=freqverschiebung, a=amplitude, trx=translatetRadiusX, p=steigung"));
}
module WStern(f=5,r=1.65,a=.25,r2,fn=fn,fv=0,name,help){
step=360/fn;
a=is_undef(r2)?a:(r2-r)/2;
r=is_undef(r2)?r:r+a;
points=[for(i=[0:fn])let(i=i%fn)[(r+a*cos(f*i*step+fv))*sin(i*step),(r+a*cos(f*i*step+fv))*cos(i*step)]];
polygon(points);
InfoTxt("WStern",["OD",(r+a)*2,"ID",(r-a)*2],name);
HelpTxt("WStern",["f",f,"r",r,"a",a,"r2",r2,"fn",fn,"fv",fv,"name",name],help);
}
module REcke(h=5,r=5,rad=.5,rad2,single=0,grad=90,fn=fn,help){
rad2=is_undef(rad2)?rad:rad2;
radius=TangentenP(180-grad,r,r);
radius2=TangentenP(180-grad,r+Hypotenuse(rad,rad),r-rad);
difference(){
if(grad==90)T(-rad,-rad)cube([r+rad,rad+r,h]);
else translate([-rad*tan(90-grad/2),-rad]) rotate_extrude(angle=grad,convexity=5)square([radius2,h]);
translate(RotLang(90-grad/2,radius))rotate(grad/2+180)Strebe(angle=200-grad,h=h,single=single,2D=0,rad=rad,rad2=rad2,d=2*r,help=0,name=0,fn=fn);
}
if(help)echo(str("<H3><font color='",helpMColor,"' <b>Help REcke(h=",h,",r=",r,",rad=",rad,",rad2=",rad2,",single=",single,",grad=",grad," ,fn=",fn," ,help"));
if(grad!=90)echo("<H1><font color=red> WIP grad!=90");
}
module SBogen(dist=10,r1=10,r2,grad=45,l1=15,l2,center=1,fn=fn,messpunkt=false,2D=0,extrude=false,grad2=0,x0=0,name,help,spiel=0){
center=is_bool(center)?center?1:0:sign(center);
r2=!is_undef(r2)?r2:r1;
l2=!is_undef(l2)?l2:l1;
2D=is_parent(needs2D)&&!$children?2D?b(2D,false):
1:
b(2D,false);
// echo(parent_module(1),$parent_modules);
grad2=is_list(grad2)?grad2:[grad2,grad2];
extrudeTrue=extrude;
extrude=is_bool(extrude)?0:extrude;
gradN=grad; // detect negativ grad
grad=abs(grad);// negativ grad done by mirror
y=(grad>0?1:-1)*(abs(dist)/tan(grad)+r1*tan(grad/2)+r2*tan(grad/2));
yrest=y-abs(sin(grad))*r1-abs(sin(grad))*r2;//y ohne Kreisstücke
distrest=dist-r2-r1+cos(grad)*r1+cos(grad)*r2;//dist ohne Kreisstücke
l2m=Hypotenuse(distrest,yrest)/2+minVal;// Mittelstück
dist=grad>0?dist:-dist;
$fn=fn;
$fa=fa;
$fs=fs;
$idxON=false;
grad2Y=[-l1+y/2+r1*sin(grad2[0]),l2-y/2-r2*sin(grad2[1])]; // Abstand Kreisende zu Punkt l1/l2
grad2X=[r1-r1*cos(grad2[0])-tan(grad2[0])*grad2Y[0],-r2+r2*cos(grad2[1])-tan(grad2[1])*grad2Y[1]];// Versatz der Punkte durch grad2
KreisCenterR1=[[-abs(dist)/2+extrude+r1,-y/2],[extrude+r1-abs(dist),-y/2-l2],[extrude+r1,-y/2+l1]];
KreisCenterR2=[[abs(dist)/2+extrude-r2,y/2],[extrude-r2,y/2-l2],[abs(dist)+extrude-r2,y/2+l1]];
selectKC=center?center>0?0:
1:
2;
endPunkte=center?center==1?[extrude-abs(dist/2)+grad2X[0],extrude+abs(dist/2)+grad2X[1]]:[extrude-abs(dist)+grad2X[0],extrude+grad2X[1]]:[extrude+grad2X[0],extrude+abs(dist)+grad2X[1]];
InfoTxt(parent_module(search(["Anschluss"],parentList(+0))[0]?
search(["Anschluss"],parentList(+0,start=0))[0]:
1)
,["ext",str(endPunkte[0],"/",endPunkte[1])," 2×=",str(2*endPunkte[0],"/",2*endPunkte[1]),"Kreiscenter",str(KreisCenterR1[selectKC],"/",KreisCenterR2[selectKC])
],name);
if(grad&&!extrudeTrue)mirror(gradN<0?[1,0]:[0,0])translate(center?[0,0,0]:[dist/2,l1]){
translate([dist/2,y/2,0])T(-r2)rotate(grad2[1])T(r2)Bogen(rad=r2,grad=grad+grad2[1],center=false,l1=l2-y/2,l2=l2m,help=0,name=0,messpunkt=messpunkt,2D=2D,fn=fn,d=2D,ueberlapp=spiel)
if($children){
$idx=is_undef($idx)?0:$idx;
$tab=is_undef($tab)?1:b($tab,false)+1;
children();
}
else circle($fn=fn);
T(-dist/2,-y/2) mirror([1,0,0])rotate(180)T(r1)rotate(-grad2[0])T(-r1)Bogen(rad=r1,grad=-grad-grad2[0],center=false,l1=l1-y/2,l2=l2m,help=0,name=0,messpunkt=messpunkt,2D=2D,fn=fn,d=2D,ueberlapp=spiel)
if($children){
$idx=1;
children();
}
else circle($fn=fn);
}
if(!grad&&!extrudeTrue) //0 grad Grade
if(!2D)T(0,center?0:l1+l2)R(90)linear_extrude(l1+l2,convexity=5,center=center?true:false)
if($children)children();
else circle($fn=fn);
else T(center?0:-2D/2) square([2D,l1+l2],center?true:false);
if(extrudeTrue){
points=center?center==1?concat(//center=1
[[x0,l2]],[[extrude+abs(dist)/2+grad2X[1],l2+0]],
kreis(r=-r2,rand=0,grad=abs(grad)+grad2[1],rot=-90-grad2[1],center=false,fn=fn,t=[abs(dist)/2+extrude-r2,y/2]), // ok
kreis(r=-r1,rand=0,grad=-abs(grad)-grad2[0],fn=fn,rot=90+abs(grad),center=false,t=[-abs(dist)/2+extrude+r1,-y/2]), // ok
[[extrude-abs(dist)/2+grad2X[0],-l1]],
[[x0,-l1]]
): concat(//center==-1||>1
[[x0,0]],[[extrude+grad2X[1],0]],
kreis(r=-r2,rand=0,grad=abs(grad)+grad2[1],rot=-90-grad2[1],center=false,fn=fn,t=[extrude-r2,y/2-l2]), // ok
kreis(r=-r1,rand=0,grad=-abs(grad)-grad2[0],fn=fn,rot=90+abs(grad),center=false,t=[extrude+r1-abs(dist),-y/2-l2]), // ok
[[extrude-abs(dist)+grad2X[0],-l2-l1]],
[[x0,-l2-l1]]
):
concat(//center==0
[[x0,l2+l1]],[[extrude+abs(dist)+grad2X[1],l2+l1]],
kreis(r=-r2,rand=0,grad=abs(grad)+grad2[1],rot=-90-grad2[1],center=false,fn=fn,t=[abs(dist)+extrude-r2,y/2+l1]), // ok
kreis(r=-r1,rand=0,grad=-abs(grad)-grad2[0],fn=fn,rot=90+abs(grad),center=false,t=[extrude+r1,-y/2+l1]), // ok
[[extrude+grad2X[0],0]],
[[x0,0]]
);
if(dist>0&&gradN>0) polygon(points,convexity=5);
if(dist<0||gradN<0)mirror([1,0]) polygon(points,convexity=5);
}
if(messpunkt&&is_num(extrude)){
Pivot(KreisCenterR1[selectKC],messpunkt=messpunkt,active=[1,0,0,1]);
Pivot(KreisCenterR2[selectKC],messpunkt=messpunkt,active=[1,0,0,1]);
//echo(KreisCenterR1,KreisCenterR2);
}
//Warnings
Echo(str(name," SBogen has no 2D-Object"),color=Hexstring([1,0.5,0]),size=4,condition=!$children&&!2D&&!extrudeTrue);
Echo(str(name," SBogen width is determined by var 2D=",2D,"mm"),color="info",size=4,condition=2D==1&&!extrudeTrue&&$idx==0);
Echo(str(name," SBogen r1/r2 to big middle <0"),condition=l2m<0);
Echo(str(name," SBogen radius 1 negative"),condition=r1<0);
Echo(str(name," SBogen radius 2 negative"),condition=r2<0);
Echo(str(name," SBogen r1/r2 to big or angle or dist to short"),condition=grad!=0&&r1-cos(grad)*r1+r2-cos(grad)*r2>abs(dist));
Echo(str(name," SBogen angle to small/ l1+l2 to short"),condition=l1-y/2<0||l2-y/2<0);
//Help
HelpTxt("SBogen",["dist",dist,"r1",r1,"r2",r2,"grad",grad,"l1",l1,"l2",l2,"center",center,"fn",fn,"messpunkt",messpunkt,"2D",2D,"extrude",extrude,"grad2",grad2,"x0",x0,"spiel",spiel," ,name=",name],help);
}
module Tri90(grad,a=25,b=25,c,r=0,messpunkt=0,tang=true,fn=fn,name,help){
if (is_list(r)&&!tang)Echo("Tri90 Winkelfehler r is list & tang=false!",color="red");
b=is_undef(grad)?is_undef(c)?b:sqrt(pow(c,2)-pow(a,2)):tan(grad)*a;
grad=atan(b/a);
r1=is_list(r)?is_undef(r[0])?0:r[0]:r;
r2=is_list(r)?is_undef(r[1])?0:r[1]:r;
r3=is_list(r)?is_undef(r[2])?0:r[2]:r;
gradB=90-grad;
wA=90+grad;
wB=90+gradB;
wC=90;
a=tang?a:a+RotLang(90+grad/2,TangentenP(wB,r2))[0];
btang=b+RotLang(+0-gradB/2,TangentenP(wA,r1))[1];
tA=[0,tang?b:btang]-RotLang(+0-gradB/2,TangentenP(wA,r1,r1));
tB=[a,0]-RotLang(90+grad/2,TangentenP(wB,r2,r2));
tC=RotLang(45,TangentenP(wC,r3,r3));
if(messpunkt){
Col(6)union(){ // mittelpunkte
Pivot(tA,active=[1,0,0,1,1],size=messpunkt);
Pivot(tB,active=[1,0,0,1,1],size=messpunkt);
Pivot(tC,active=[1,0,0,1,1],size=messpunkt);
}
union(){ // tangentenpunkte
Pivot([0,0],active=[1,0,0,1,1,1],txt="C",size=messpunkt);
Pivot([0,b],active=[1,0,0,1,1],size=messpunkt);
Pivot([a,0],active=[1,0,0,1,1],size=messpunkt);
}
}
points=concat(
r3==0?[[0,0]]:Kreis(rot=180,grad=wC,fn=fn,rand=0,r=r3,t=tC,center=false),
r1==0?[[0,b]]:Kreis(rot=270,grad=wA,fn=fn,rand=0,r=r1,t=tA,center=false),
r2==0?[[a,0]]:Kreis(rot=+180-wB,grad=wB,fn=fn,rand=0,r=r2,t=tB,center=false)
);
polygon(points,convexity=5);
InfoTxt("Tri90",["a",str(a," b=",b," c=",Hypotenuse(a,b),"mm",r?str(" true a=",tB[0]+r2," b=",tA[1]+r1," c=",norm(tA-tB)+r1+r2):""," grad α=",grad,"° grad β=",gradB,"° γ=90° Höhe c=",a*sin(gradB))],name);
HelpTxt("Tri90",["grad",grad,"a",a,"b",b,"c",c,"r",r,"messpunkt",messpunkt,"tang",tang,"fn",fn,"name",name],help);
}
module Tri(grad=60,l=20,l2,h=0,r=0,messpunkt=0,center=+0,top=0,tang=1,c,fn=fn,name,help){
Echo("WIP‼ c and tang=0",color="red",condition=is_num(c)&&!tang);
h=is_num(c)?c/tan(grad/2)/2:h;
l22=is_undef(l2)?l:l2; //wip
w1=180-grad; //Supplementwinkel
w2=(360-w1)/2;
w3=(360-w1)/2;
rot=w2/2;
r1=is_list(r)?is_undef(r[0])?0:
r[0]:
r;
r2=is_list(r)?is_undef(r[1])?0:
r[1]:
r;
r3=is_list(r)?is_undef(r[2])?0:
r[2]:
r;
l2=h?1/cos(grad/2)*(!tang?h+TangentenP(w1,r1):h):l22;
l3=h?1/cos(grad/2)*(!tang?h+TangentenP(w1,r1):h):l;
hc=h?h:l*cos(grad/2);
t1=[TangentenP(w1,r1,r1),0];
t2=RotLang(90-grad/2,l2)-RotLang(90-w2/2,TangentenP(w2,r2,r2));
t3=RotLang(90+grad/2,l3)-RotLang(90+w3/2,TangentenP(w3,r3,r3));
points=concat(
kreis(rand=0,r=r1,grad=w1,t=t1,fn=fn/3),
kreis(rand=0,r=r2,rot=-rot+180,grad=w2,t=t2,fn=fn/3),
kreis(rand=0,r=r3,rot=rot+180,grad=w3,t=t3,fn=fn/3)
);
rotate(top?0:180)translate([center?
//-2*Kathete(l2,hc)/(2*sin(grad)):top? // center Umkreis
-(tang?hc+TangentenP(w1,r1):hc+2*TangentenP(w1,r1))/2:top? // center h
tang?
0:-TangentenP(w1,r1)
:tang?-hc:h?-hc-TangentenP(w1,r1):-hc,0,0]){//Basis
polygon(points,convexity=5);
if(messpunkt){
union(){//TangentenP
Pivot(active=[1,1,0,1],size=messpunkt);
translate(RotLang(90-grad/2,l2))rotate(90+w2/2)Pivot(active=[1,0,1,1],size=messpunkt);
translate(RotLang(90+grad/2,l3))rotate(90-w3/2)Pivot(active=[1,0,1,1],size=messpunkt);
}
Col(6)union(){ // mittelpunkte
Pivot(t1,active=[1,0,0,1],size=messpunkt);
Pivot(t2,active=[1,0,0,1],size=messpunkt);
Pivot(t3,active=[1,0,0,1],size=messpunkt);
}
}
}
InfoTxt("Tri",["reale Höhe=",tang?hc-TangentenP(w1,r1):hc,"h",tang?hc:hc+TangentenP(w1,r1),"Basis",2*Kathete(l2,tang?hc:hc+TangentenP(w1,r1)),"Umkreis r",2*Kathete(l2,hc)/(2*sin(grad)),"c",l==l22?sin(grad/2)*l*2:"WIP"],name);
HelpTxt("Tri",["grad",grad,"l",l,"l2",l2,"h",h,"r",r,",messpunkt",messpunkt,",center=",center,"top",top,"tang",tang,"c",c,"fn",fn,"name",name],help);
}
module RStern(e=3,r1=30,r2=10,rad1=5,rad2=+30,l,grad=0,rand=0,os=0,randh=2,r=0,fn=fn,messpunkt=messpunkt,infillh,spiel=-.002,name,help){
$helpM=0;
$info=0;
r1=r?TangentenP(grad,rad1,r):r1;
winkel1=180-grad;
spitzenabstand=2*r1*sin(180/e);
winkel3=180-(2*((180-360/e)/2-winkel1/2));
schenkelA= spitzenabstand/2/sin(winkel3/2);
winkel3h=Kathete(schenkelA,spitzenabstand/2);
spitzenabsth=Kathete(r1,spitzenabstand/2);
r2=r?spitzenabsth-winkel3h:r2;
//infillh=$children?infillh:infillh?infillh:1;
infillh=$children?infillh:is_undef(infillh)?0:infillh;
//rand=$children?rand:grad<180?rand:rand?rand:1;
// Winkelberechnung ZackenStern
abstandR1=2*r1*sin(180/e);
abstandR2=2*r2*sin(180/e);
hoeheR1=r1-Kathete(r2,abstandR2/2);
hypR1=Hypotenuse(abstandR2/2,hoeheR1);
gradR1=2*acos(hoeheR1/hypR1);
gradR2=2*asin((abstandR1/2)/hypR1);
// RStern variablen
grad=grad?grad:180-gradR1;
g2=(grad-360/e);
// Abstand Rundungen Zacken
c1=sin(abs(grad)/2)*rad1*2;// Sekante 1
w11=abs(grad)/2; // Schenkelwinkel1
w31=180-abs(grad); // Scheitelwinkel1
a1=(c1/sin(w31/2))/2;
hc1=grad!=180?Kathete(a1,c1/2):0; // Sekante1 tangenten center
hSek1=Kathete(rad1,c1/2); //center Sekante1
c2=sin(abs(g2)/2)*rad2*2;// Sekante 2
w12=abs(g2)/2; // Schenkelwinkel2
w32=180-abs(g2); // Scheitelwinkel2
a2=(c2/sin(w32/2))/2;
hc2=g2!=180?Kathete(a2,c2/2):0; // Sekante2 tangenten center
hSek2=Kathete(rad2,c2/2); //center Sekante2
// RStern l variable
lCalcA=[r1-TangentenP(grad,rad1,rad1),0]+RotLang(90+grad/2,rad1);
lCalcB=g2<0?
RotLang(-90+180/e,-r2+TangentenP(g2,rad2,rad2))-RotLang(-90+180/e-abs(g2)/2,rad2):
RotLang(-90+180/e,-r2-TangentenP(g2,rad2,rad2))+RotLang(-90+180/e+abs(g2)/2,rad2)
;
l=is_undef(l)?norm(lCalcA-lCalcB)/2-spiel/2:l;
//color("cyan")translate(lCalcA)Pivot();//Ende Bogen 1
//color("magenta")translate(lCalcB)Pivot();//Ende Bogen 2
if($children||!(grad<180))union(){
Polar(e,r1,name=0)Bogen(grad=grad,rad=rad1,l=l,help=0,name=0,tcenter=1,fn=fn,messpunkt=messpunkt,ueberlapp=spiel)T(os){
children();
if(grad>=180)T(rand/2,randh/2)square([abs(rand),randh],true);
}
Polar(e,-r2,r=e%2?0:180/e,re=0,name=0)Bogen(grad=g2,rad=rad2,l=l,help=0,name=0,tcenter=true,fn=fn,messpunkt=messpunkt,ueberlapp=spiel)T(-os){
R(0,180)children();
if(grad>=180)T(-rand/2,randh/2)square([abs(rand),randh],true);
}
}
/* old Sternfill
if(grad<180){
if(infillh)linear_extrude(infillh,convexity=5)offset(os,$fn=fn)Rund(rad1,rad2,fn=fn)Stern(e,r1,r2);
if(rand)linear_extrude(randh,convexity=5)Rand(rand)offset(os,$fn=fn)Rund(rad1,rad2,fn=fn)Stern(e,r1,r2);
}
*/
if(grad<=180){
if(infillh)linear_extrude(infillh,convexity=5)offset(os,$fn=fn)RSternFill(e=e,r1=r1-TangentenP(grad,-rad1,-rad1),r2=TangentenP(g2,rad2,r2+rad2),d1=rad1*2,d2=rad2*2,fn=fn,grad1=grad,grad2=g2,help=false);
if(rand)linear_extrude(randh,convexity=5)Rand(rand)offset(os,$fn=fn)RSternFill(e=e,r1=r1-TangentenP(grad,-rad1,-rad1),r2=TangentenP(g2,rad2,r2+rad2),d1=rad1*2,d2=rad2*2,fn=fn,grad1=grad,grad2=g2,help=false);
if(infillh==0)offset(os,$fn=fn)RSternFill(e=e,r1=r1-TangentenP(grad,-rad1,-rad1),r2=TangentenP(g2,rad2,r2+rad2),d1=rad1*2,d2=rad2*2,fn=fn,grad1=grad,grad2=g2,help=false);
}
if(grad>180){
if(infillh)linear_extrude(infillh,convexity=5)offset(os,$fn=fn)RSternFill(e=e,r1=r1+TangentenP(grad,-rad1,-rad1),r2=TangentenP(g2,rad2,r2+rad2),d1=rad1*2,d2=rad2*2,fn=fn,grad1=grad,grad2=g2,help=false);
if(rand)linear_extrude(randh,convexity=5)Rand(rand)offset(os,$fn=fn)RSternFill(e=e,r1=r1+TangentenP(grad,-rad1,-rad1),r2=TangentenP(g2,rad2,r2+rad2),d1=rad1*2,d2=rad2*2,fn=fn,grad1=grad,grad2=g2,help=false);
if(infillh==0)offset(os,$fn=fn)RSternFill(e=e,r1=r1+TangentenP(grad,-rad1,-rad1),r2=TangentenP(g2,rad2,r2+rad2),d1=rad1*2,d2=rad2*2,fn=fn,grad1=grad,grad2=g2,help=false);
}
MO(!$children,warn=true);
HelpTxt("RStern",["e",e,"r1",r1,"r2",r2,"rad1",rad1,"rad2",rad2,"l",l,"grad",grad,"rand",rand,"os",os,"randh",randh,"fn",fn,"messpunkt",messpunkt,"infillh",infillh,"spiel",spiel,"name",name],help);
InfoTxt("RStern",["Grad",str(grad,"°"),"Grad2",str(g2,"°"),"Spitzenwinkel",str(gradR1,"°/",gradR2,"°"),"r1 bis Rundung",
// r1-hc1-hSek1+rad1
r1-TangentenP(grad,-rad1,0)+2*rad1
,"r2 bis Rundung",
//r2+hc2+hSek2-rad2
str(TangentenP(g2,rad2,r2)
,"mm")],name);
}
module RSternFill( // needs checking
e=8, //elements
d1=2, // diameter nipples(convex)
d2, // diameter nipples(concave)
r1=5, // radius 1
r2, //radius 2
grad1=180, // angle nipples 1
grad2, // angle nipples 2
fn=fn,
messpunkt=false,
help
){
winkel=360/(e*2);
//grad1=is_undef(grad)?grad1:grad; // konvex
grad2=is_undef(grad2)?grad1-winkel*2:grad2; // konkav
d2=is_undef(d2)?d1:d2;
sekD1X=sin(grad1/2)*d1/2;
sekD1Y=cos(grad1/2)*d1/2;
sekD2X=sin(grad2/2)*d2/2;
sekD2Y=-cos(grad2/2)*d2/2;
r=norm([sekD1X,r1+sekD1Y]);//connectionpoint radius
r2=is_undef(r2)?Kathete(r,sekD2X)-sekD2Y:r2;
if(messpunkt)rotate(-90){
Pivot(p0=[sekD1X,r1+sekD1Y],txt="D1",active=[0,0,0,1,0,1]);
rotate(-winkel) Pivot(p0=[-sekD2X,r2+sekD2Y],txt="D2",active=[0,0,0,1,0,1]);
//Tz(.1)Color()circle(r,$fn=200);
}
wk=[for(i=[0:e-1]) each concat(
kreis(r=-d2/2,rot=90-winkel/2+i*winkel*2,rand=0,grad=-grad2,sek=true,t=RotLang(-winkel/2+i*winkel*2,r2),fn=fn)
, kreis(r=d1/2,rot=90+winkel/2+i*winkel*2,rand=0,grad=grad1,sek=true,t=RotLang(winkel/2+i*winkel*2,r1),fn=fn)
)];
rotate(winkel/2-90)polygon(wk,convexity=5);
if(help)echo(str("<H3> <font color=",helpMColor,">Help RSternFill(e=",e,",r1=",r1,", r2=",r2," ,d1=",d1," ,d2=",d2, ",grad1=",grad1," ,grad2=",grad2," ,fn=",fn,", messpunkt=",messpunkt," help);"));
}
module GewindeV3(
dn=5,
h=10,
kern=0,//Kerndurchmesser
p=1,//Steigung
w=0,//Windungen
profil=+0.00, //varianz gangbreite
gh=0.56,//Ganghöhe
g=1,//Gänge
scale=1,
name,
fn=36,
help
){
//http://www.iso-gewinde.at
r=dn/2;
gh=gh?gh:(dn-kern)/2;
kern=gh?2*(r-gh):kern;
p=p?p:(w/360)/h;
h=h?h:w/360*p;
w=w?w:(h/p)*360;
winkel=atan2((p/2),gh)*2;
InfoTxt("GewindeV3",["dn∅",dn,"Steigung",str(p,"mm/U"),"Kern",kern,"Gangtiefe",gh,"Winkel~",str(winkel -22.5,"°(",winkel,"°)")],name);
difference(){
if($children) children();
Col(6)linear_extrude(height=h,twist=-w,convexity=10,scale=scale,$fn=fn){
if(g>1) Rund((r-gh/2)*+0.5)Polar(g)T(gh/2)scale([1,1.00+profil])circle(r-gh/2,$fn=fn);
if(g==1)T(gh/2)scale([1,1.00+profil])circle(r-gh/2,$fn=fn);
}
}
HelpTxt("GewindeV3",["dn",dn,"h",h,",kern",kern,"p",p,"w",w,"profil",profil,"gh",gh,"g",g,"scale",scale,"name",name,"fn",fn],help);
}
module LinEx2(bh=5,h=1,slices=10,s=1,ds=+0.010,dh=+0,fs=1,fh=0.780,twist=0,hsum=0,startSlices=0,fn=fn,name,help){
$helpM=0;
$info=0;
s=is_list(s)?s:[s,s];
hsum=hsum?hsum:h;
startSlices=startSlices?startSlices:slices;
if(slices-1)rotate(-twist*h)Tz(h)scale([s[0],s[1],1])LinEx2(bh=bh,slices=slices-1,s=s*fs-[ds,ds],h=h*fh-dh,ds=ds,dh=dh,hsum=hsum+h*fh-dh,fs=fs,fh=fh,name=name,startSlices=startSlices,twist=twist,fn=fn,help=help)children();
Color(1/startSlices*slices)rotate(-twist*bh)Tz(bh)linear_extrude(h+minVal,twist=twist*(h+minVal),scale=s,convexity=5,$fn=fn)children();
if(slices==startSlices){
linear_extrude(bh+minVal,twist=twist*bh,convexity=5,$fn=fn)children();
MO(!$children);
}
if(!(slices-1)){
InfoTxt("LinEx2",["Höhe",hsum+minVal+bh,"Twist",(hsum+bh)*twist],name);
HelpTxt("LinEx2",["bh",bh,"h",h,"slices",slices,"s",s,"ds",ds,"dh",dh,"fs",fs,"fh",fh,"twist",twist,"hsum",hsum,"startSlices",startSlices,"fn",fn,"name",name],help);
}
}
module Surface(x=20,y,zBase=5,deltaZ=.25,res=6,waves=false,
rand=true,seed=42,randsize=1,randSizeY,freqX=1,freqY,ampX=1,waveSkewX=+0,ampY,waveSkewY,ampRoundX=0,rfX=+1,ampRoundY,rfY,versch=[0,0],abs=false,exp=1,expY,sinDelta=0,sinDeltaY,mult=false,name,help){
HelpTxt("Surface",[
"x",x,
"y",y,
"zBase",zBase,
"deltaZ",deltaZ,
"res",res,
"waves", waves,
"rand",rand,
"seed",seed,
"randsize",randsize,
"randSizeY",randSizeY,
"freqX",freqX,
"freqY",freqY,
"ampX",ampX,
"waveSkewX",waveSkewX,
"ampY",ampY,
"waveSkewY",waveSkewY,
"ampRoundX",ampRoundX,
"rfX",rfX,
"ampRoundY",ampRoundY,
"rfY",rfY,
"versch",versch,
"abs",abs,
"exp",exp,
"expY",expY,
"sinDelta",sinDelta,
"sinDeltaY",sinDeltaY,
"mult",mult,
"name",name
],help);
/*
if(help){
echo(str("<font color='",helpMColor,"', size=3><b>Help Surface"));
echo(str("<font color='",helpMColor,"', size=2> Surface(x=",x,",y=",y,", zBase=",zBase," // mm size "));
echo(str("<font color='",helpMColor,"', size=2> deltaZ=",deltaZ,", res=",res," // random change +− and resolution points/mm "));
echo(str("<font color='#5500aa', size=2> waves=",waves,", rand=",rand,", // pattern waves and/or random"));
echo(str("<font color='#5500aa', size=2> seed=",seed,", randsize=",randsize,",randSizeY=",randSizeY,", //random seed, random size y strech"));
echo(str("<font color='#5500aa', size=2> freqX=",freqX,", freqY=",freqY,", ampX=",ampX,",waveSkewX=",waveSkewX,", ampY=",ampY,", waveSkewY=",waveSkewY,", // wave frequenz and amplitude XY"));
echo(str("<font color='#5500aa', size=2> ampRoundX=",ampRoundX,", rfX=",rfX,",ampRoundY=",ampRoundY,",rfY=",rfY,", // rounded Waveform ⇒ coarse, roundig factor"));
echo(str("<font color='#5500aa', size=2> versch=",versch,", name=",name,", abs=",abs,", exp=",exp,", expY=",expY,", sinDelta=",sinDelta,", sinDeltaY=",sinDeltaY,"mult=",mult,",); // move wave pattern show info and abs values, exponent, move sin center waves only"));
}//*/
y=is_undef(y)?x:y;//assert(x!=0&&y!=0)
randSizeY=assert(randsize!=0&&randSizeY!=0)is_undef(randSizeY)?1/randsize:1/randSizeY;
freqY=is_undef(freqY)?freqX:freqY;
ampY=is_undef(ampY)?ampX:ampY;
waveSkewY=is_undef(waveSkewY)?waveSkewX:waveSkewY;
ampRoundY=is_undef(ampRoundY)?ampRoundX:ampRoundY;
rfY=is_undef(rfY)?rfX:rfY;
expY=is_undef(expY)?exp:expY;
sinDeltaY=is_undef(sinDeltaY)?sinDelta:sinDeltaY;
if(waves)InfoTxt("Surface",["λ X/Y",str(10/freqX,"/",10/freqY," mm - λ¼=",10/freqX/4,"/",10/freqY/4," mm")],name);
rowl=assert(x>0)x; //frame x values
rowly=assert(y>0)y;//frame y values
resolution=1/res;//[10,5,2.5,1,0.5,0.25,0.125]
//randSizeY=1/randSizeY;
random=rands(-deltaZ,deltaZ,((rowl+1)*(rowly+1)*randSizeY)/min(randsize,1),seed);
/*
z1=0;
z2=0.5;
alternate=[for(h=[0:y+1])for(i=[0:x+0])h%2?i%2?deltaZ:deltaZ/2:i%2?deltaZ/2:deltaZ];
alternate3=[for(h=[0:y+1])for(i=[0:x+0])h%4?i%3?z1:z2:i%2?z2:z1];
function alternate2(x,y,z1=0.0,z2=0.5)=x%2?y%2?z1:z2:z2;
//
points0alternativ=[
for(x=[-rowl/2+versch[0]:resolution:rowl/2+versch[0]])
for(y=[-rowly/2+versch[1]:resolution:rowly/2+versch[1]])
[x,y,
//alternate2((x+(rowl/2)),(y+(rowly/2)))]
//alternate[(x+rowl/2)+(rowl+0.5)*(y+rowly/2)]]
alternate3[(x+rowl/2)+(rowl+0)*(y+rowly/2)]]
];
*/
points0=[
for(x=[-rowl/2+versch[0]:resolution:rowl/2+versch[0]])
for(y=[-rowly/2+versch[1]:resolution:rowly/2+versch[1]])
[x,y,
(rand?random[randSizeY*(round((y+rowly/2-versch[1])/randsize)+round((x+rowl/2-versch[0])/randsize)*rowly)]:0)
+(waves?abs?
pow(ampY*abs(sinDeltaY+sin(y*36*freqY+x*36*freqX*waveSkewY)),expY)
*(mult?pow(ampX*abs(sinDelta+sin(x*36*freqX+y*36*waveSkewX*freqY)),exp):1)
+(mult?0:pow(ampX*abs(sinDelta+sin(x*36*freqX+y*36*waveSkewX*freqY)),exp))
+ampRoundX*round(rfX*abs(sin(x*36*freqX+y*36*waveSkewX*freqY)))
+ampRoundY*round(rfY*abs(sin(y*36*freqY+x*36*freqX*waveSkewY)))
:
pow(ampY*(sinDeltaY+sin(y*36*freqY+x*36*freqX*waveSkewY)),expY)
*(mult?pow(ampX*(sinDelta+sin(x*36*freqX+y*36*waveSkewX*freqY)),exp):1)
+(mult?0:pow(ampX*(sinDelta+sin(x*36*freqX+y*36*waveSkewX*freqY)),exp))
+ampRoundX*round(rfX*sin(x*36*freqX+y*36*waveSkewX*freqY))
+ampRoundY*round(rfY*sin(y*36*freqY+x*36*freqX*waveSkewY))
//+amplitude4*sin((y*0+x*1)*freqY)
//+amplitude3*cos((y-x)*freqY)
:0)]
];
resx=rowl*res;// /resolution;
resy=rowly*res;// /resolution;
faces0=[
for(row=[+0:resx-1])
for(i=[row*resy-1:(row+1)*resy-2])
[i+1+row,i+row+2,i+row+3+resy,i+row+2+resy]
];
points1=[
[-rowl/2+versch[0],-rowly/2+versch[1],-zBase],
[-rowl/2+versch[0],rowly/2+versch[1],-zBase],
[rowl/2+versch[0],-rowly/2+versch[1],-zBase],
[rowl/2+versch[0],rowly/2+versch[1],-zBase],
];
end0=len(points0);
faces1=[[end0+3,end0+1,end0+0,end0+2]];
fpointssideA=[for(i=[resy:-1:0])i];
fpointssideB=[for(i=[0:resy+1:resx*(resy+1)])i];
fpointssideC=[for(i=[(resy+1)*(resx+1)-1:-resy-1:resy])i];
fpointssideD=[for(i=[len(points0)-resy-1:len(points0)-1])i];
faces2=[concat(fpointssideA,[end0+0,end0+1])];
faces3=[concat(fpointssideB,[end0+2,end0+0])];
faces4=[concat(fpointssideC,[end0+1,end0+3])];
faces5=[concat(fpointssideD,[end0+3,end0+2])];
points=concat(points0,points1);
faces=concat(faces0,faces1,faces2,faces3,faces4,faces5);
translate(-versch)Col(6)polyhedron(points,faces,convexity=5);
}
module Cring(
id=20,
grad=230,
h=15,
rand=3,
rad=1,
end=1,
txt=undef,
tWeite,
tSize=5,
center=true,
fn=fn,
fn2=36,
help
){
center=center==true?1:center==false?0:center;
tWeite=is_undef(tWeite)?tSize*0.9:tWeite;
Tz(center>0?-h/2:0)rotate(center?-grad/2:0){
rad=min(rad,h/2,rand/2);
difference(){
rotate_extrude(angle=grad,$fn=fn,convexity=5)T(id/2)Quad(rand,h,r=rad,center=false,fn=fn2,help=0,name=0);
if(txt!=undef)Tz(h/2-tSize/2)difference(){
for(i=[0:len(txt)-1])rotate(grad/2+i*atan(tWeite/(id/2+rand))-(len(txt)-1)/2*atan(tWeite/(id/2+rand)))T(id/2+rand)R(90,0,90)Text(text=txt[i],h=1,cx=true,cz=true,size=tSize);
Col(4) cylinder(100,d=id+rand*2-n(1),center=true,$fn=fn);
}
}
if(end==1){
T(id/2+rand/2)Pille(l=h,d=rand,rad=rad,center=false,fn=fn2,fn2=fn2/4,name=0);
rotate(grad)T(id/2+rand/2)Pille(l=h,d=rand,rad=rad,center=false,fn=fn2,fn2=fn2/4,name=0);
}
if(end==2){
T(id/2+rand/2,0,h/2)R(90)Tz(-rad)Prisma(c1=0,x1=rand,z=rad*2,y1=h,s=rad*2,fnS=fn2,name=0,help=0);
rotate(grad)T(id/2+rand/2,0,h/2)R(90)Tz(-rad)Prisma(c1=0,x1=rand,z=rad*2,y1=h,s=rad*2,fnS=fn2,name=0,help=0);
}
}
HelpTxt("Cring",[
"id", id,
"grad",grad,
"h",h,
"rand",rand ,
"rad",rad ,
"end", end ,
"txt",txt ,
"tWeite",tWeite ,
"tSize", tSize,
"center", center ,
"fn", fn,
"fn2",fn2],
help);
}
module Stern(e=5,r1=10,r2=5,mod=2,delta=+0,center=1,name,help){
name=is_undef(name)?is_undef($info)?false:$info:name;
star=
let(schritt=360/(e*mod))
[for(i=[0:e*mod])i%mod<mod/2+round(delta)?[sin(i*schritt)*r1,cos(i*schritt)*r1]:[sin(i*schritt)*r2,cos(i*schritt)*r2]];
abstandR1=2*r1*sin(360/(e*mod));
abstandR2=2*r2*sin(360/(e*mod));
hoeheR1=r1-Kathete(r2,abstandR2/2);
hypR1=Hypotenuse(abstandR2/2,hoeheR1);
gradR1=2*acos(hoeheR1/hypR1);
gradR2=2*asin((abstandR1/2)/hypR1);
sWinkel=360/(e*mod);
deltaSoll=(floor((mod-1)/2));
rotate((center==-1?180/e:0)-90+(center?sWinkel/4*(mod-(mod%2?1:2))+delta*sWinkel/2:+0))polygon(points=star,convexity=5);
if(name&&delta!=-deltaSoll&&!$idx)Echo(str("Delta für Spitze r1=",-deltaSoll),color="green");
if(mod==2&&delta==0)InfoTxt("Stern",["Spitzenabstand r1",abstandR1,"Abstand r2",abstandR2,"Flanke",hypR1,"Winkel r1",str(delta==-deltaSoll?gradR1:gradR1-(sWinkel*(deltaSoll+delta)),"°"),"Winkel r2",str(mod==2?gradR2:undef,"°"),"Schrittwinkel",str(sWinkel,"°")],name);
else InfoTxt("Stern",["Flanke",hypR1,"Winkel r1",str(delta==-deltaSoll?gradR1:gradR1-(sWinkel*(deltaSoll+delta)),"°"),"Schrittwinkel=",str(sWinkel,"°")],name);
HelpTxt("Stern",["e",e,"r1",r1,"r2",r2,"mod",mod,"delta",delta,"center",center,"name",name],help);
}
module Disphenoid(h=15,l=25,b=20,r=1,tx=0,ty=0,tz=0,fn=36,help){
points=[
[-l/2+r,b/2-r+ty,0],
[-l/2+r,-b/2+r+ty,0],
[l/2-r,0,h/2-r+tz],
[l/2-r,0,-h/2+r+tz],
];
faces=[
[1,0,2],
[0,1,3],
[2,3,1],
[3,2,0],
];
minkowski(){
polyhedron(points,faces,convexity=5);
sphere(r,$fn=fn);
}
if(help)echo(str("<H3> <font color=",helpMColor,">Help Disphenoid(
h=",h," ,
l=",l,
" ,b=",b,
" ,r=",r,
" ,tx=",tx,
" ,ty=",ty,
" ,tz=",tz,
"help);"));
}
module Quad(x=20,y,r,r1,r2,r3,r4,grad=90,grad2=90,fn=fn,center=true,messpunkt=false,basisX=0,trueX=false,centerX,tangent=true,name,help){
assert(grad!=0&&grad2!=0);
basisX=is_bool(basisX)?basisX?1:0:is_undef(centerX)?basisX:is_bool(centerX)?centerX?1:0:centerX;
y=is_num(y)?y:
is_list(x)?x[1]:
x;
xNum=is_list(x)?x[0]:x;
rundung=runden(min(xNum,y)/PHI/2,2);
//r=is_undef(r)?[rundung,rundung,rundung,rundung]:is_list(r)?r:[r,r,r,r];
r1=is_num(r1)?r1:is_undef(r[0])?is_num(r)?r:rundung:r[0];
r2=is_num(r2)?r2:is_undef(r[1])?is_num(r)?r:rundung:r[1];
r3=is_num(r3)?r3:is_undef(r[2])?is_num(r)?r:rundung:r[2];
r4=is_num(r4)?r4:is_undef(r[3])?is_num(r)?r:rundung:r[3];
rf1=1/sin(grad);
rf2=1/sin(grad2);
shiftX1=tan(grad-90)*y-r1*2*tan(grad-90);
shiftX2=tan(grad2-90)*y-r2*2*tan(grad2-90);
shiftX3=tan(grad-90)*y-r3*2*tan(grad-90);
shiftX4=tan(grad2-90)*y-r4*2*tan(grad2-90);
// konstante x basis mit Rundung (tangetial punkte) / trueX= reale breite
bx1L=r3-r3*rf1+shiftX3/2;
bx1R=r4-r4*rf2-shiftX4/2;
bx2L=r1-r1*rf1-shiftX1/2;
bx2R=r2-r2*rf2+shiftX4/2;
bxL=sign(basisX)*tan(90-grad2)*(y/2);
bxR=-sign(basisX)*tan(90-grad)*(y/2);
x=is_list(x)?trueX?basisX==-1?x[0]-bx2L-bx2R:x[0]-bx1L-bx1R:x[0]-bxL-bxR:trueX?basisX==-1?x-bx2L-bx2R:x-bx1L-bx1R:x-bxL-bxR;
trueX1=x+bx1L+bx1R; // real x1 breite
trueX2=x+bx2L+bx2R; // real x2 breite
p1=-x/2+shiftX1/2-r1*1/tan(grad);
p2=x/2+shiftX2/2-r2*1/tan(grad2);
p3=-x/2-shiftX3/2+r3*1/tan(grad);
p4=x/2-shiftX4/2+r4*1/tan(grad2);
x1=abs(p3)+abs(p4);
x2=abs(p1)+abs(p2);
cTrans=center?[basisX==1?tangent?-p3+(p3-p4)/2:
(bx1L-bx1R)/2:
basisX==-1?tangent?-p1+(p1-p2)/2:
(bx2L-bx2R)/2:
0,sign(basisX)*y/2]:
tangent?basisX==1?[x/2+shiftX3/2-r3*1/tan(grad),y/2]:// center= false
[x/2-shiftX1/2+r1*1/tan(grad),y/2]:
basisX==1?[bx1L+x/2,y/2]:
basisX==-1?[bx2L+x/2,y/2]:
[x/2,y/2];
k1=Kreis(rand=0,r=r1,t=[-x/2+r1*rf1+shiftX1/2,y/2-r1]+cTrans,grad=180-grad,rot=grad-180,fn=fn/4,center=false);
k2=Kreis(rand=0,r=r2,t=[x/2-r2*rf2+shiftX2/2,y/2-r2]+cTrans,grad=grad2,rot=-45+45,fn=fn/4,center=false);
k3=Kreis(rand=0,r=r3,t=[-x/2+r3*rf1-shiftX3/2,-y/2+r3]+cTrans,grad=grad,rot=-225+45,fn=fn/4,center=false);
k4=Kreis(rand=0,r=r4,t=[x/2-r4*rf2-shiftX4/2,-y/2+r4]+cTrans,grad=180-grad2,rot=grad2 ,fn=fn/4,center=false);
union(){
polygon(concat(k1,k2,k4,k3),convexity=5);
if(messpunkt){
Pivot([p1,y/2]+cTrans,active=[1,0,0,1,1],messpunkt=messpunkt);
Pivot([p2,y/2]+cTrans,active=[1,0,0,1,1],messpunkt=messpunkt);
Pivot([p3,-y/2]+cTrans,active=[1,0,0,1,1],messpunkt=messpunkt);
Pivot([p4,-y/2]+cTrans,active=[1,0,0,1,1],messpunkt=messpunkt);
}
}
if(r1+r2>abs(trueX2)||r3+r4>abs(trueX1))Echo("Quad x too small or r too big",color="red");
if(r1+r1*sin(90-grad)+r3+r3*sin(grad-90)>abs(y)||r2+r2*sin(grad2-90)+r4+r4*sin(90-grad2)>abs(y))Echo("Quad y too small or r too big",color="red");
InfoTxt("Quad",["TangentsizeX1",x1,"sizeX2",x2,"real",str(trueX1,"/",trueX2),"r",r],name);
HelpTxt("Quad",["x",x,"y",y,"r",r,"grad",grad,"grad2",grad2,"fn",fn,"center",center,"name",name,"messpunkt",messpunkt,"trueX",trueX,"centerX",centerX,"tangent",tangent],help);
}
module Linse(dia=10,r=7.07107,name,messpunkt=true,help){
InfoTxt("Linse",["Dicke",dick,"Kreisgrad",str(grad,"°")],name);
tx=Kathete(r,dia/2);
grad=2*asin((dia/2)/r);
dick=2*(r-tx);
polygon(concat( kreis(rand=0,r=r,grad=grad,t=[tx,0]), kreis(rand=0,r=r,grad=grad,rot=-180,t=[-tx,0])));
if(messpunkt){
Pivot([tx,0],active=[1,0,0,1,0],messpunkt=messpunkt);
Pivot([0,dia/2],active=[1,0,0,1,1],messpunkt=messpunkt);
Pivot([-tx,0],active=[1,0,0,1,1],messpunkt=messpunkt);
}
HelpTxt("Linse",[
"dia",dia,
"r",r,
"name",name,
"messpunkt=",messpunkt],
help);
}
module VorterantQ(size=20,ofs=.5,name){
s=Umkreis(4,size/2-ofs);
k1=Kreis(s,rand=0,grad=90);
versch=[for(i=[0:len(k1)])[-Inkreis(4,s),0]];
offset= [for(i=[0:len(k1)])[ofs*sin(45+i*90/len(k1)),ofs*cos(45+i*90/len(k1))]];
function offsetvert(fn=12)= [for(i=[0:fn])[ofs*sin(-45+i*90/fn),ofs*cos(-45+i*90/fn)+Inkreis(4,s)]];
linse=concat(k1+versch+offset,-offsetvert(),-k1-versch-offset,offsetvert());
polygon(linse);
if(name)echo(str(name," VQ Radius=",s,"mm - Verschoben um",Inkreis(4,s)-ofs,"mm"));
}
module GewindeV2(dn=10,s,w=0,g=1,winkel=+60,rot2=0,r1=0,kern,fn=1,detail=fn,spiel=spiel,name,tz=0,preset=0,h=10,translate=[0,0,0],rotate=[0,0,0],d=0,gd=0,r=0,center=true,help,p=1.5,endMod=true){
s=is_undef(s)?p:s;//Steigung
p=s;
r1=r1?r1:p/sin(winkel/2)/2-0.01; //overlap preventing
rh=Kathete(r1,p/2); //Gangtiefe
spiel=rot2==0?spiel:0; // spiel only for symetrische
dn=$children?dn+spiel*2:dn;
kern=!is_undef(kern)?kern:dn-2*rh+spiel;
function profil(rot=0)=
0? vollwelle(fn=1,extrude=-1,x0=+0,h=1,xCenter=1,r=0.2,r2=0.5,l=p-.1) // test vollwelle
: kreis(r=r1,rand=+0,fn=fn,grad=winkel,sek=winkel==360?1:0,rot=rot2);
function RotEx(rot=0,punkte=profil(rot=60),verschieb=dn/2,steigung=1,detail=detail)=[for(rotation=[0:detail*rot/360])for(i=[0:len(punkte)-1])
concat((punkte[i][0]+verschieb)*sin(rotation*360/detail),punkte[i][1]+rotation/detail*steigung,(punkte[i][0]+verschieb)*cos(rotation*360/detail))
];
function faces(punkte=RotEx(),fn=len(profil())-1)=[
for(i=[0:fn-2])[0,i+1,i+2],
for(i=[0:len(punkte)-2-fn])[fn+1+i,1+i,+i],
for(i=[0:len(punkte)-2-fn])[fn+i,fn+1+i,+i],
for(i=[1:fn])[len(punkte)-i+0,len(punkte)-i-1,len(punkte)-1]
];
Echo("‼ using old GewindeV2 ‼",color="warning");
if(d||gd||r){GewindeV1(d=d,s=s,w=w?w:5,g=g,tz=tz,gd=gd?gd:1.75,fn=fn==1?3:fn,r=r)children();//Kompatibilität
Echo("‼ using old GewindeV1 ‼",color="warning");
}
else if(false)R(90)polyhedron(RotEx(rot=100,steigung=p),faces(punkte=RotEx(rot=100)),convexity=15); //test for polyhedron only
else if(preset==0){
w=w?w:h/p*360;
add=center?p/2:0;
difference(){
if($children)children();
translate(translate)rotate(rotate)Tz(-add+tz)intersection(){
union(){
Col(6) Polar(g,n=0) difference(){
R(90)polyhedron(RotEx(rot=w,steigung=p),faces(punkte=RotEx(rot=w)),convexity=15);
if(endMod)Tz(h)rotate(-90+w%360-w%(360/detail))T(dn/2)cylinder(p,d=rh*2-spiel,center=true,$fn=4);
if(endMod)rotate(-90)T(dn/2)cylinder(p,d=rh*2-spiel,center=true,$fn=4);
}
if(rot2==0)Col(9) Tz(-p/2) rotate(-90)cylinder(w/360*p+p,d=kern,center=false,$fn=detail);
}
if(rot2==0)Col(8) rotate(-90)cylinder(2*w/360*p+p,d=dn-spiel,center=true,$fn=detail);
}
}
HelpTxt("GewindeV2",["dn",dn,"s",s,"w",w,"g",g,"winkel",winkel,"rot2",rot2,", r1",r1,",kern",kern,"fn",fn,"detail",detail,"spiel",spiel,"name",name,"tz",tz,"preset",preset,"h",h,"translate",translate,"rotate",rotate,"d",d,"gd",gd,"r",r,"center",center,"p",p,"endMod",endMod],help&&!preset);
if(name)echo(str("Gangtiefe=",rh,"mm - Gangflanke(r1)=",r1,"mm - Steigung=",p,"mm - Höhe=",w/360*p,"mm+",p));
if(name)echo(str(name,rot2==0?$children?" Innen": " Aussen":" Undefiniertes","gewinde ∅=",dn-spiel," (",dn,") Kern=",kern));
if(winkel==360)Echo(str(" ∅ Diameter Warning!"),color="warning");
}
else if(preset==1){// ½ Zoll Gewinde
if($children) GewindeV2(dn=20.95,w=w,h=h,kern=19,winkel=55,p=1.814286,preset=0,fn=1,translate=translate,rotate=rotate)children();
if(!$children) GewindeV2(dn=20.95,w=w,h=h,winkel=55,p=1.814286,preset=0,fn=1,translate=translate,rotate=rotate,help=help);
echo(str(" ½ Zoll Gewinde "));
}
else if(preset==2){// ¾ Zoll Gewinde
if($children) GewindeV2(dn=26.44,w=w,h=h,kern=24.5,winkel=55,p=1.814286,preset=0,fn=1,translate=translate,rotate=rotate)children();
if(!$children) GewindeV2(dn=26.44,w=w,h=h,winkel=55,p=1.814286,preset=0,fn=1,translate=translate,rotate=rotate);
echo(str(" ¾ Zoll Gewinde "));
}
else if(preset=="M3"){// M3 Gewinde
if($children) GewindeV2(dn=3,w=w,h=h,p=.5,preset=0,fn=1,translate=translate,rotate=rotate)children();
if(!$children) GewindeV2(dn=3,w=w,h=h,p=.5,preset=0,fn=1,translate=translate,rotate=rotate);
echo(str(" M3 Gewinde "));
}
else if(preset=="M6"){// M6 Gewinde
if($children) GewindeV2(dn=6,w=w,h=h,p=1,preset=0,fn=1,translate=translate,rotate=rotate)children();
if(!$children) GewindeV2(dn=6,w=w,h=h,p=1,preset=0,fn=1,translate=translate,rotate=rotate);
echo(str(" M6 Gewinde "));
}
}
module Rand(rand=n(1),center=false,fn=fn,delta=false,chamfer=false,help){
if(!center){
if(rand>0)difference(){
offset(r=delta?undef:rand,delta=rand,$fn=fn,chamfer=chamfer?true:false)children();
union(){
$helpM=0;
$info=0;
children();
}
}
if(rand<0)difference(){
children();
union(){
$helpM=0;
$info=0;
offset(r=delta?undef:rand,delta=rand,$fn=fn,chamfer=chamfer?true:false)children();
}
}
}
if(center)
difference(){
offset(r=delta?undef:abs(rand),$fn=fn,delta=abs(rand),chamfer=chamfer?true:false)offset(r=delta?undef:-abs(rand/2),$fn=fn,delta=-abs(rand/2),chamfer=chamfer?true:false)children();
union(){
$helpM=0;
$info=0;
offset(r=delta?undef:-abs(rand),$fn=fn,delta=-abs(rand),chamfer=chamfer?true:false) offset(r=delta?undef:abs(rand/2),$fn=fn,delta=abs(rand/2),chamfer=chamfer?true:false)children();
}
}
MO(!$children);
HelpTxt("Rand",["rand",rand,"center",center,"fn",fn,"delta",delta,"chamfer",chamfer],help);
}
module Laser3D(h=4,layer=10,var=0.002,name,on=-1){
if(on==1)for (i=[0:h/layer:h]){
c=i/h;
T(z=i/h*var) color([c,c,c]) projection(cut=true)T(z=-i)children();
}
if(on==-1) for(i=[+0.0:h/layer:h]){
color([i/h,i/h,i/h])T(z=i*+0.01) intersection(){
T(-500,-500,i) cube([1000,1000,layer]);
T(z=-i*0.000) children();
}
}
if(on==0) children();
T(z=-.48)color([0,0,0])cube([1000,1000,1],true);
MO(!$children);
InfoTxt("Laser3D",["color resolution=",str(h/layer,"mm")],name);
}
module Ellipse(x=2,y=2,z=0,fn=36,help){
//ToDo z rot;
//function rota(i)=-atan2(sin(i)*y,cos(i)*x)+90;
function rot(i)=atan2(cos(i)*x,sin(i)*y);
for (n=[0:fn-1]){
$idx=n;
i=360/fn*n;
j=i+360/fn;
if($children) Color(1/fn*n)hull(){
T(sin(i)*x,cos(i)*y,cos(i)*z)rotate(rot(i))children();
union(){
$idx=$idx+1;
T(sin(j)*x,cos(j)*y,cos(j)*z)rotate(rot(j))children();
}
}
if(!$children)hull(){
T(sin(i)*x,cos(i)*y,cos(i)*z)rotate(rot(i))circle($fn=36);
T(sin(j)*x,cos(j)*y,cos(j)*z)rotate(rot(j))circle($fn=36);
}
}
MO(!$children);
HelpTxt("Ellipse",["x",x,"y",y,"z",z,"fn",fn],help);
}
module WStrebe(grad=45,grad2,h=20,d=2,d2=0,rad=3,rad2=0,sc=0,angle=360,spiel=spiel,fn=fn,2D=false,center=true,rot=0,help){
rad2=rad2?rad2:rad;
d2=d2?d2:d;
grad2=is_undef(grad2)?grad:grad2;
if(!2D)R(0,center?0:grad)Tz(center?0:h/2){
rotate(rot)R(180)Halb(1)Tz(-h/2)R(0,-grad2) Strebe(rad=rad2,rad2=rad,d=d2,d2=d,h=h,grad=grad2,single=false,name=0,help=0,2D=0,sc=sc,angle=angle,spiel=spiel,fn=fn); //oben
Tz(.1)Halb(1)Tz(-h/2-.1)R(0,-grad) Strebe(rad=rad,rad2=rad2,d=d,d2=d2,h=h,grad=grad,single=false,name=0,help=0,2D=0,sc=sc,angle=angle,spiel=spiel,fn=fn);//unten
}
if(2D)R(0,0,center?0:-grad)T(0,center?0:h/2){
mirror([0,1,0])Halb(1,y=1,2D=true)T(0,-h/2)R(0,0,grad2) Strebe(rad=rad2,d=d2,d2=d,h=h,grad=grad2,single=false,n=0,help=0,2D=2D,sc=sc,angle=angle,spiel=spiel,fn=fn);
Halb(1,y=1,2D=true)T(0,-h/2)R(0,0,grad) Strebe(rad=rad,d=d,d2=d2,h=h,grad=grad,single=false,n=0,help=0,2D=2D,sc=sc,angle=angle,spiel=spiel,fn=fn);//unten
}
HelpTxt("WStrebe",["grad",grad,"grad2",grad2,"h",h,"d",d,"d2",d2,"rad",rad,"rad2",rad2,"sc",sc,"angle",angle,"spiel",spiel,"fn",fn,"2D",2D,"center",center,"rot",rot],help);
}
module Strebe(h=20,d=5,d2,rad=4,rad2,sc=0,grad=0,skew=0,single=false,angle=360,spiel=spiel,fn=fn,fn2=fn/4,center=false,name,2D=false,help){
rad2=is_undef(rad2)?is_list(rad)?rad[1]:
rad:
rad2;
rad=is_list(rad)?rad[0]:rad;
d2=is_undef(d2)?d:d2;
skew=skew?skew:tan(grad);
grad=atan(skew);
sc=sc?sc:d/(d*cos(grad));
winkel=h==rad+rad2?90:
atan((single?(h-rad):
(h-rad-rad2))/(d2/2-d/2));
grad1=winkel>0?180-winkel:abs(winkel);//90;//VerbindugsWinkel unten
grad2=180-grad1;//VerbindugsWinkel oben
//assert(h>=(rad+rad2),str("Strebe too short h=",h,"<",rad,"+",rad2," for rad"));
if (!2D && !is_parent(needs2D))//search(["Rundrum"], parentList())[0] )
M(skewzx=skew) Tz(center ? -h/2 : 0) scale([sc, 1, 1])
rotate(-angle/2) rotate_extrude(angle=angle, convexity=5, $fn=fn)
Strebe(skew=0, h=h, d=d, d2=d2, rad=rad, rad2=rad2, sc=1, grad=0, single=single, spiel=spiel, fn2=fn2, name=0, 2D=2, help=false);
InfoTxt("Strebe",[
"Neigungs ∡",str(atan(skew),"°"),
"center ∡",str(single||rad!=rad2?"~":"=",winkel,"°"),
"Scale",sc,
" dSkew",str(d,"/",d*sc*cos(grad),"-",d2,"/",d2*sc*cos(grad),"mm"),
"Parent",parentList()
],name);
if (2D || is_parent(needs2D))//search(["Rundrum"], parentList())[0] )
M(skewyx=skew)T(0,center?-h/2:0){
if(grad1>90) Echo(str("Strebe ∅",d,"mm is d=",(d/2-rad+sin(grad1)*rad)*2),color="warning");
if(grad2>90) Echo(str("Strebe ∅",d2,"mm is d2=",(d2/2-rad2+sin(grad2)*rad2)*2),color="warning");
Echo(str("Strebe too short h=",h,"<",rad,"+",rad2," for rad"),color="warning",condition=h<(rad+rad2));
points= concat(
2D==2?[[0,h+spiel]]:single?[[-d2/2,h]]:Kreis(fn=fn2,rand=0,r=rad2,grad=-grad2,rot=+grad2,center=false,sek=true,t=[-d2/2-abs(sin(winkel))*rad2,h-rad2]),
2D==2?[[+0,h+spiel]]:[[single?-d2/2:-d2/2-rad2,h+spiel]],
[[single?d2/2:d2/2+rad2,h+spiel]],
single?[[d2/2,h]]:Kreis(fn=fn2,rand=0,r=rad2,grad=-grad2,rot=0,center=false,sek=true,t=[d2/2+abs(sin(winkel))*rad2,h-rad2]),
kreis(fn=fn2,rand=0,r=rad,grad=-grad1,rot=grad1-180,center=false,sek=true,t=[d/2+abs(sin(winkel))*rad,rad]),
[[d/2+rad,0-spiel]],
2D==2?[[0,-spiel]]:[[-d/2-rad,0-spiel]],
2D==2?[[+0,0]]:Kreis(fn=fn2,rand=0,r=rad,grad=-grad1,rot=180,center=false,sek=true,t=[-d/2-abs(sin(winkel))*rad,rad]));
scale([sc,1])polygon(points,convexity=5);
}
HelpTxt("Strebe",["h",h,"d",d,"d2",d2,"rad",rad,"rad2",rad2,"sc",sc,"grad",grad,"skew",skew,"single",single,"angle",angle,"spiel",spiel,"fn",fn,"fn2",fn2,"name",name,"2D",str(2D,"/*2 for halb*/")],help);
}
module Bezier(
p0=[+0,+10,0],
p1=[15,-10,0],
p2,
p3=[0,-10,0],
w=1,//weighting
max=1.0,
min=+0.0,
fn=50,
fn2=fn,
ex,//extrude X
pabs=false, //p1/p2 absolut/relativ p0/p3
messpunkt=true,
mpRot,
twist=0,
scale=1,
hull=true,
points,
d,
name,
help
){
mpRot=is_undef(mpRot)?search(["RotEx"],parentList())[0]?true:
mpRot:
mpRot;
//echo(search(["RotEx"],parentList())[0],parentList());
messpunkt=is_bool(messpunkt)?messpunkt?pivotSize:0:messpunkt;//$info?messpunkt:0;
3D=is_list(points)||d&&!$children?true:false;
p0=v3(p0);
p3=v3(p3);
p1=v3(pabs?p1*w:v3(p1)*w+p0);
p2=is_undef(p2)?p1:v3(pabs?p2*w:v3(p2)*w+p3);
$fn=hull?fn:$fn;
$fa=fa;
$fs=fs;
if($children){
twist=v3(twist);
$helpM=0;
$info=is_undef(name)?is_undef($info)?false:$info:name;
step=((max-min)/fn);
for (t=[min:step:max-step]){
$rot=vektorWinkel(Bezier(t,p0,p1,p2,p3),Bezier(t+step,p0,p1,p2,p3))+twist/(max-step)*t;
$tab=true;
$idx=t;
if (hull) Color(1/(max-step)*t,$idxON=false)hull(){
translate(Bezier(t,p0,p1,p2,p3))rotate($rot)scale(1-(1-scale)/(max-step)*t)children();
union(){
$idx=t+step;
$rot=t>=max-step?vektorWinkel(p2,p3)+twist: // last segment
vektorWinkel(Bezier(t+step,p0,p1,p2,p3),Bezier(t+step*2,p0,p1,p2,p3))+twist/(max-step)*(t+step);
translate(Bezier(t+step,p0,p1,p2,p3))rotate($rot)scale(1-(1-scale)/(max-step)*(t+step))children();
}
}
else Color(1/(max-step)*t,$idxON=false)
translate(Bezier(t,p0,p1,p2,p3))rotate($rot)scale(1-(1-scale)/(max-step)*t)children();
}
}
if(!$children&&3D==false){
if (is_undef(ex)) polygon([for (t=[min:((max-min)/fn):(max+(max-min)/fn)-((max-min)/fn)])Bezier(t,
[p0[0],p0[1]],
[p1[0],p1[1]],
[p2[0],p2[1]],
[p3[0],p3[1]]
)]);
else polygon(concat(
[[0,p0[1]]],
[for (t=[min:((max-min)/fn):(max+(max-min)/fn)-((max-min)/fn)])Bezier(t,
[p0[0]+ex,p0[1]],
[p1[0]+ex,p1[1]],
[p2[0]+ex,p2[1]],
[p3[0]+ex,p3[1]] )],
[[0,p3[1]]]
));
}
if(3D){
points=is_undef(points)?kreis(d=d,rand=0,fn=fn2):points;
loop=len(points);
path=[for (t=[min:((max-min)/fn):(max+(max-min)/fn)-((max-min)/fn)])Bezier(t,
[p0[0],p0[1]],
[p1[0],p1[1]],
[p2[0],p2[1]],
[p3[0],p3[1]]
)];
PolyH(pathPoints(points=points,path=path,scale=scale,twist=twist),loop=loop);
}
if(messpunkt){
ex=is_undef(ex)?0:ex;
vpr=mpRot?[90,0,0]:$vpr;
Pivot(mpRot?[p0[0]+ex,0,p0[1]]:p0+[ex,0,0],messpunkt,txt="p0",vpr=vpr);
Pivot(mpRot?[p1[0]+ex,0,p1[1]]:p1+[ex,0,0],messpunkt/2,txt=str("p1",p1==p2?" ":""),vpr=vpr);
Pivot(mpRot?[p2[0]+ex,0,p2[1]]:p2+[ex,0,0],messpunkt/2,txt="p2",vpr=vpr);
Pivot(mpRot?[p3[0]+ex,0,p3[1]]:p3+[ex,0,0],messpunkt,txt="p3",vpr=vpr);
d=b(messpunkt,false)/20;
%Line(mpRot?[p0[0]+ex,0,p0[1]]:p0+[ex,0,0],mpRot?[p1[0]+ex,0,p1[1]]:p1+[ex,0,0],d=d,center=true);
%Line(mpRot?[p3[0]+ex,0,p3[1]]:p3+[ex,0,0],mpRot?[p2[0]+ex,0,p2[1]]:p2+[ex,0,0],d=d,center=true);
}
if(name&&!$children)Echo("No Bezier object using polygon!",color="green");
HelpTxt("Bezier",[
"p0",p0,
"p1",p1,
"p2",p2,
"p3",p3,
"w/*weighting*/",w,
"max",max,
"min",min,
"fn",fn,
"fn2",fn2,
"ex/*extrude X*/",ex,
"pabs/*p1/p2 absolut/relativ */",pabs,
"messpunkt",messpunkt,
"mpRot",mpRot,
"twist",twist,
"hull",hull,
"points",points?"points":undef,
"d/*for 3D*/",d,
"name",name]
,help);
}
module Line(p0=[0,0,0],p1=[10,10,0],d=.5,center=false,2D=false,text=false,fn=8,help=false){
p0=p0[2]==undef?concat(p0,[0]):p0;
p1=p1[2]==undef?concat(p1,[0]):p1;
p1t=p1-p0;
x= p1t[0]; y = p1t[1]; z = p1t[2]; // point coordinates of end of cylinder
length = norm([x,y,z]); // radial distance
b = length?acos(z/length):0; // inclination angle
c = atan2(y,x); // azimuthal angle
points=center?[-p1t+p0,p0,p1]:[p0,p1t/2+p0,p1]; // for d=0 1d polyhedron
if(d)
if(2D)translate(p0)rotate([0,b-90,c])translate([0,center?0:-d/2,0]) square([center?length*2:length,d],center=center?true:false);
else translate(p0)rotate([0, b, c])
cylinder(h=center?length*2:length,d=d,$fn=fn,center=center?true:false);
else polyhedron(points,[[0,1,2]]);
//Points(points);
if (text&&$preview)
%color("slategrey")translate(center?p0:p0+p1t/2)rotate($vpr)
text(str(runden(center?length*2:length,3),"mm"),size=b(text,false));
HelpTxt("Line",[
"p0",p0,
"p1",p1,
"d",d,
"center",center,
"2D",2D,
"text",text,
"fn",fn
],help);
}
module LineORG(p0=[0,0,0], p1=[10,10,0], d=.5,center=true) { //from https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Tips_and_Tricks
p0=p0[2]==undef?concat(p0,[0]):p0;
p1=p1[2]==undef?concat(p1,[0]):p1;
// Find the unitary vector with direction v. Fails if v=[0,0,0].
function unit(v) = norm(v)>0 ? v/norm(v) : undef;
// Find the transpose of a rectangular matrix
function transpose(m) = // m is any rectangular matrix of objects
[ for(j=[0:len(m[0])-1]) [ for(i=[0:len(m)-1]) m[i][j] ] ];
// The identity matrix with dimension n
function identity(n) = [for(i=[0:n-1]) [for(j=[0:n-1]) i==j ? 1 : 0] ];
// computes the rotation with minimum angle that brings a to b
// the code fails if a and b are opposed to each other
function rotate_from_to(a,b) =
let( axis = unit(cross(a,b)) )
axis*axis >= 0.99 ?
transpose([unit(b), axis, cross(axis, unit(b))]) *
[unit(a), axis, cross(axis, unit(a))] :
identity(3);
v = p1-p0;
translate(p0)
// rotate the cylinder so its z axis is brought to direction v
multmatrix(rotate_from_to([0,0,1],v))
cylinder(d=d, h=center?norm(v)*2:norm(v), $fn=12,center=center);
}
module Pivot(p0=[0,0,0],size,active=[1,1,1,1,1,1],messpunkt,txt,rot=0,vpr=$vpr,help=false){
messpunkt=is_undef(messpunkt)?is_undef($messpunkt)?true:$messpunkt:messpunkt;
p0=is_num(p0)?[p0,0]:p0;
size=is_undef(size)?is_bool(messpunkt)?pivotSize:messpunkt:size;
size2=size/+5;
if(messpunkt&&$preview)translate(p0)%union(){
if(active[3])rotate(rot) color("blue")cylinder(size,d1=.5*size2,d2=0,center=false,$fn=4);
if(active[2])rotate(rot) color("green")rotate([-90,0,0])cylinder(size,d1=.5*size2,d2=0,center=false,$fn=4);
if(active[1])rotate(rot) color("red")rotate([0,90,0])cylinder(size,d1=.5*size2,d2=0,center=false,$fn=4);
if(active[0]) color("yellow")sphere(d=size2*.6,$fn=12);
//Text
if(active[4]) %color("grey")rotate(vpr)
//linear_extrude(.1,$fn=1)
text(text=str(norm(p0)?p0:""," ",rot?str(rot,"°"):""," "),size=size2,halign="right",valign="top",font="Bahnschrift:style=light",$fn=1);
if(txt&&active[5])%color("lightgrey")rotate(vpr)translate([0,size/15])//linear_extrude(.1,$fn=1)
Tz(0.1) text(text=str(txt," "),size=size2,font="Bahnschrift:style=light",halign="right",valign="bottom",$fn=1);
HelpTxt("Pivot",[
"p0",p0,
"size",size,
"active",active,
"messpunkt",messpunkt,
"txt",txt,
"rot",rot,
"vpr",vpr]
,help);
}
}
module Achsenklammer(abst=10,achse=3.5,einschnitt=1,h=3,rand=n(2),achsenh=0,fn=fn,help){
achse=is_list(achse)?achse:[achse,achse];
achsenh=is_list(achsenh)?achsenh:[achsenh,achsenh];
if (achsenh[0])linear_extrude(achsenh[0]+h,convexity=5)T(-abst/2)circle(d=achse[0]+(achsenh[0]<0?.1:0),$fn=fn);
if (achsenh[1])linear_extrude(achsenh[1]+h,convexity=5)T(abst/2)circle(d=achse[1]+(achsenh[1]<0?0.1:0),$fn=fn);
linear_extrude(h,convexity=5)
difference(){
union(){
//if(achse[0]==achse[1])T((achse[1]-achse[0])/4)Halb(2D=1,y=1)Ring(0,(achse[0]+achse[1])/2+rand*2,abst,cd=0,2D=1,name=0,fn=fn,help=0); else
T((achse[1]-achse[0])/4)Kreis(d=(achse[0]+achse[1])/2+rand*2+abst,grad=180,rand=0,help=0,name=0,rot=-90);
T(abst/2)circle(d=achse[1]+rand*2,$fn=fn);
T(-abst/2)circle(d=achse[0]+rand*2,$fn=fn);
}
T(-(achse[1]-achse[0])/4)hull(){
T(y=-einschnitt*(achse[0]+achse[1])/2)circle(d=abst-((achse[0]+achse[1])/2+rand*2),$fn=fn);
T(y=einschnitt*(achse[0]+achse[1])/2)circle(d=abst-((achse[0]+achse[1])/2+rand*2),$fn=fn);
}
if(achsenh[0]<=0) T(-abst/2)circle(d=achse[0],$fn=fn);
if(achsenh[1]<=0) T( abst/2)circle(d=achse[1],$fn=fn);
}
HelpTxt("Achsenklammer",["abst",abst,"achse",achse,"einschnitt",einschnitt,"h",h,"rand",rand,"achsenh",achsenh,"fn",fn],help);
}
module Rund(or=+0,ir,chamfer=false,fn=fn) {
ir=is_undef(ir)?is_list(or)?or[1]:or:ir;
or=is_list(or)?or[0]:or;
chamfer=chamfer?true:false;
if(!chamfer)offset(r = or,$fn=fn)offset(r = -or,$fn=fn)
offset(r = -ir,$fn=fn)offset(r = ir,$fn=fn)
children();
if(chamfer)offset(delta = or,chamfer=chamfer)offset(delta = -or,chamfer=chamfer)
offset(delta = -ir,chamfer=chamfer)offset(delta = ir,chamfer=chamfer)
children();
MO(!$children);
}
module Ttorus(r=20,twist=360,angle=360,pitch=0,scale=1,r2,fn=fn,help){
scale=is_list(scale)?scale:[scale,scale,scale];
r2=is_undef(r2)?r:r2;
diff=r2-r;
for (i=[0:fn-1]){//(i=[0:360/fn:angle-.005]){
step=angle/fn;
rdiff=diff/fn;
j=i+1;//j=i+360/fn;
//$info=i?0:$info;
//$helpM=i?0:$helpM;
$idx=i;
Color(i/fn,$idxON=false) hull(){
rotate(i*step)translate([r+rdiff*i,0,i*pitch/360*abs(step)]) rotate([0,i*twist/360*step,0])scale([1,1,1]+(scale-[1,1,1])/fn*(i))children();
rotate(j*step)translate([r+rdiff*j,0,j*pitch/360*abs(step)]) rotate([0,j*twist/360*step,0])union(){
$info=false;
$helpM=false;
$idx=j;
scale([1,1,1]+(scale-[1,1,1])/fn*(j))children();
}
}
}
MO(!$children);
HelpTxt("Ttorus",[
"r",r,
"twist",twist,
"angle",angle,
"pitch",pitch,
"scale",scale,
"r2",r2,
"fn=",fn],help);
}
module Kontaktwinkel(winkel=50,d,baseD,r,center=true,2D=0,inv=false,centerBase=0,name,help){
grad=-winkel+90;
d=is_num(baseD)?(baseD/2)/sin(winkel)*2:is_undef(r)?is_undef(d)?0:d:2*r;
h=sin(grad)*d/2;
b=sqrt(pow(d/2,2)-pow(h,2));
viewportSize=is_undef(viewportSize)?1000:max(d*2,viewportSize);
centerBase=b(centerBase,false);
$d=d;
$r=d/2;
if(!2D){
if(!inv) Tz(centerBase==1?h:
centerBase==-1?-h:
0)intersection(){
children();
T(z=center?0:-h)cylinder(center?h*2:viewportSize,d=viewportSize,center=b(center,true),$fn=6);
}
if(inv)Tz(centerBase==1?-h:centerBase==-1?h:0) intersection(){
children();
difference(){
cube(viewportSize,center=true);
T(z=center?0:h-viewportSize)cylinder(center?h*2:viewportSize,d=viewportSize,center=b(center,true),$fn=6);
}
}
}
if(2D){
if(!inv)T(y=centerBase==1?h:centerBase==-1?-h:0)intersection(){
children();
T(center?0:-viewportSize/2,center?0:-h)square([viewportSize,center?h*2:viewportSize],center=b(center,true));
}
if(inv)T(y=centerBase==1?-h:centerBase==-1?h:0) intersection(){
children();
difference(){
square(viewportSize,center=true);
T(center?0:-viewportSize/2,center?0:h-viewportSize)square([viewportSize,center?h*2:viewportSize],center=b(center,true));
}
}
}
MO(!$children);
InfoTxt("Kontaktwinkel",["∅",d,"radius",r,"winkel",str(winkel,"°"),"Höhe",h,"Kontakt Radius",b,"2×",b*2],name);
HelpTxt("Kontaktwinkel",["winkel",winkel,"d",d,"baseD",baseD,"r",r,"center",center,"2D",2D,"inv",inv,"centerBase",centerBase,"name",name],help);
}
module Tring(spiel=+0,angle=153,r=5.0,xd=+0.0,h=1.75,top=n(2.5),base=n(4),name=0,help){
HelpTxt("Tring",["spiel",spiel,"angle",angle,"r",r,"xd",xd,"h",h,"top",top,"base",base,"name",name],help);
T(0,0,-spiel/2) scale([1.005,1,1]){rotate(-angle/2-180)rotate_extrude(angle=angle)T(r)Trapez(h=h+spiel,x1=base+spiel,x2=top+spiel,x2d=xd,d=+1+spiel,name=name);
T(0,0,1.25)rotate((360-angle)/2)T(r)R(90)linear_extrude(1,scale=0.7)T(0,-1.25)Trapez(h=h+spiel,x1=base+spiel,x2=top+spiel,x2d=xd,d=+1+spiel,name=name);
T(0,0,1.25)rotate((360-angle)/-2)T(r)R(90)mirror([0,0,1])linear_extrude(1,scale=0.7)T(0,-1.25)Trapez(h=h+spiel,x1=base+spiel,x2=top+spiel,x2d=xd,d=+1+spiel,name=name);
}
}
module Trapez (h=2.5,x1=6,x2=3.0,d=1,x2d=0,fn=36,rad,name,help){
d=is_undef(rad)?d:rad*2;
punkte=[
[-x2/2+d/2+x2d,h-d/2],
[x2/2-d/2+x2d,h-d/2],
[x1/2-d/2,d/2],
[-x1/2+d/2,d/2],
];
if(d) minkowski(){
polygon(punkte);
circle(d=d,$fn=fn);
}
if(!d)polygon(punkte);
//v=((x1+d)-(x2-d))/2/h;
v=((x1+d)-(x2+d))/2/(h-d);
if(name)echo(str(name," Trapez Steigung= ",v*100,"%-",atan(v),"°"));
HelpTxt("Trapez",["h",h,"x1",x1,"x2",x2,"d",d,"x2d",x2d,"fn",fn,"rad",rad],help);
}
module OctaH(r=1,n=0,d,help){
HelpTxt("OctaH",["r",r,"n",n,"d",d],help);
scaling=is_list(r)||is_list(d)?true:false; // if subdiv needs sep scaling
r=is_list(r)?[for(i=[0:5]) i%2? -abs(r[i]): // neg quadrant
abs(r[i])]: //pos quadrants
is_undef(d)?[r, -r, r, -r, r, -r]:
is_list(d)? [d.x /2, -d.x /2,
d.y /2, -d.y /2,
d.z /2, -d.z /2]:
[d /2, -d /2, d /2, -d /2, d /2, -d /2];
faces=[
[0,2,4],
[2,1,4],
[1,3,4],
[3,0,4],
[2,0,5],
[1,2,5],
[3,1,5],
[0,3,5],
];
if(n==0)polyhedron(octa(r),faces);
else OctaSphere(r,n,d);
module OctaSphere(r=10,n=10,d){
// based on Hans Loeblich alternative spheres
// https://github.com/thehans/FunctionalOpenSCAD
// MIT license
data=sphere_subdiv(divs=max(1,floor(n/4)), poly=OCTAHEDRON(1));
polyhedron(data[0],data[1]);
// sum a vector of vectors. vsum([]) == undef
function vsum(v,i=0) = len(v)-1 > i ? v[i] + vsum(v, i+1) : v[i];
// angle between two vectors (2D or 3D)
function anglev(v1,v2) = acos( (v1*v2) / (norm(v1)*norm(v2) ) );
function flatten(l) = [ for (a = l) for (b = a) b ];
//function unit(v) = v / norm(v); // convert vector to unit vector
// spherical linear interpolation
function slerp(p0,p1,t) = let(a = anglev(p0,p1)) (sin((1-t)*a)*p0 + sin(t*a)*p1) / sin(a);
function OCTAHEDRON(r) = [octa(r),faces];
// [ [[0,0,r[5]],[r[0],0,0],[0,r[2],0],[r[1],0,0],[0,r[3],0],[0,0,r[4]]],
// [ [0,3,4],[0,1,2],[0,2,3],[0,4,1],
// [5,2,1],[5,3,2],[5,4,3],[5,1,4] ] ];
// subdivide faces, splitting edges into integer number of divisions
// input faces must be triangles with vertices on the unit sphere
function sphere_subdiv(divs=1, poly) =
let(
R = r[0],//d == undef ? r : d/2, // optional radius or diameter
d = divs, // shorthand
pv = poly[0], // points vector
tv = poly[1], // triangle index vector
newpoints = [for (t = tv) let(p = [pv[t[0]], pv[t[1]], pv[t[2]]])
for (i=[0:1:d], j=[0:1:d-i]) if (i+j!=0 && i!=d && j!=d) // skip original corner points
let(subv=[for (vi=[0:2]) let(k=d-i-j, ii=[i,j,k],
j1=ii[(vi+1)%3], n=ii[vi]+j1,
p0=p[vi], p1=p[(vi+1)%3], p2=p[(vi+2)%3],
p_i=slerp(p0,p1,n/d), p_j=slerp(p0,p2,n/d)
) slerp(p_i,p_j,j1/n)
])
vsum(subv)
],
Tn = function(n) n*(n+1)/2, // triangular numbers
Td = Tn(d+1), // total points for subdivided face
np = Td - 3, // new points per original face
lp = len(pv),
allpoints = concat(pv, newpoints/3),
// Given original triangle point indices t,
// and indices i,j for subdivided basis vectors, { i => (tri[0],tri[1]), j => (tri[0],tri[2]) }
// convert to absolute point index of resulting full point set.
pij = function(n,t,i,j) i+j==0 ? t[0] : i==d ? t[1] : j==d ? t[2] :
lp + n*np + Td - Tn(d+1-i) + j - (i==0 ? 1 : 2),
faces = flatten([for (n = [0:1:len(tv)-1]) let(t = tv[n]) [
for (i=[0:1:d-1], j=[0:1:d-1-i]) [ pij(n,t,i,j), pij(n,t,i+1,j), pij(n,t,i ,j+1) ],
for (i=[1:1:d-1], j=[0:1:d-1-i]) [ pij(n,t,i,j), pij(n,t,i,j+1), pij(n,t,i-1,j+1) ]
] ])
)[scaling?[for(i=[0:len(allpoints)-1])[
allpoints[i].x>0?allpoints[i].x*r[0]:allpoints[i].x*-r[1],
allpoints[i].y>0?allpoints[i].y*r[2]:allpoints[i].y*-r[3],
allpoints[i].z>0?allpoints[i].z*r[4]:allpoints[i].z*-r[5],
]]
:R*allpoints
, faces];
}
}
module Prisma(x1=12,y1,z=6,c1=5,s=1,x2,y2,x2d=0,y2d=0,c2=0,vC=[0,0,1],cRot=0,fnC=fn,fnS=36,center=false,name,help){
s=abs(s);
helpX1=x1;
helpY1=y1;
helpX2=x2;
helpY2=y2;
helpZ=z;
x=is_list(x1)?x1[0]:x1;
y=is_list(x1)?x1[1]:is_undef(y1)?x1:y1;
hErr=s/2-cos(90/ceil(fnS/2))*s/2+.00001; // missing sphere piece
z=is_undef(x1[2])?z+hErr*2:x1[2]+hErr*2;
c1=min(c1,x,y);
cylinderh=c1?minVal:0;
x1=c1-s>0?vC[1]?max(x-cylinderh-s,minVal):max(x-c1,minVal):max(x-s,minVal);
y1=c1-s>0?vC[0]?max(y-cylinderh-s,minVal):max(y-c1,minVal):max(y-s,minVal);
h=vC[0]||vC[1]?c1?max(z-c1,minVal):max(z-s,minVal):c2?minVal:z-s-cylinderh;
//h=z-s-cylinderh;
cylinderd2=c2?c2:c1;
y2=is_list(x2)?c1-s>0?vC[0]?max(x2[1]-cylinderh-s,minVal):max(x2[1]-c1,minVal):max(x2[1]-s,minVal)
:is_undef(y2)?y1:c1-s>0?vC[0]?max(y2-cylinderh-s,minVal):max(y2-c1,minVal):max(y2-s,minVal);
x2=is_undef(x2)?x1
:is_list(x2)?c1-s>0?vC[1]?max(x2[0]-cylinderh-s,minVal):max(x2[0]-c1,minVal):max(x2[0]-s,minVal):c1-s>0?vC[1]?max(x2-cylinderh-s,minVal):max(x2-c1,minVal):max(x2-s,minVal);
CubePoints = [
[-x1/2,-y1/2, 0 ], //0
[ x1/2,-y1/2, 0 ], //1
[ x1/2, y1/2, 0 ], //2
[-x1/2, y1/2, 0 ], //3
[-x2/2+x2d,-y2/2+y2d, h ], //4
[ x2/2+x2d,-y2/2+y2d, h ], //5
[ x2/2+x2d, y2/2+y2d, h ], //6
[-x2/2+x2d, y2/2+y2d, h ]]; //7
CubeFaces = [
[0,1,2,3], // bottom
[4,5,1,0], // front
[7,6,5,4], // top
[5,6,2,1], // right
[6,7,3,2], // back
[7,4,0,3]]; // left
translate([0,0,vC[0]||vC[1]?c1?c1/2:s/2:s/2+minVal/2-(center?z/2:hErr)])minkowski(){
polyhedron( CubePoints, CubeFaces,convexity=5 );
rotate(a=90,v=vC)rotate(cRot)cylinder(c2?max(z-s-minVal,minVal):minVal,d1=c1-s,d2=cylinderd2-s,center=c2?false:true,$fn=fnC);
sphere(d=s,$fn=fnS);//OctaH(d=s,n=fnS);//
}
vx=((x1+s)-(x2+s))/2/(z-s);
vy=((y1+s)-(y2+s))/2/(z-s);
InfoTxt("Prisma",["SteigungX/Y",str(vx*100,"/",vy*100,"%"),"grad",str(atan(vx),"/",atan(vy),"°")],name);
if(s>z)Echo(str(" »»» ",name," Prisma s>z!«««"),color="red");
if(s>c1&&c1)Echo(str("»»» ",name," Prisma s>c1! ⇒ C-Rundung = s ««« "),color="warning");
HelpTxt("Prisma",["x1",helpX1,",y1",helpY1,",z",z,"c1",c1,"s",s,"x2",helpX2,"y2",helpY2,"x2d",x2d,"y2d",y2d,"c2",c2,"vC",vC,"cRot",cRot,"fnC",fnC,",fnS",fnS,"center",center,"name",name],help);
}
module Sichel(h=1,start=55,max=270,dia=33,radius=30,delta=-1,step=5,2D=false,fn=36,help){
if(!2D&&h) for (i=[start:step:max]){
j=i+step;
Color(i/max)hull(){
rotate(i) T(radius+delta*i/max*dia/2)cylinder(h,d=i/max*dia,$fn=fn);
rotate(j) T(radius+delta*j/max*dia/2)cylinder(h,d=j/max*dia,$fn=fn);
}
}
if(2D||!h) for (i=[start:step:max]){
j=i+step;
Color(i/max)hull(){
rotate(i) T(radius+delta*i/max*dia/2)circle(d=i/max*dia,$fn=fn);
rotate(j) T(radius+delta*j/max*dia/2)circle(d=j/max*dia,$fn=fn);
}
}
HelpTxt("Sichel",[
"h",h,
"start",start,
"max",max,
"dia",dia,
"radius",radius,
"delta",delta,
"step",step,
"2D",2D,
"fn",fn], help);
}
module Balg(sizex=16,sizey=16,z=10.0,kerb=6.9,rand=-0.5,help){
HelpTxt("Balg",["sizex",sizex,"sizey",sizey,"z",z,"kerb",kerb,"rand",rand],help);
//Y Falz
T(z=z+z/2)difference(){
cube([sizex,sizey,z],true);
Klon(tx=50-kerb/2+sizex/2)rotate(45) Mklon(tz=-minVal)Kegel(fn=4,d1=Hypotenuse(100,100),d2=Hypotenuse(100-kerb,100-kerb),name=0);
Mklon(ty=sizey/2+50-kerb/2,mz=0)difference(){
rotate(45)Mklon(tz=-minVal)Kegel(fn=4,d1=Hypotenuse(100,100),d2=Hypotenuse(100-kerb,100-kerb),name=0);
Mklon(tx=sizex/2+59.0+rand,mz=0)T(0,-54.4) Mklon(tz=-minVal,rz=+0)rotate(+0)Kegel(fn=4,d1=Hypotenuse(100,100),d2=Hypotenuse(100-kerb,100-kerb),v=1.4,name=0);
}
}
//X falz
T(z=z/2)difference(){
cube([sizex,sizey,z],true);
Mklon(ty=sizey/2+50-kerb/2,mz=0)rotate(45)Mklon(tz=-minVal)Kegel(fn=4,d1=Hypotenuse(100,100),d2=Hypotenuse(100-kerb,100-kerb),name=0);
Mklon(tx=50-kerb/2+sizex/2,mz=0) difference(){
rotate(45) Mklon(tz=-minVal)Kegel(fn=4,d1=Hypotenuse(100,100),d2=Hypotenuse(100-kerb,100-kerb),name=0);
Mklon(ty=(sizey/2+59+rand)/1+0,mz=0) T(-54.4) Mklon(tz=-minVal,rz=+0)rotate(+0)Kegel(fn=4,d1=Hypotenuse(100,100),d2=Hypotenuse(100-kerb,100-kerb),v=1.4,name=0);
}
}
}
module Area(a=10,aInnen=0,rInnen=0,h=0,name,help){
//a=PI*pow(r,2);
rInnen=aInnen?sqrt(aInnen/PI):rInnen;
aInnen=aInnen?aInnen:PI*pow(rInnen,2);
rAussen=sqrt((aInnen+a)/PI);
if(!h) difference(){
circle(rAussen);
circle(rInnen);
}
if(h) linear_extrude (h,convexity=5)difference(){
circle(rAussen);
circle(rInnen);
}
InfoTxt("Area",["Durchmesseraussen",2*rAussen,"Innen",rInnen*2,"Fläche",a,"Innen",aInnen],name);
HelpTxt("Area",["a",a,"aInnen",aInnen,"rInnen",rInnen,"h",h,"name",name],help);
}
module Spirale(grad=400*1,diff=2,radius=10,rand=n(2),$d,detail,fn=fn,exp=1,center=false,hull=true,end=2,old=false,name,help){
detail=fn;//compatibility
advance=grad/detail;
rand=is_undef($d)?rand:$d;
$d=rand;
points=!$children?center?[
for(i=[0:fn])RotLang(i*-grad/fn,diff/2/360*grad+radius-rand/2-pow(i*(diff/360*grad)/(fn),exp)),
for(i=[fn:-1:0])RotLang(i*-grad/fn,diff/2/360*grad+radius+rand/2-pow(i*(diff/360*grad)/(fn),exp))]
:[// center=false
for(i=[0:fn])RotLang(i*-grad/fn,radius-rand/2-pow(i*(diff/360*grad)/(fn),exp)),
for(i=[fn:-1:0])RotLang(i*-grad/fn,radius+rand/2-pow(i*(diff/360*grad)/(fn),exp))]
:[0];// $children=true ⇒ deactivate point calculation
if(!$children&&!old)rotate(center?-grad/2:0)union(){
rotate(-90) polygon(points);
if(end>0) rotate(0)T((center?diff/2/360*grad:0)+radius-pow(0*diff,exp))circle(d=rand,$fn=36);
if(end<0||end==2) rotate(grad)T((center?diff/2/360*grad:0)+radius-pow(grad/360*diff,exp))circle(d=rand,$fn=36);
}
if(!$children&&old)// compatibility old version
for(i=[center?-grad/2:0:advance:(center?grad/2:grad)-minVal]){
j=i+advance;
Color(i/((center?grad/2:grad)-minVal))hull(){
rotate(i)T(radius-pow(i/360*diff,exp))circle(d=rand,$fn=36);
rotate(j)T(radius-pow(j/360*diff,exp))circle(d=rand,$fn=36);
}
}
if ($children) for(i=[center?-grad/2:0:advance:(center?grad/2:grad)-minVal]){
j=i+advance;
$idx=i;
if(hull) Color(i/((center?grad/2:grad)-minVal),$idxON=false) hull(){
rotate(i)T(radius-pow(i/360*diff,exp))children();
rotate(j)T(radius-pow(j/360*diff,exp))union(){$idx=j;children();}
}
else rotate(i)T(radius-pow(i/360*diff,exp))children();
}
lang=(radius*PI+((radius-diff)*PI))/360*grad;
InfoTxt("Spirale",["Länge ca.",lang],name);
HelpTxt("Spirale",[
"grad",grad,
"diff",diff,
"radius",radius,
"rand",rand,
"$d",$d,
//detail=",detail,"
"fn",fn,
"exp",exp,
"center",center,
"hull",hull,
"end",end,
"old",old,
"name",name],
help);
}
module ReuleauxIntersect(h=2,rU=5,2D=false,help){
HelpTxt("ReuleauxIntersect",["h",h,"rU",rU,"2D",2D],help);
teilradius=rU/(sqrt(3)/3);
rI=teilradius-rU;
if(2D)union()
{
Polar(3,n=0)intersection(){
T(rU)circle(r=rU);
rotate(120)T(rU)circle(r=rU);
}
difference(){
circle(r=rU*0.521);
Polar(3,rU,n=0)circle(r=rI);
}
}
if(!2D)linear_extrude(height=h,convexity=10,center=true){
union()
{
Polar(3,n=0)intersection(){
T(rU)circle(r=rU);
rotate(120)T(rU)circle(r=rU);
}
difference(){
circle(r=rU*0.521);
Polar(3,rU,n=0)circle(r=rI);
}
}
}
}
module Box(x=8,y,z=5,d2,c=3.5,s=1.5,eck=4,outer=true,fnC=36,fnS=24,help){
red=c>s?c:s;
x=is_num(y)||outer?x:
Umkreis(eck,x-red)+red;
d2=is_undef(d2)?x:
outer?d2:
Umkreis(eck,d2-red)+red;
hErr=s/2-cos(90/ceil(fnS/2))*s/2+.00001; // missing sphere piece
z=z+hErr*2;
T(z=z/2-hErr) minkowski(){
if(is_num(y))cube([x -red, y -red, z-s-minVal],center=true);
else cylinder(h=z -s -minVal, d1=x -red, d2=d2 -red, $fn=eck, center=true);
if(c>s)cylinder(minVal,d=c-s,center=true,$fn=fnC);
//OctaH(d=s,n=fnS);
sphere(d=s,$fn=fnS);
}
HelpTxt("Box",["x",x,"y",y,"z",z,"d2",d2,"c",c,"s",s,"eck",eck,"outer",outer,"fnC",fnC,"fnS",fnS],help);
}
module Bogendreieck(rU=5,vari=-1,fn=fn,name){//-1 vari minus mehr bauch weniger ecken
rU=rU;
teilradius=rU/(sqrt(3)/3);
rI=teilradius-rU;
segment=sqrt(pow(rU,2)-pow(rU/2,2));
hoheh= sqrt(pow(teilradius+vari,2)-pow(segment,2));
verschieb= hoheh-rU/2;
if(name)echo(str(name," Bogendreieck Teilradius Abweichung von Reuleauxoptimum= ",vari));
intersection_for(i = [0,120,240]){
rotate(i)T(verschieb)circle (r=teilradius+vari,$fn=fn);
}
}
module Reuleaux(rU=5,name,fn=fn){
r=rU/(sqrt(3)/3);
intersection_for (i=[0,120,240])
{
rotate(i)T(rU) circle(r=r,$fn=fn);
}
if(name)echo(str(name," Reuleaux rU=",rU," r=",r));
}
module Tugel(
dia=40,
loch=+24.72,
scaleKugel=1,
scaleTorus=1,
rand,
name,
help
){
Halb()scale([1,1,scaleTorus])Torus(dia=dia,d=rand?rand:dia/2-loch/2,name=name);
Halb(1)scale([1,1,scaleKugel])Kugelmantel(d=dia,rand=rand?rand:dia/2-loch/2);
HelpTxt("Tugel",[
"dia",dia,
"loch",loch,
"scaleKugel",scaleKugel,
"scaleTorus",scaleTorus,
"rand",rand,
"name",name,],help);
}
module Vorterantrotor(h=40,twist=360,scale=1,zahn=0,rU=10,achsloch=4,ripple=0,caps=2,caps2=0,capdia=6.5,capdia2=0,screw=1.40,screw2=0,screwrot=60,name,help)
{
capdia2=capdia2?capdia2:capdia;
caps2=caps2?caps2:caps;
r=rU/(sqrt(3)/3);
s= h/(rU*PI*2*(twist/360));
rI=r-rU;
InfoTxt("Vorterantrotor",["Umkreis ∅",2*rU,"Teilradius",r,"Innen∅",rI*2,"Steigung",str(s*100,"%")," Winkel",str(atan(s),"°")],name);
HelpTxt("Vorterantrotor",["h","40,twist=360,scale=1,zahn=0,rU=10,achsloch=4,ripple=0,caps=2,caps2=0,capdia=6.5,capdia2=0,screw=1.40,screw2=0,screwrot=60"],help);
if(zahn)
{
Col(3)T(z=h+2*caps)stirnrad(modul=1.5, zahnzahl=zahn, hoehe=1.5, bohrung=achsloch, eingriffswinkel = 20, schraegungswinkel = 0);
}
difference()
{
T(z=caps)union()
{
if (caps)T(z=h)rotate(-twist) hull()//Endcap oben
{
intersection_for (i=[0,120,240])
{
rotate(i)T(rU) cylinder(0.01,r=r);
}
T(z=caps2){
if(!screw2)cylinder(0.01,d=capdia2);
if(screw2)rotate(screwrot)intersection_for (i=[0,120,240])
{
rotate(i)T(rU*screw2) cylinder(0.01,r=r);
}}
}
T(z=0) hull()//Endcap unten
{
T(z=-0.01) intersection_for (i=[0,120,240])
{
rotate(i)T(rU) cylinder(0.01,r=r);
}
T(z=-caps){
if(!screw)cylinder(0.01,d=capdia);
if(screw)rotate(screwrot)intersection_for (i=[0,120,240])
{
rotate(i)T(rU*screw) cylinder(0.01,r=r);
}}
}
linear_extrude(h,twist=twist,scale=scale,convexity=5)//Läufer
difference()
{
intersection_for (i=[0,120,240])
{
rotate(i)T(rU) circle(r=r);
}
circle(d=achsloch);//centerloch
}
}
if(ripple)cylinder(200,d=6,center=true);//center
if(ripple) Linear(e=50,s=73,x=0,z=1)Torus(+2,2.8,fn2=6,n=0,fn=50);//center ripple
cylinder(200,d=achsloch,center=true);//center
}
}
module Kassette(r1=2,r2,size=20,h=0,gon=3,fn=fn,fn2=36,r=+0,grad=90,grad2=90,spiel=0.003,mitte=true,sizey=0,basis=1,2D=false,name,help)
{
r2=is_undef(r2)?r1:r2;
HelpTxt("Kassette",["r1",r1,"r2",r2,"size",size,"h",h,"gon",gon,"fn",fn,",fn2=",fn2,"r",r,"grad",grad,"grad2",grad2,"spiel",spiel,"mitte",mitte,"sizey",sizey,"basis",basis,"2D",2D,"name",name],help);
if(help){
echo("r1 r2 size — radius unten, oben und durchmesser");
echo("h gon fn fn2 r — höhenzusatz, ecken, fn, fn2 des profils und eckradius");
echo(" spiel mitten sizey name— , spielüberlappung Innenpolygon, mitten loch bei gon=2 und y-weite bei gon=4, name=name für Info");
}
sizey=sizey?sizey:is_list(size)?size.y:size;
size=is_list(size)?size.x:size;
r1I=min(r1,size/2-2*r2);//unten innen radius when mitte=1
points=concat(
kreis(r=r1,grad=-90,fn=fn2/4,rand=0,rot=-90,center=false,t=[size/2+r1,r1]), //r1 unten
[[r1+size/2,-basis]], //unten aussen
[[0,-basis]],//unten mitte
[mitte?[0,r1+r2+h]:[0,0]], //oben mitte
mitte?[[size/2-r2,r1+r2+h]]:Kreis(r=r1I,grad=-90,fn=fn2/4,rand=0,rot=+180,center=false,t=[size/2-r2*2-r1I,r1I]),
kreis(r=r2,rot=mitte?0:-90,grad=mitte?90:180,fn=mitte?fn2/4:fn2/2,rand=0,center=false,t=[size/2-r2,h+r1])// r2 oben
);
if(2D)polygon(points,convexity=5);
else{
if(gon>2)
Rundrum(eck=gon,r=r,x=(size-r2*2)/(gon==4?1:2),y=(sizey-r2*2),fn=fn,grad=grad,grad2=grad2,help=0,name=name)intersection(){
T(-size/2+r2)polygon(points,convexity=5);
if(mitte) translate([-r,-250])square(500);
}
if(gon<3)RotEx(help=0,fn=fn)polygon(points,convexity=5);
if(mitte&&gon>2){
if(gon!=4)translate([0,0,-basis])rotate(gon==4?45:0)linear_extrude(basis+h+r2+r1,convexity=5)
Rund(r,fn=fn)circle(r=Umkreis(gon,(size-r2*2))/2+spiel,$fn=gon);
if(gon==4)translate([0,0,-basis])linear_extrude(basis+h+r2+r1,convexity=5)offset(spiel)Quad(x=size-r2*2,y=sizey-r2*2,grad=grad,grad2=grad2,r=r,help=0,name=0,fn=fn);
}
}
if(name)echo(str(is_bool(name)?"":"<H3>",name," Kassette - Höhe=",h+r1+r2,"mm (+",basis," basis)"));
if(h<0)echo(str("<H2><font color=red>",name," Kassette h=",h,"mm ⇒ NEGATIV!"));
}
module Drehpunkt(x=0,rz=0,rx=0,ry=0,y=0,z=0,messpunkt=messpunkt,help)
{
y=is_list(x)?x[1]:y;
z=is_undef(x[2])?z:x[2];
x=is_list(x)?x[0]:x;
translate([x,y,z])rotate([rx,ry,rz])translate([-x,-y,-z])children();
if(messpunkt)
{
if(rz)%color("blue")translate([x,y,z])cylinder(20,d=.5,center=true,$fn=12);
if(ry)%color("green")translate([x,y,z])rotate([0,0,rz])rotate([90,0,0])cylinder(20,d=.5,center=true,$fn=12);
if(rx)%color("red")translate([x,y,z])rotate([rx,ry,rz])rotate([0,90,0])cylinder(20,d=.5,center=true,$fn=12);
%color("yellow")translate([x,y,z])sphere(d=1,$fn=12);
}
MO(!$children);
HelpTxt("Drehpunkt",[
"x",x,
"rz",rz,
"rx",rx,
"ry",ry,
"y",y,
"z",z,
"messpunkt",messpunkt],
help);
}
module Rohr(grad=90,rad=5,d=8,l,l1=10,l2=12,fn=fn,fn2=fn,rand=n(2),name,center=true,messpunkt=messpunkt,spiel=-minVal,help)
{
Bogen(grad=grad,rad=rad,l=l,l1=l1,l2=l2,fn=fn,name=name,help=0,center=center,messpunkt=messpunkt,spiel=spiel)polygon( kreis(r=d/2,rand=rand,fn=fn2));
HelpTxt(titel="Rohr",string=["grad",grad,"rad",rad,"d",d,"l",l,"l1",l1,"l2",l2,"fn",fn,"fn2",fn2,"rand",rand,"name",name,"center",center,"messpunkt",messpunkt,"spiel",spiel],help=help);
InfoTxt(name="Rohr",string=concat(rand>0?["ID",d-rand*2]:["OD",d-rand*2],["d",d]),info=name);
}
module Kugelmantel(d=20,rand=n(2),fn=fn,help)
{
difference()
{
sphere(d=d,$fn=fn);
sphere(d=d-2*rand,$fn=fn);
}
HelpTxt("Kugelmantel",["d",d,
"rand",rand,
"fn",fn,
],help);
}
module Kegelmantel(d=10,d2=5,v=1,rand=n(2),loch=4.5,grad=0,h=0,center=false,fn=fn,name,help)
{
v=grad?tan(grad):v;
translate([0,0,center?d>d2?(d2-d)/4*v:(d-d2)/4*v:0]) difference()
{
Kegel(d1=d,d2=d2,v=v,h=h,name=name,fn=fn);
//T(z=-.001) Kegel(d1=d-2*rand,d2=0,v=v,n=0);
if(d2<d)T(z=-rand*v) Kegel(d1=d,d2=0,v=v,name=0,fn=fn);
if(d<d2)T(z=-d2/2*v+((d2-d)/2*v)+rand*v) Kegel(d1=0,d2=d2,v=v,name=0,fn=fn);
cylinder(1000,d=loch,center=true,$fn=fn);
}
InfoTxt("Kegelmantel",["wandstärke", sin(atan(v))*rand],name);
HelpTxt("Kegelmantel",[
"d",d,
"d2",d2,
"v",v,
"rand",rand,
"loch",loch,
"grad",grad,
"h",h,
"center",center,
"fn",fn,
"name",name],
help);
}
module Gardena(l=+10,r=8.5,ir=4.5,help)
{
HelpTxt("Gardena",["l",l,"r",r,"ir",ir],help);
T(z=1)Kehle(rad=1,dia=19.8,fn2=24);
rotate_extrude(convexity=5,$fn=fn)Rund(.5,fn=24)
{
//T(8-1.5,23.5)circle(r=1.5);//16 mm rund ende
T(ir,22.5)Quad(8-ir,2.5,r=[1,2,0,0],center=false,fn=24);//Top
difference()//Dichtungsnut
{
T(ir,15)square([8-ir,7.5]);
//T(8.0,20.5)circle(d=3.2); //Dichtnut
T(8.0,20.5)rotate(90)Quad(3.2,4.5,help=0,grad=101,grad2=79,r=1.40,fn=24);
}
difference()//Kehle
{
T(ir)square([9.9-ir,15]);
//%T(5)square([4.9,15]);
T(17.5,11.50)circle(r=10,$fn=72);
polygon([[+0,0],[+0,30],[r,0]]);
}
T(6.20,15.0)Halb(2D=true,x=1)rotate(45/2)circle(2.5,$fn=8);//Fase Dichtung
//T(5,15)square([8.5-5,1]);//17mmDichtrand
T(r)square([15-r,1]);//30mmRand
T(r)square([9.9-r,5]);//20mmRand
difference()
{
T(r)mirror([0,1])square([15-r,l]);//30mmKörper
polygon([[+0,-15],[0,0],[+7+r,-25+r]]);
polygon([[+13,-10],[+16,-5],[+20,-20]]);
}
}
}
module Kehle(rad=2.5,dia,l=20,angle=360,grad=0,a=90,ax=90,fn=fn,fn2=fn,r2=0,spiel=spiel,center=false,2D=false,end=false,fase=false,fillet,help)
{
2D=is_parent(needs2D)?true:2D;
fillet=is_list(fillet)?fillet:[fillet,fillet];
fase=is_bool(fase)?fase?1:0:fase;
end=is_bool(end)?end?1:0:end;
angle=grad?grad:angle;
spiel=is_list(spiel)?spiel:[spiel,spiel];
center=center?true:false;
$info=false;
if(is_undef(dia)&&l&&!2D){
difference(){
Tz(fase&&$preview?.05:0)linear_extrude(height=l -(fase&&$preview?.1:0),$fn=fn,convexity=5,center=center)
{
difference()
{
translate([-spiel[0],-spiel[1]]) square([sin(-90+ax)*rad+rad+spiel[0],sin(a-90)*rad+rad+spiel[1]]);
T(rad,rad)rotate(r2)circle(rad,$fn=fn2);
}
}
if(fase)T(x=rad,y=rad)Tz(center?-l/2:0)Kegel(d2=0,d1=Hypotenuse(rad+spiel[0],rad+spiel[1])*2,fn=fn2);
if(fase>1)T(x=rad,y=rad)Tz(center?l/2:l)R(180)Kegel(d2=0,d1=Hypotenuse(rad+spiel[0],rad+spiel[1])*2,fn=fn2);
}
if(is_num(fillet[0]))intersection(){
Tz(center?-l/2:0)R(45,90)T(0,-fillet[0])RotEx(90,cut=true,fn=fn/360*90)T(fillet[0])rotate(-45)Kehle(2D=true,a=ax,ax=a,fn2=fn2,rad=rad,spiel=spiel);
T(-spiel[0],-spiel[1],-500)cube([rad+spiel[0],rad+spiel[1],600]);
}
if(is_num(fillet[1]))intersection(){
Tz(center?l/2:l)R(-45,-90)T(0,-fillet[1])RotEx(90,cut=true,fn=fn/360*90)T(fillet[1])rotate(-45)Kehle(2D=true,a=a,ax=ax,fn2=fn2,rad=rad,spiel=spiel);
T(-spiel[0],-spiel[1],l-100)cube([rad+spiel[0],rad+spiel[1],600]);
}
if(end==2)R(x=-90)T(y=center?0:-l/2) MKlon(ty=l/2)RotEx(grad=90,cut=1,fn=fn)Kehle(a=a,ax=ax,rad=rad,spiel=spiel,2D=true,fn2=fn2,help=false);
if(end==-2)R(x=-90)T(y=center?0:-l/2) MKlon(ty=l/2)R(90,0,90)RotEx(grad=90,cut=1,fn=fn)Kehle(a=ax,ax=a,rad=rad,spiel=spiel,2D=true,fn2=fn2);
if(end==1)Tz(center?-l/2:0)R(-90)RotEx(grad=90,cut=1,fn=fn)Kehle(a=a,ax=ax,rad=rad,spiel=spiel,2D=true,fn2=fn2);
}
if(2D)difference(){
translate([-spiel[0],-spiel[1]]) square([sin(-90+ax)*rad+rad+spiel[0],sin(a-90)*rad+rad+spiel[1]]);
T(rad,rad)rotate(r2)circle(rad,$fn=fn2);
}
// dia
if(!is_undef(dia)&&!2D){rotate(center?-180-angle/2:0)difference(){
rotate(fase&&$preview?.05:0)rotate_extrude(angle=angle-(fase&&$preview?.1:0),$fn=fn,convexity=5)
difference()
{
T(dia/2)translate([-spiel[0],-spiel[1]])square([sin(-90+ax)*rad+rad+spiel[0],sin(a-90)*rad+rad+spiel[1]]);
T(dia/2)T(rad,rad)rotate(r2)circle(rad,$fn=fn2);
if(dia>-rad*2)T(-200,-100)square(200);
}
if(fase&&angle)T(dia/2+rad,z=rad)R(-90*sign(dia))Kegel(d2=0,d1=Hypotenuse(rad+spiel[0],rad+spiel[1])*2,fn=fn2);
if(fase>1&&angle)rotate(angle)T(dia/2+rad,z=rad)R(90*sign(dia))Kegel(d2=0,d1=Hypotenuse(rad+spiel[0],rad+spiel[1])*2,fn=fn2);
}
if(angle)rotate(center?-180-angle/2:0){
if(is_num(fillet[0]))intersection(){// fillet[0]
T(dia/2,minVal*sign(dia))R(45,0,-90)T(0,-fillet[0])rotate(dia<0?[0,0,90]:[0])RotEx(90,cut=true,fn=fn/360*90)T(fillet[0])rotate(-45)Kehle(2D=true,a=a,ax=ax,fn2=fn2,rad=rad,spiel=spiel);
RotEx()T(dia/2)translate([-spiel[0],-spiel[1]])square([rad+spiel[0],rad+spiel[1]]);
}
if(is_num(fillet[1]))intersection(){// fillet[1]
rotate(angle)T(dia/2,-minVal*sign(dia))rotate([135,0,90])T(0,-fillet[1])R(z=dia<0?90:0)RotEx(90,cut=true,fn=fn/360*90)T(fillet[1])rotate(-45)Kehle(2D=true,a=ax,ax=a,fn2=fn2,rad=rad,spiel=spiel);
RotEx()T(dia/2)translate([-spiel[0],-spiel[1]])square([rad+spiel[0],rad+spiel[1]]);
}
if(end>0) T(dia/2,+minVal*sign(dia)) rotate(dia<0?0:-90) RotEx(grad=90,cut=1,fn=fn)Kehle(a=a,ax=ax,rad=rad,spiel=spiel,2D=true,fn2=fn2);
if(end==2) rotate(angle)T(dia/2,-minVal*sign(dia))rotate(dia<0?-90:0) RotEx(grad=90,cut=1,fn=fn)Kehle(a=a,ax=ax,rad=rad,spiel=spiel,2D=true,fn2=fn2);
if(end<0) T(dia/2,minVal*sign(dia)) rotate(-90) R(-90,dia<0?-180:-90)RotEx(grad=90,cut=1,fn=fn)Kehle(a=ax,ax=a,rad=rad,spiel=[spiel.y,spiel.x],2D=true,fn2=fn2);
if(end==-2) rotate(angle)T(dia/2,-minVal*sign(dia))R(dia<0?-180:90)R(y=90) RotEx(grad=90,cut=1,fn=fn)Kehle(a=ax,ax=a,rad=rad,spiel=[spiel.y,spiel.x],2D=true,fn2=fn2);
}
}
HelpTxt("Kehle",["rad",rad,"dia",dia,"l",l,"angle",angle,"grad",grad,"a",a,",ax=",ax,"fn",fn,"fn2",fn2,"r2",r2,"spiel",spiel,"center",center, "2D",2D,"end",end,"fase",fase,"fillet",fillet],help);
}
module Sinuskoerper
(
h=10,
d=33,
rand=2,
randamp=1,
amp=1.5,
w=4,
randw=4,
detail=3,
vers=0,
fill=0,
2D=0,
twist=0,
scale=1
)
{
if(!2D)linear_extrude(h,convexity=5,twist=twist,scale=scale)for (i=[0:detail:359.9])
{
j=i+detail;
hull()
{
rotate(i) T(d/2+amp*sin(i*w))circle(d=rand+randamp*sin((i+vers)*randw),$fn=36);
rotate(j) T(d/2+amp*sin(j*w))circle(d=rand+randamp*sin((j+vers)*randw),$fn=36);
if(fill)circle(d=d/2,$fn=36);
}
}
if(2D)for (i=[0:detail:359.9])
{
j=i+detail;
hull()
{
rotate(i) T(d/2+amp*sin(i*w))circle(d=rand+randamp*sin((i+vers)*randw),$fn=36);
rotate(j) T(d/2+amp*sin(j*w))circle(d=rand+randamp*sin((j+vers)*randw),$fn=36);
if(fill)circle(d=d/2,$fn=36);
}
}
}
module Achshalter
(
laenge=30,
achse=+5,
schraube=3,
mutter=5.5,
schraubenabstand=15,
hoehe=8,
fn=fn,
help
){
HelpTxt("Achshalter",["laenge",laenge,"achse",achse,"schraube",schraube,"mutter",mutter,"schraubenabstand",schraubenabstand,"hoehe",hoehe,"fn",fn],help);
difference()
{
union()
{
minkowski()
{
T(-8+laenge/2-achse/2)cube([laenge+16+achse-schraube,achse+0,hoehe-1],center=true);
cylinder(1,d=schraube,$fn=fn,center=true);
}
cylinder(hoehe,d=achse+10,$fn=fn,center=true);
}
T(0)cube([15+achse+schraubenabstand,2,hoehe+1],center=true);//Schlitz
cylinder(50,d=achse,center=true,$fn=fn);//Motorachse
R(90)T(z=-10)Twins(20,l=schraubenabstand+achse,d=schraube+2*spiel,center=1);//Schraubenlöcher
T(-(schraubenabstand+achse)/2,-achse/2)Linear(s=schraubenabstand+achse)R(90)cylinder(5,d=Umkreis(6,mutter+spiel*2),$fn=6);
//Inkreis(d=mutter+spiel*2);} depreciated
}
}
module Dreieck(h=10,ha=10,ha2=0,s=1,name,c=0,2D=0,grad=0)
{
s=grad?tan(grad/2)*2*(sqrt(3)/2):s;
//echo(*2);atan(((ha/(sqrt(3)/2)*s)/2)/ha)
r=(sqrt(3)/3)*ha/(sqrt(3)/2);
r2=(sqrt(3)/3)*(ha2?ha2:ha)/(sqrt(3)/2);
if(!2D)T(c?h/2:0,z=c?ha/2-r:ha-r) R(0,-90) scale([1,s,1])cylinder(h=h,r1=r,r2=r2,$fn=3);
if(2D)T(x=c?ha/2-r:ha-r) R(0,0) scale([1,s,1])circle(r=r,$fn=3);
if(name)echo(str("»»» »»» ",name," Dreieck Höhe= ", ha," Breite= ",ha/(sqrt(3)/2)*s," Winkel= ",2*atan(s/2/(sqrt(3)/2)) ));
}
module GewindeV1(d=20,s=1.5,w=5,g=1,fn=3,r=0,gd=1.75,detail=5,tz=0,name)//depreciated
{
difference()
{
children();
color("orange")translate([0,0,tz])for (i=[0:detail:w*360])
{
j=i+detail;
hull()
{
R(z=i)Polar(g,(d-gd)/2,n=0)T(z=i/(360/s))R(90)R(z=r)cylinder(.1,d=gd,$fn=fn);
R(z=j)Polar(g,(d-gd)/2,n=0)T(z=j/(360/s))R(90)R(z=r)cylinder(.1,d=gd,$fn=fn);
}
}
}
if(name)echo(str("»»» »»» ",name," Gewinde aussen∅= ",d,"mm — Center∅= ",d-gd,"mm"));
if(r||(fn!=3&&fn!=6)) echo ("<font color='red' size=8> !!! Check Aussendurchmesser !!!</font> ");
}
module Bogen(grad=90,rad=5,l,l1=10,l2=12,fn=fn,center=true,tcenter=false,name,d=3,fn2=fn,ueberlapp,spiel=-minVal,help,messpunkt=messpunkt,2D=false)
{
$fn=fn;
$fs=fs;
$fa=fa;
$helpM=0;
$info=0;
$idxON=false;
ueberlapp=is_undef(ueberlapp)?spiel:ueberlapp;
l1=is_undef(l)?l1-ueberlapp:is_list(l)?l[0]-ueberlapp:l-ueberlapp;
l2=is_undef(l)?l2-ueberlapp:is_list(l)?l[1]-ueberlapp:l-ueberlapp;
2D=is_parent(needs2D)&&!$children?2D?b(2D,false):
1:
b(2D,false);
c=sin(abs(grad)/2)*rad*2;// Sekante
w1=abs(grad)/2; // Schenkelwinkel
w3=180-abs(grad); // Scheitelwinkel
a=(c/sin(w3/2))/2;
hc=grad!=180?Kathete(a,c/2):0; // Sekante tangenten center
hSek=Kathete(rad,c/2); //center Sekante
bl=PI*rad/180*grad;//Bogenlänge
mirror([grad<0?1:0,0,0])rotate(center?0:tcenter?-abs(grad)/2:+0)T(tcenter?grad>180?hSek+hc:-hSek-hc:0)rotate(tcenter?abs(grad)/2:0) T(center?0:tcenter?0:-rad){
if(!2D) T(rad)R(+90,+0)Tz(-l1-ueberlapp){
$idx=0;
$tab=is_undef($tab)?1:b($tab,false)+1;
color("green") linear_extrude(l1,convexity=5)
if ($children)mirror([grad<0?1:0,0,0])children();
else circle(d=d,$fn=fn2);
//color("lightgreen",.5) T(0,0,l1)if(messpunkt&&$preview)R(0,-90,-90)Dreieck(h=l1,ha=pivotSize,grad=5,n=0);//Pivot(active=[1,1,1,0]);
}
else T(rad)R(0,+0)T(0,ueberlapp)color("green")T(-d/2)square([d,l1]);
if(grad)if(!2D) rotate_extrude(angle=-abs(grad)-0,$fa = abs(grad)/fn, $fs = $fs,$fn=0,convexity=5)intersection(){
$idx=1;
$fn=fn;
$fa=fa;
T(rad)
if ($children)mirror([grad<0?1:0,0,0])children();
else circle(d=d,$fn=fn2);
translate([0,-500])square(1000);
}
else Kreis(rand=d,grad=abs(grad),center=false,r=rad+d/2,fn=fn,name=0,help=0);
if (!2D)R(z=-abs(grad)-180) T(-rad,ueberlapp)R(-90,180,0){
$idx=2;
color("darkorange")linear_extrude(l2,convexity=5)
if ($children)mirror([grad<0?1:0,0,0])children();
else circle(d=d,$fn=fn2);
//color("orange",0.5)if(messpunkt&&$preview)T(0,0,l2)R(0,-90,-90)Dreieck(h=l2,ha=pivotSize,grad=5,n=0);//Pivot(active=[1,1,1,0]);
}
else R(z=-abs(grad)-180) T(-rad,ueberlapp) color("darkorange")T(-d/2)square([d,l2]);
union(){//messpunkt
color("yellow") Pivot(active=[1,0,0,1],messpunkt=messpunkt);
if(grad!=180)color("blue")mirror([0,grad<0?1:0,0]) translate(RotLang(90+grad/2,hc+hSek))Pivot(active=[1,0,0,1],messpunkt=messpunkt);
if(grad>180)color("lightblue")mirror([0,grad<0?1:0,0]) translate(RotLang(90+grad/2,-hc-hSek))Pivot(active=[1,0,0,1],messpunkt=messpunkt);
}
}
if(name&&!$children)echo(str("»»» »»» ",name," Bogen ",grad,"° Durchmesser= ",d,"mm — Innenmaß= ",2*max(rad,d/2)-d,"mm Außenmaß= ",2*max(rad,d/2)+d));
if(name)echo(str(name," Bogen ",grad,"° Radius=",rad,"mm Sekantenradius= ",hSek,"mm — Tangentenschnittpunkt=",hSek+hc,"mm TsSekhöhe=",hc,"mm Kreisstücklänge=",bl," inkl l=",bl+l1+l2,"mm"));
if(!$children&&name&&!2D)Echo("Bogen missing Object! using circle",color="warning");
HelpTxt("Bogen",["grad",grad,"rad",rad,"l",l,"l1",l1,"l2",l2,"fn",fn,"center",center,"tcenter",tcenter,"name",name,"d",d,"fn2",fn2,"spiel",spiel,"messpunkt",messpunkt,"2D",2D],help);
}
module Imprint(txt1=1,radius=20,abstand=7,rotz=-2,h=l(2),rotx=0,roty=0,stauchx=0,stauchy=0,txt0=" ",txt2=" ",size=5,font="Bahnschrift:style=bold",name)
{
str1=str(txt0,txt1,txt2);
InfoTxt("Imprint",["string",str1],name);
difference(){
if($children)children();
for (i=[0:1:len(str1)-1])
{
// if(name)echo(str1[i]);
rotate([0,0,i*abstand])
translate([0,-radius,0])
rotate([rotx,roty,rotz])
linear_extrude(h*2,center=true,convexity=10){
rotate([stauchx,stauchy,0])
translate([+0,-0.2])
mirror([0,1,0])
text(str1[i],size=size,$fn=45,halign="center",valign="baseline",font=font);
}
}
}
}
module W5(kurv=15,arms=3,detail=.3,h=50,tz=+0,start=0.7,end=13.7,topdiameter=1,topenddiameter=1,bottomenddiameter=+2,inv=0)
{
Polar(e=arms)for (i=[start:detail:end])
{
j=i+detail;
hull()
{
R(z=i*kurv)T(i,0,tz*-2*h/(2*PI*(i)))R(inv*180)cylinder(h/(2*PI*(i)),d1=n(topenddiameter)+i/end*n(bottomenddiameter),d2=n(topdiameter),$fn=fn);
R(z=j*kurv)T(j,0,tz*-2*h/(2*PI*(j)))R(inv*180)cylinder(h/(2*PI*(j)),d1=n(topenddiameter)+j/end*n(bottomenddiameter),d2=n(topdiameter),$fn=fn);
}
}
}
fonts=[
"Bahnschrift",
"Alef",
"Amiri",
"Arial",
"Caladea",
"Calibri",
"David CLM",
"David libre",
"Deja Vu Sans",
"Ebrima",
"Echolon",
"Forelle",
"Frank Ruehl CLM",
"Frank Ruhl Hofshi",
"Franklin Gothic Medium",
"Gabrielle",
"Gabriola",
"Gadugi",
"Gentium Basic",
"Gentium Book Basic",
"Georgia",
"Impact",
"Ink Free",
"Liberation Mono",
"Liberation Sans",
"Liberation Sans Narrow",
"Liberation Serif",
"Linux Biolinum G",
"Linux Libertine Display G",
"Linux Libertine G",
"Lucida Console",
"Noto Sans",
"OpenSymbol",
"Palatino Linotype",
"Politics Head",
"Reem Kufi",
"Rubik",
"SamsungImagination",
"Segoe Print",
"Segoe Script",
"Segoe UI",
"SimSun",
"Sitka Banner",
"Sitka Display",
"Sitka Heading",
"Sitka Small",
"Sitka Subheading",
"Sitka Subheading",
"Sitka Text",
"Source Code Pro",
"Source Sans Pro",
"Source Serif Pro",
"Tahoma",
"Times New Roman",
"Trebuchet MS",
"Unispace",
"Verdana",
"Yu Gothic",
"Yu Gothic UI",
"cinnamon cake",
"gotische",
"Webdings","Wingdings","EmojiOne Color",
];
styles=[
"Condensed",
"Condensed Oblique",
"Condensed Bold",
"Condensed Bold Oblique",
"Condensed Bold Italic",
"SemiCondensed",
"SemiLight Condensed",
"SemiLight SemiCondensed",
"SemiBold SemiCondensed",
"SemiBold Condensed",
"Light Condensed",
"Light SemiCondensed",
"SemiLight",
"Light",
"ExtraLight",
"Light Italic",
"Bold",
"Bold SemiCondensed",
"Semibold",
"Semibold Italic",
"Bold Italic",
"Bold Oblique",
"Black",
"Black Italic",
"Book",
"Regular",
"Italic",
"Medium",
"Oblique",
];
module Text(text="»«",size=5,h,cx,cy,cz,center=0,spacing=1,fn=24,radius=0,rot=[0,0,0],font="Bahnschrift:style=bold",style,help,name)
{
h=is_undef(h)?size:h;
cx=center?is_undef(cx)?1:cx:is_undef(cx)?0:cx;
cy=center?is_undef(cy)?1:cy:is_undef(cy)?0:cy;
cz=center?is_undef(cz)?1:cz:is_undef(cz)?0:cz;
font=is_num(font)?fonts[font]:font;
style=is_string(style)?style:styles[style];
fontstr=is_undef(style)?font:str(font,":style=",style);
if(is_num(text)||text)if(!radius){
if(h)
rotate(rot)translate([0,0,cz?-abs(h)/2:h<0?h:0]) linear_extrude(abs(h),convexity=10){
text(str(text),size=size,halign=cx?"center":"left",valign=cy?"center":"baseline",font=fontstr,spacing=spacing,$fn=fn);
}
else rotate(rot)translate([0,0,cz?-h/2:0])text(str(text),size=size,halign=cx?"center":"left",valign=cy?"center":"baseline",spacing=spacing,font=fontstr,$fn=fn);
}
else for(i=[0:len(str(text))-1])rotate(center?gradB((size*spacing)/2*(len(str(text))-1),radius):0)rotate(gradB(size*spacing,radius)*-i)
if(h)
translate([0,radius,0])rotate(rot)Tz(cz?-abs(h)/2:h<0?h:0) linear_extrude(abs(h),convexity=10){
text(str(text)[i],size=size,halign=true?"center":"left",valign=cy?"center":"baseline",font=fontstr,$fn=fn);
}
else translate([0,radius,cz?-h/2:0])rotate(rot)text(str(text)[i],size=size,halign=true?"center":"left",valign=cy?"center":"baseline",font=fontstr,$fn=fn);
if(name)echo(str("<b>",name," Text font=",font," — style=",style));
if(help)echo(str("<font color=",helpMColor," size=3><b>Help Text(",
"text=&quot;",text,"&quot;",
", size=",size,
", h=",h,"/*0 for 2D*/",
", cx=",cx,
", cy=",cy,
", cz=",cz,
", center=",center,
", spacing=",spacing,
", fn=",fn,
", radius=",radius,
", rot=",rot,
", font=&quot;",font,"&quot;",
",style=&quot;",style,"&quot;",
",help);"));
}
module Bitaufnahme(l=10,star=true,help)
{
if(star){
linear_extrude(l,scale=.95,convexity=5){
if(star==true||star==1)Rund(1,fn=36)Polar(2)circle(4.6,$fn=3);
if(star==2)WStern(6,r=3.5,fn=6*10,help=0,r2=3.1);
}
if(star==2)T(z=l){
Tz(-0.30)scale([1,1,0.60]) sphere(d=5.8,$fn=36);
linear_extrude(1.00,scale=0.56,convexity=5)scale(.95)WStern(6,r=3.5,fn=6*10,help=0,r2=3.1);
}
else T(z=l){
Tz(-0.29)scale([1,1,0.6]) sphere(d=5.3,$fn=36);
linear_extrude(0.80,scale=0.56,convexity=5)scale(.95)Rund(1,fn=36)Polar(2)circle(4.6,$fn=3);
}
}
if(!star){hull()
{
cylinder(l,d1=Umkreis(6,6.3),d2=Umkreis(6,6.1),$fn=6);
T(z=l)R(0)sphere(d=Umkreis(6,5.5),$fn=36);
}
T(z=-.01)color("red")Kegel(d1=Umkreis(6,6.5),d2=Umkreis(6,6.1),v=+43.31,fn=6,name=0);
}
HelpTxt("Bitaufnahme",["l",l,"star",star],help);
}
module Luer(male=true,lock=true,slip=true,rand=n(2),help)
{
if(help)echo(str("<H3> <font color=",helpMColor,"><b>Help Luer (",
"male=",male,
", lock=",lock,
", slip=",slip,
", rand=",rand,
", help);"
));
//show=41; 6% nach DIN
//*R(180)T(z=-73.5)color("red")cylinder(100,d1=0,d2=6,$fn=fn);//Eichzylinder 6%
//*T(z=+1.0)color("green")cylinder(5.8,d1=4.35,d2=4.0,$fn=fn);//referenz gemessen
d=4.5;
if (male)
{
if(slip)
{
translate([0,0,lock?0:-1])difference()
{
Kegel(d1=lock?d:d+0.06,d2=4,v=+33.3,name=0);
translate([0,0,-0.01])Kegel(d1=d-rand*2,d2=0,v=+33.3,name=0);
echo(str("»»» »»» Luer uses Kegel(d1=",d,",d2=4,v=+33.3);"));
}
intersection()
{
Ring(1,0.75,5.7,name=0);
Kegel(d2=4,d1=6.0);
}
}
if (lock)
{
//T(z=6)Gewinde(d=8.85,w=1.4,s=5.5,g=2,gd=Umkreis(4,1.3),fn=5,r=36,tz=-6.4,name=0,new=false)R(180)Ring(6,1.9,10.2,name="Luerlock");// OLD
intersection(){
Gewinde(tz=-1.75,dn=8,kern=6.75,innen=true,breite=0.5,winkel=75,g=2,p=5.5,wand=0.75,h=10,new=true,center=+0,cyl=1,name=0);
cylinder(6,d=20);
}
difference()
{
Ring(0.5,2.5,9.5,name=0);
translate([0,0,-0.15]) Kegel(d2=4,d1=6.0,name=0);
}
}
}
if (!lock&&!slip)color("orange")cylinder(10,d=10.5,$fn=fn);
if (!male)
{
T(z=0)rotate(360/5.5*0.5)difference()
{
union()
{
if(lock)Halb()Gewinde(dn=7.8,p=5.5,g=2,winkel=75,kern=6,grad=200,start=fn/6,name=0,new=true,center=1,tz=+0);// rotate(360/5.5*0.3)Gewinde(d=7.8,w=0.5,s=5.5,g=2,gd=1.2,fn=5,r=36,tz=-0.7,name=0);
if(slip) cylinder(10,d=6);//Ring (10,n(2),6,name=0);
}
translate([0,0,-0.1])Kegel(d1=4.45,d2=2.0,v=+33.3,name=0);
//mirror([0,0,1])cylinder(5,d=12);
}
}
}
module Knochen(l=+15,d=3,d2=5,b=0,fn=fn,help)
{
HelpTxt("Knochen",["l",l,"d",d,"d2",d2,"b",b,"fn",fn],help);
f=50/fn*0.3;
function mf(x)=d+pow(1.5,x);
for(i=[-l:f:+5])
{
hull()
{
R(i*b)T(z=i)scale([d2/mf(i),1,1])R(i*b)cylinder(.01,d=mf(i),$fn=fn);
R((i+f)*b)T(z=i+f)scale([d2/mf(i+f),1,1])R((i+f)*b)cylinder(.01,d=mf(i+f),$fn=fn);
}
}
}
module DGlied(sym,l=12,l1,l2,la=+0.0,d=3,h=5,spiel=0.4,rand=n(1.5),freiwinkel=20,help){
if (sym) DGlied1(l=l,l1=l1,l2=l2,la=la,spiel=spiel,d=d,h=h,rand=rand,freiwinkel=freiwinkel);
else DGlied0(l=l,l1=l1,l2=l2,la=la,spiel=spiel,d=d,h=h,rand=rand,freiwinkel=freiwinkel);
HelpTxt("DGlied",["sym",sym,"l",l,"l1",l1,"l2",l2,"spiel",spiel,"la",la,"fn",fn,"d",d,"h",h,"rand",rand,"freiwinkel",freiwinkel],help);
}
module DGlied0(l=12,l1,l2,la=+0.0,d=3,h=5,spiel=0.4,rand=n(1.5),freiwinkel=20)
{
l1=is_undef(l1)?is_list(l)?l[0]:l:l1;
l2=is_undef(l2)?is_list(l)?l[1]:l:l2;
Glied(l1,la=la,spiel=spiel,d=d,h=h,rand=rand,freiwinkel=freiwinkel);
mirror([0,1,0])Glied(l2,la=la,spiel=spiel,d=d,h=h,rand=rand,freiwinkel=freiwinkel);
}
module DGlied1(l=12,l1,l2,la=0,d=3,h=5,spiel=0.4,rand=n(1.5),freiwinkel=20)
{
l1=is_undef(l1)?is_list(l)?l[0]:l:l1;
l2=is_undef(l2)?is_list(l)?l[1]:l:l2;
mirror([+0,1,0])T(0,-l1)Glied(l1,la=la,spiel=spiel,d=d,h=h,rand=rand,freiwinkel=freiwinkel);
T(0,-l2)Glied(l2,la=la,d=d,h=h,spiel=spiel,rand=rand,freiwinkel=freiwinkel);
}
module SGlied(sym=0,l=12,la=-.5,d=3,h=5,spiel=0.4,rand=n(1.5),freiwinkel=30,help){
T(0,l/2){
Halb(!sym,x=1)T(0,-l/2)Glied(l,la=la,spiel=spiel,d=d,h=h,rand=rand,freiwinkel=sym?freiwinkel:90);
Halb(sym,x=1)rotate(180)T(0,-l/2)Glied(l,la=la,spiel=spiel,d=d,h=h,rand=rand,freiwinkel=sym?freiwinkel:90);
}
HelpTxt("SGlied",["sym",sym,"l",l,"spiel",spiel,"la",la,"fn",fn,"d",d,"h",h,"rand",rand,"freiwinkel",freiwinkel],help);
}
/*
Schnitt(center=true,z=3){
Glied(l=31,d=3,la=+0);
rotate(20+180)T(0,-31)Glied(l=31,d=3,la=+0);
}
*/
module Glied(l=12,spiel=0.4,la=-0.5,fn=20,d=3,h=5,rand=n(1.5),freiwinkel=30,name=0,help)
{
hFreiraum=h/2+nozzle /2;
hSteg=h/2 - nozzle /2;
$info=false;
$helpM=false;
HelpTxt("Glied",[
"l",l,
"spiel",spiel,
"la",la,
"fn",fn,
"d",d,
"h",h,
"rand",rand,
"freiwinkel",freiwinkel,
"name",name],help);
T(y=l,z=h/2)Pille(l=hSteg,d=d+1,rad=.8,fn=fn);//Torus(1.2,1.7,fn=fn,n=name);
if (messpunkt)
{
%color ("blue")translate([0,l,0.1])R(z=180/12)cylinder(5, d1=1,d2=1,$fn=12,center=true);//messachse1
%color("red")cylinder(5, d1=1,d2=1,$fn=12,center=true);//messachse2
}
T(0,l)//kopfstück
{
lkopf=l-(d-.5)/tan(freiwinkel)+la -1;
T(0,-lkopf/2,h/2) minkowski()
{
cube([d-2*0.8+.25,lkopf-2*0.8,hSteg-2*.8],true);
sphere(0.8,$fn=fn);
}
cylinder(h,d=d,$fs=0.2,$fa=5,$fn=0);//Achse!
}
difference()
{
T(0,0,h/2)hull()//Ringanker
{
T(0,l/2+la/2-d/2) minkowski()
{
cube([max(d-2*.8-.5,.1),l+la-2*.8-d,h-0.8*2],true);
sphere(0.8,$fn=fn);
}
T(0,l -d/2 -rand-spiel+la) minkowski()// spitze
{
cube([max(d-2*.8-.5,.1),0.1,+0.01],true);
sphere(0.8,$fn=fn);
}
}
translate([0,l])cylinder(h*2,d=d+rand*2+spiel*4,$fn=0,$fs=0.5);// space for ring of other
cylinder(h*2,d=d+2*spiel,$fn=fn,center=true);
Freiwinkel();
Tz(h/2)Pille(l=hFreiraum,d=d+1+2*spiel,rad=1,fn=fn);
}
T(0,0)union()//B ring
{
difference()
{
union()
{
Ring(h,rand,d+2*spiel,cd=-1,name=name);
//T(0,3.2)R(z=33)cylinder(5,d=3,$fn=3);
}
Tz(h/2)cylinder(hFreiraum,d=d+rand*2+2*spiel,center=true);//Pille(l=hSteg+n(1),d=d+rand*2+2*spiel +1,rad=1,fn=fn);
color("red")Freiwinkel();
/* * T(+2.9,-1.40,2.5)R(z=46)minkowski()
{
cube([5,+5,1.0],true);
sphere(1.0,$fn=fn);
}
*mirror([1,0,0]) T(+2.9,-1.40,2.5)R(z=46)minkowski()
{
cube([5,+5,1.0],true);
sphere(1.0,$fn=fn);
}
*/
}
/*T(0,+5.2,2.50)minkowski()
{
cube([0.6,+6.0,4],true);
sphere(.5,$fn=fn);
} */
}
module Freiwinkel(w=freiwinkel+90)//Glied only
T(0,+0.5){
R(z=+w) T(+0,+25-d/2,h/2)minkowski()
{
cube([200,+50-.8*2,hFreiraum-2*0.8],true);
sphere(0.8,$fn=fn);
}
R(z=-w) T(+0,+25-d/2,h/2)minkowski()
{
cube([200,+50-.8*2,hFreiraum-2*0.8],true);
sphere(0.8,$fn=fn);
}
}
}
module Freiwinkel(w=60,h=1)
T(0,+1.0){
R(z=w/2-90) T(-6,+0,2.0)minkowski()
{
cube([20,5,h],false);
sphere(0.8,$fn=fn);
}
R(z=-w/2+90) T(-14,+0,2.0)minkowski()
{
cube([20,5,h],false);
sphere(0.8,$fn=fn);
}
}
module Torus2(m=5,trx=10,a=1,rq=1,d=5,w=2,name,new=true)//m=feinheit,trx = abstand mitte,rq = sin verschiebung , a=amplitude, w wellen
{
//if(new&&w==2)rotate(90/w)WaveEx(grad=360,trx=trx-a/2*1,try=trx+a/2*1,f=w,tf=w,fv=0,tfv=0,r=d/2,ta=a/2,a=-rq/2);
if(new)rotate(-90/w)WaveEx(grad=360,trx=trx,try=trx,f=w,tf=-w,fv=0,tfv=180,r=d/2,ta=a,a=rq/2,fn=360/m);
if(!new)echo("<H3> <font color=red> For Torus2 use 'new=true' (WaveEx)");
if(new)echo("<H4> <font color=green>Torus2 is using WaveEx");
if(!new)rotate ([0,0,0])for (i=[0:m:360])
{
hull()
{
rotate ([0,0,i])translate([trx+(sin(w*i)*a),0,0])rotate([90,0,0])cylinder(.01,d1=sin(w*i)*rq+d,d2=0,$fn=200/m,center=false);
rotate ([0,0,i-m])translate([trx+(sin(w*(i-m))*a),0,0])rotate([90,0,0])cylinder(.01,d1=sin(w*(i-m))*rq+d,$fn=200/m,d2=0,center=false);
}
}
if(name)echo(str("»»» »»» ",name," Torus2 ",w," Wellen"));
}
module Kegel(d1=undef,d2=0,v=1,grad=0,h=0,r1,r2,fn=fn,center=false,name,help)
{
v=grad?tan(grad):v;
d2=h&&(is_num(d1)||is_num(r1))?h/-v*2+(is_num(r1)?2*r1:d1):is_num(r2)?2*r2:d2;
d1=is_undef(d1)&&is_undef(r1)&&h?h/v*2+(is_num(r2)?2*r2:d2):is_num(r1)?r1*2:is_undef(d1)?0:d1;
cylinder (abs((d1-d2)/2*v),d1=d1,d2=d2,$fn=fn,center=center);
//if(d2>d1)cylinder (abs((d2-d1)/2*v),d1=d1,d2=d2,$fn=fn,center=center);
if(d1==d2)cylinder (h?h:10,d1=d1,d2=d2,$fn=fn,center=center);
if(!d1&&!d2&&is_undef(r1))color("magenta")%cylinder(5,5,0,$fn=fn,center=center);
if(d2<0||d1<0)Echo(str("‼ negativ ∅",name," Kegel d1=",negRed(d1)," d2=",negRed(d2)),color="red");
InfoTxt("Kegel",["höhe",abs((d1-d2)/2*v),"Steigung",str(v*100,"% ",atan(v),"°"),"Spitzenwinkel",str(2*(90-atan(v)),"°"),"d2",negRed(d2)],name);
HelpTxt("Kegel",["d1",d1,"d2",d2,"v",v,"grad",grad,"h",h,"r1",r1,"r2",r2,"fn",fn,"center",center,"name=",name],help);
}
module MK(d1=12,d2=6,v=19.5,fn=fn)
{
//Basis
// Obererdurchmesser
//kegelverjüngung
cylinder ((d1-d2)/2*v,d1=d1,d2=d2,$fn=fn);
echo(str("»»»››› Konushöhe=",(d1-d2)/2*v));
}
module Stabhalter (l=10,d=3.5)// Replaced with Ring(cd=-1,rand(n(1.5)),durchmesser=In6eck(3.1),fn=6)
{
translate([+0.0,0,2.165])difference()
{
rotate ([0,90,0])rotate ([0,0,30]) cylinder(l,d=d+n(3),$fn=6);
translate([+0.5,0,0])rotate ([0,90,0])rotate ([0,0,30]) cylinder(l+5,d=d,$fn=6);
}
echo("Removed! Verschoben wegen nozzle∅! Use T(z=3.1/2)R(0,90)Inkreis(d=3.1) or Ring(cd=-1,rand(n(1.5)),durchmesser=In6eck(3.1),fn=6)");
}
module Halbrund(h=10,d=3+2*spiel,d2,x=1.0-spiel,doppel=false,name,help)
{
d2=is_undef(d2)?doppel?d-x*2:d-x:d2;
x=is_undef(d2)?x:doppel?(d-d2)/2:d-d2;
if(h){difference()
{
if($children)children();
if(!doppel)difference()
{
cylinder(d=d,h=h*2,center=true,$fn=36);
translate([d/2-x, -25, -50])cube([50,50,100],center=false);
}
else intersection()
{
cylinder(d=d,h=h*2,center=true,$fn=36);
cube([d2,d+1,100],center=true);
//translate([-d/2+x-50, -25, -50])cube([50,50,100],center=false);
}
}
}
else difference(){
if($children)children();
if(!doppel) difference()
{
circle(d=d,$fn=36);
translate([d/2-x, -25])square([50,50],center=false);
}
else intersection(){
circle(d=d,$fn=36);
square([d2,d+1],center=true);
}
}
if (name)echo(str(is_string(name)?"<H3>":"",name," Halbrund",h?str(" l= ",h): " h=0↦2D"," ∅= ",(d)," Abgeflacht um= ",x," ↦",d2));
HelpTxt("Halbrund",[
"h",h,
"d",d,
"d2",d2,
"x",x,
"doppel",doppel,
"name",name],
help);
}
module Twins(h=1,d,d11=10,d12,d21=10,d22,l=20,r=0,fn=fn,center=0,sca=+0,2D=false)
{
d11=d?d:d11;
d12=d?d:is_undef(d12)?d11:d12;
d21=d?d:d21;
d22=d?d:is_undef(d22)?d21:d22;
if(!2D) rotate([0,0,center?r:0])translate([center?-l/2:0,0,0]){
rotate([0,-sca,0])cylinder(h,d11*.5,d12*.5,$fn=fn);
rotate([0,0,center?0:r])translate([l,0,0])rotate([0,sca,0])cylinder(h,d21*.5,d22*.5,$fn=fn); }
if(2D) rotate([0,0,center?r:0])translate([center?-l/2:0,0,0]){
rotate([0,-sca,0])circle(d=d11,$fn=fn);
rotate([0,0,center?0:r])translate([l,0,0])rotate([0,sca,0])circle(d=d21,$fn=fn); }
}
module Riemenscheibe(e=40,radius=25,nockendurchmesser1=2,nockendurchmesser2=2,hoehe=8,name)
{
if(name)echo(str("Riemenscheibe ",name," Nockenabstand= ",2*PI*radius/e," Nockespitzen= ",(2*PI*(nockendurchmesser1/2+radius))/e));
difference()
{
children();
Polar(x=radius,e=e,name=0)translate([00,0,-.005])cylinder(.01+hoehe,d=nockendurchmesser2,center=false,$fn=36);
}
Polar(x=radius,e=e,r=180/e,name=0)cylinder(hoehe,d=nockendurchmesser1,center=false,$fn=36);
}
module Servokopf(rot=0,spiel=0,schraube=true,help)
{
// 15 Zacken!
d2=6+spiel;
d1=6.1+spiel;
fn=3;
%Tz(+0){//direction
Col(5,0.5) rotate(rot) scale([1,0.5])circle(3.5,$fn=3);
Col(6,0.7) scale([1,0.5])circle(4,$fn=3);
}
difference()
{
if($children)union()
{
children();
}
rotate(rot) for (i=[0:360/5:359])
{
rotate([0,0,i]) translate([0,0,-.1])cylinder(3.25,d1=d1,d2=d2,$fn=fn,center=false);
}
if($children) translate([0,0,-0.01])cylinder(.5,d1=d1-0.1,d2=d1-2,$fn=36,center=false);//basekone
// *cylinder(6,d1=d1,d2=d2,$fn=fn,center=true);
// *rotate([0,0,360/2*fn])cylinder(6,d1=d1,d2=d2,$fn=fn,center=true);
if(schraube){
cylinder(10,d=2,$fn=36); //SchraubenlochNarbe
translate([0,0,3.4+1])cylinder(100,d=4.5,$fn=36); //SchraubenKopflochNarbe
}
translate([0,0,-30.01])cylinder(30,d=50,$fn=36); //Servo
}
if(!$children) translate([0,0,-0.01])cylinder(.5,d1=d1-0.1,d2=d1-2,$fn=36,center=false);//basekone
HelpTxt("Servokopf",[
"rot",rot,
"spiel",spiel,
"schraube",schraube],
help);
}
module Servo(r=0,narbe=1,help)
{
cube([12.5,22.5+1.5,23],true);
translate([+0,0,(-23/2+2.5/2)+16])cube([12.5,32.5,2.5],true);
color([.8,0.4,.6,1])translate([+0,-5,2.8])cylinder(26.0,d1=12,d2=12,$fn=36,center=true);
color([.8,0.3,.6,1])translate([+0,+0.7,2.7])cylinder(26.0,d=5.5,$fn=36,center=true);
color([.8,0.3,.6,1])translate([+0,+1.4,2.7])cylinder(26.0,d=5.5,$fn=36,center=true);
color([.8,.8,.6,1])translate([+0,-5,3.5])cylinder(30.0,d=5,$fn=12,center=true);
if (narbe==1)
{ translate([+0,-5,17.3])rotate([+0,0,r])scale([0.2,1.0,1])cylinder(3,d=35,center=true); // servoarm Oval
translate([+0,-5,17.3])rotate([+0,0,r])cube([18,4.1,3.0],true);//servoarm
}
if (narbe==2)
{ translate([+0,-5,18.2])rotate([+0,0,r])scale([1,1,1])color([.8,.8,.8,0.5])cylinder(6,d=35,center=true); // servoarm Rund
}
if (narbe==3)
{
color([.8,.8,.8,1])translate([+0,-5,49])cylinder(70,d1=4,d2=4,$fn=36,center=true);//Mitte Drehachse
}
color([.8,0.5,.2,1])translate([+0,-11.8,-3.4])scale([1,0.15,1])cylinder(16,d=12.5,$fn=36,center=true);//cut für kabel
translate([+0,14,6]) cylinder(10.0,d=1.8,$fn=6,center=true); //Schraubenlöcher
translate([+0,-14,6]) cylinder(10.0,d=1.8,$fn=6,center=true); //Schraubenlöcher
HelpTxt("Servo",["r",r,"narbe",narbe],help);
}
module Glied3(x=15,layer=.15,help)
{
HelpTxt("Glied3",["x",x,"layer",layer],help);
function l(x)=layer*x;
echo(Glied3_uses_layer=l(1));
difference()
{
union()
{
color("blue")translate([x,0,l(1)]) cylinder(l(13),d1=1.9,d2=1.9,$fn=69,center=false);//Achse
translate([x,0,l(1)])cylinder(l(5), d1=3.5,d2=2.0,$fn=69,center=false);//unten Sockel
translate([x,0,l(11)])cylinder(l(3), d1=2,d2=3.5,$fn=69,center=false);//oben Sockel
}
translate([x,+0,0])rotate([0,0,0])cylinder(l(40),d=+0.75,$fn=96,center=true);//achslochloch
}
if (messpunkt)
{
%color ("blue")translate([x,0,0.1])cylinder(l(40), d1=1,d2=1,$fn=12,center=true);//messachse1
%color("red")cylinder(l(40), d1=1,d2=1,$fn=12,center=true);//messachse2
}
difference()
{
hull()
{
translate([0,0,0.0])cylinder(l(14),d=4.5,$fn=69,center=false);
translate([x,0,0])cylinder(l(+18), d1=+3.5,d2=+3.5,$fn=69,center=false);
}
translate([+0.0,0,l(+1)])rotate([0,6,0])cylinder(l(9),d1=6.1,d2=2.2,$fn=69,center=false);//Kegel ausschnitt unten
translate([0,0,l(+0)-0.05])rotate([0,0,0])scale([1,1,0.47])sphere(d=5.9,$fn=69);//Kegel ausschnitt untendrunter grade
color("red")translate([0,0,-0.01])cylinder(5,d=3.00,$fn=69,center=false);//achsloch
* color("green")translate([0,0,l(11)+.01])cylinder(l(7),d1=+2.0,d2=8.0,$fn=69,center=false);//lagerfläche oben
translate([0,0,l(+19)-0.05])rotate([0,0,0])scale([1,1,0.47])sphere(d=5.9,$fn=69);//oben Frei
mirror([0,0,0])translate([x,+0,l(3)])rotate([0,0,0])cylinder(l(5),d1=+6.0,d2=7.0,$fn=96,center=false);//lagerfläche innen unten
translate([x,+0,l(+8)-0.01])rotate([0,0,0])cylinder(l(6),d1=+7.0,d2=6.0,$fn=96,center=false);//lagerfläche innnen oben
translate([x,+0,0])rotate([0,0,0])cylinder(l(45),d=+0.60,$fn=96,center=true);//achslochloch
}
}
module Gelenk(l=20,w=0,help)//ausschnittlänge, winkel
{
HelpTxt("Gelenk",["l",l,"w",w],help);
scale([1.2,1.2,1.3])rotate([0,0,180])intersection()
{
union()
{
translate([-l,0,0])Glied3(l);
translate([ 0,0,0])rotate([0,0,w])Glied3(l+10);
}
union()
{
translate([0,0,0])rotate([0,0,w])translate([l/2,0,0])resize([l,6,10])cylinder(10,d=5,$fn=3,center=true);
translate([+0,0,0])cube ([14,11,30],center=true);
}
}
}
module Ring(h=5,rand,d=10,r,cd=1,id=6,ir,grad=360,rcenter,center=false,fn=fn,name,2D=0,help){
id=is_undef(id)?d-rand*2:id;
r=is_undef(r)?d/2:r;
ir=is_undef(ir)?id/2:ir;
rcenter=is_undef(rcenter)?!abs(cd):rcenter;
rand=is_undef(rand)?r-ir:rand*sign(cd==0?1:cd);
if(2D||!h)Kreis(rand=rand,rcenter=rcenter,r=r,grad=grad,fn=fn,rot=0,center=center,name=0,help=0);
else rotate([h>0?0:180])linear_extrude(abs(h),center=center,convexity=5)Kreis(rand=rand,rcenter=rcenter,r=r,grad=grad,center=center,fn=fn,rot=0,name=0,help=0);
if(name)echo(str(is_bool(name)?"":"<b>",name," Ring Aussen∅= ",rcenter?d+abs(rand):rand>0?d:d-rand*2,"mm — Mitte∅= ",rcenter?d:d-rand,"mm — Innen∅= ",rcenter?d-abs(rand):rand>0?d-(rand*2):d,"mm groß und ",2D||!h?"2D":str(h," hoch")));
HelpTxt("Ring",["h",h,
"rand",rand,
"d",d,
"r",r,
"id",id,
"ir",ir,
"cd",cd,
"rcenter",rcenter,
"center",center,
"fn",fn,
"name",name,
"2D",2D,],help);
}
module Servotraeger(SON=1,top=0,help)
{
HelpTxt("Servotraeger",["SON",SON,"top",top],help);
if(!top)translate([0,+0,+35.4]) difference()
{
minkowski()
{
translate([-11,+0,-33.9]) cube([29,20,3],center=true);
cylinder(1,d=5,$fn=36);
}
if(SON) #translate([-11,0,-40]) rotate([0,0,-90])Servo(0);
else translate([-11,0,-40]) rotate([0,0,-90])Servo(0);
* mirror([0,1,0])translate([-11,-30,-40]) rotate([0,0,-90])Servo();
}
*minkowski()//Sockel
{
translate([+2,+0,-27.4]) cube([15,9,16],center=true);
cylinder(1,d=5,$fn=36);
}
if (top) difference(){
if($children)children();
else cylinder(4,d=20);
linear_extrude(9,center=true,convexity=5)Rund(1){
circle(d=11.5+spiel);
T(6)circle(d=5.5+spiel);
}
T(23/2-(11.5+spiel)/2){
R(180)Prisma(23,11.5+spiel,5,c1=1,s=.5); //Servo
R(180)Tz(4.0)Prisma(33,11.5+spiel,100,c1=1,s=.5); //Servobody unten
R(180) Mklon(tx=28/2,mz=0)linear_extrude(5,center=false,convexity=5)Rund(.35)Stern(5,5.9,0.5);//Schraubenlöcher
}
cylinder(8,d=9);//Servoachse
}
}
// OLD and Replaced modules
module ZylinderOLD(h=10,r=10,fn=150,fnh=150,grad=360,grad2=84,f=10,f2=10,f3=0,a=.5,a3=0,fz=0,az=0,deltaFz=0,deltaF=90,deltaF2=0,deltaF3=0,twist=0,scale=+1,sphere=0,lz,help){
stepRot=grad/fn;
stepH=h/fnh;
points=[for(z=[0:fnh],rot=[0:fn])RotLang(
rot=rot*stepRot+twist*z/fnh,
l=(1+(scale-1)*z/fnh)*(r+a3*sin(rot*stepRot*f3+deltaF3)+a*sin(rot*stepRot*f+deltaF)*cos(z*f2*360/fnh+deltaF2)+az*sin(z*fz*360/fnh+deltaFz)),
lz=lz,
z=sphere?undef:z*stepH,
e=z*grad2/fnh
)];
faces=[for(i=[0:len(points)-fn-2])[i,i+1,i+2+fn,i+fn+1]];
faces2=[[for(i=[fn-1:-1:+0])i],[for(i=[len(points)-fn:len(points)-1])i]];
//faces=[for(i=[0:len(points)-fn-2])each[[i,i+1,i+fn],[i+1,i+1+fn,i+fn]]];
polyhedron(points,concat(faces2,faces),convexity=15);
HelpTxt("Zylinder",["h=",h,",r=",r,",fn=",fn,",fnh=",fnh,", grad=",grad,",grad2=",grad2,",f=",f,",f2=",f2,", f3=",f3, ",a=",a," a3=",a3," ,fz=",fz,",az=",az,",deltaFz=",deltaFz," ,deltaF=",deltaF," ,deltaF2=",deltaF2," ,deltaF3=",deltaF3,", twist=",twist,",scale=",scale,",sphere=",sphere,",lz=",lz],help);
}
module FlowerOLD(e=8,n=15,r=10,r2=5,fn=720,name,help){
points=[for(f=[+0:fn])let(i=f*360/fn)RotLang(i,max(r2,r*pow(abs(sin(e*.5*i)),2/n)))];
polygon(points,convexity=5);
if(help)echo(str("<H3><font color=",helpMColor,">Help Flower(e=",e,",n=",n,",r=",r,",r2=",r2,", fn=",fn,",name=",name,",help);"));
}
module PilleOLD(l=10,d=5,fn=fn,fn2=36,center=true,name,s=0,rad,rad2,loch=false,help)
{
//rotate_extrude()Halb(2D=true)Strebe(h=10,rad=+2,d=-4,2D=true);
// if(rad>d/2-.001||rad2>d/2-.001)echo("<font color=red> Radius limited to d/2");
rad=is_undef(rad)?d/2:d>0?min(rad,d/2):max(rad,d/2);
rad2=is_undef(rad2)?rad:min(rad2,d/2);
d=s?s:d>0?max(d,rad*2):min(rad*2,d); //abwärts compabilät
if(!loch)Tz(center?-l/2:0)rotate_extrude(convexity=5,$fn=fn)polygon(concat(
kreis(rand=0,grad=90,r=rad2,center=false,rot=0,t=[d/2-rad2,l-rad2],fn=fn2/4),
kreis(rand=0,grad=90,r=rad,rot=+90,center=false,t=[d/2-rad,rad],fn=fn2/4),
[[0,0]],
[[0,l]]
),
//paths=[[for(i=[0:floor(fn/4)])i,for(i=[floor(fn/2)+1:-1:floor(fn/4)+1])i,floor(fn/2)+2,floor(fn/2)+3]],
convexity=5
);
//if(fn%4)echo("<font size=7 color=red>FN nicht teilbar durch 4");
if(loch)Tz(center?-l/2:0)rotate_extrude(convexity=5,$fn=fn)polygon(concat(
kreis(rand=0,grad=90,r=rad,rot=+90,center=false,t=[d/2-rad,rad],fn=fn2/4),//unten
kreis(rand=0,grad=90,r=rad2,center=false,rot=0,t=[d/2-rad2,l-rad2],fn=fn2/4)//oben
),
//paths=[[for(i=[0:floor(fn/4)])i,for(i=[floor(fn/2)+1:-1:floor(fn/4)+1])i]],
convexity=5
);
if(name)echo(str("»»» »»» ",name," Pille Länge= ",l," sphere r= ",rad,"/",rad2," Durchmesser=",d));
if(2*rad>l)echo(str("<H1><font color=red>∅>l ",n," Pille Länge= ",l," sphere∅= ",d));
if(help)echo(str("<H3><font color=",helpMColor,">Help Pille(l=",l,", d=",d,", fn=",fn,", fn2=",fn2,", center=",center,",n=",n,", s=",s,", rad=",rad,",rad2=",rad2,", loch=",loch,", help);"));
}
module BogenOrg(grad=90,rad=5,d=3,l1=10,l2=12,name,fn=fn,fn2=fn,ueberlapp=-0.001,help)//depreciated
{
color("green")T(rad,ueberlapp)R(-90)cylinder(l1+0.0,d=d,$fn=fn);
rotate(-grad/2)Torus(rad,d,a=-grad,n=0,fn=fn2,fn2=fn);
color("orange")R(z=-grad-180) T(-rad,ueberlapp)R(-90,180,0)cylinder(l2+0.0,d=d,$fn=fn);
if(name)echo(str("»»» »»» ",name," Bogen ",grad,"° Durchmesser= ",d,"mm — Innenmaß= ",2*max(rad,d/2)-d,"mm Außenmaß= ",2*max(rad,d/2)+d));
if(!$children)Echo("Bogen missing Object! using circle",color="warning");
if(help)echo(str("<font color=",helpMColor," size=3><b>Help Bogen(grad=90,rad=5,d=3,l1=10,l2=12,name,fn=fn,fn2=fn,ueberlapp=-0.001,help)"));
}
/*/////////////////////////////////////////////////////////////////////////////////////////////
Depreciated / for Deletion
module Aussenkreis(h=5,d=5.5,eck=6,kreis=0,fn=150,n=1)//misleading depreciated
{
echo("!!!!!!!!!!!!!!!!!! Renamed Inkreis");
Inkreis(h=h,d=d,eck=eck,kreis=kreis,fn=fn,n=n);
echo("!!!!!!!!!!!!!!!!!! Renamed USE Inkreis");
}
module Inkreis(h=5,d=5.5,eck=6,kreis=0,fn=fn,name)//depreciated
{
echo("<font color='red'size=10>!!!!!!!!!!!!!!!!!! Don't use — depreciated!!<font color='blue'size=7> - use functions Inkreis or Umkreis </font></font>");
if(eck==8){
a=d*(sqrt(2)-1);
R(z=180/8)cylinder(h,r=a*sqrt(1+(1/sqrt(2))),$fn=kreis?fn:eck);
}
if(eck==6)cylinder(h,d=Umkreis(6,d),$fn=kreis?fn:eck);
if(eck==4)R(z=45)cylinder(h,r=sqrt(2*pow(d/2,2)),$fn=kreis?fn:eck);
if(eck==3)R(z=0)cylinder(h,r=d,$fn=kreis?fn:eck);
if(name)echo(str("»»» »»» ",name," ",eck,"-eck Inkreis∅= ",d));
}
DEL module RingOLD(h=5,rand=2,d=10,cd=1,center=false,fn=fn,name,2D=0)// marked for deletion
{
if (!2D){
if(cd==1){difference()//Aussendurchmesser
{
cylinder(h,d=d,$fn=fn,center=center);
cylinder(2*h+1,d=d-2*rand,$fn=fn,center=true);
}
if(name)echo(str("»»» »»» ",name," Ring Aussen∅= ",d,"mm — Mitte∅= ",d-rand,"mm — Innen∅= ",d-(rand*2),"mm groß und ",h," hoch ««« «««"));}
if(cd==0){difference()//Center durchmesser
{
cylinder(h,d=d+rand,$fn=fn,center=center);
cylinder(2*h+1,d=d-rand,$fn=fn,center=true);
}
if(name)echo(str("»»» »»» ",name," Ring Aussen∅= ",d+rand,"mm — Mitte∅= ",d,"mm — Innen∅= ",d-rand,"mm groß und ",h," hoch ««« «««"));}
if(cd==-1){difference()//innen durchmesser
{
cylinder(h,d=d+2*rand,$fn=fn,center=center);
cylinder(2*h+1,d=d,$fn=fn,center=true);
}
if(name)echo(str("»»» »»» ",name," Ring Aussen∅= ",d+2*rand,"mm — Mitte∅= ",d+rand,"mm — Innen∅= ",d,"mm groß und ",h," hoch ««« «««"));}
}
if (2D){
if(cd==1){difference()//Aussendurchmesser
{
circle(d=d,$fn=fn);
circle(d=d-2*rand,$fn=fn);
}
if(name)echo(str("»»» »»» ",name," Ring Aussen∅= ",d,"mm — Mitte∅= ",d-rand,"mm — Innen∅= ",d-(rand*2),"mm groß und 2D ««« «««"));}
if(cd==0){difference()//Center durchmesser
{
circle(d=d+rand,$fn=fn);
circle(d=d-rand,$fn=fn);
}
if(name)echo(str("»»» »»» ",name," Ring Aussen∅= ",d+rand,"mm — Mitte∅= ",d,"mm — Innen∅= ",d-rand,"mm groß und 2D ««« «««"));}
if(cd==-1){difference()//innen durchmesser
{
circle(d=d+2*rand,$fn=fn);
circle(d=d,$fn=fn);
}
if(name)echo(str("»»» »»» ",name," Ring Aussen∅= ",d+2*rand,"mm — Mitte∅= ",d+rand,"mm — Innen∅= ",d,"mm groß und 2D ««« «««"));}
}
}
DEL module RingX(layer,rand,durchmesser)//old don't use!
{
echo("<font color='red'size=10>WARNING - DONT USE , REMOVED -- USE: 'Ring(hoehe=l(layer);'</font>");
difference()
{
cylinder(l(layer),d=durchmesser,$fn=250,center=false);
translate([+0,0,-l(.5)])cylinder(l(layer+1),d=durchmesser-rand,$fn=250,center=false);
}
}
//function negRedOLD(num)=num<0?str("<font color=red ><b>",num,"</font>"):num; // display console text
//*/
if(version()[0]<2021)echo("<b><p style=background-color:#dddddd><font color='darkblue'size=4>---—————————————————————————————————————————————---</font>");
else echo("\n---————————————————————————————————————————---\n");
// for demo Objects (incomplete)
if (show) %color([0.6,+0.0,0.9,0.8]){
if (show==402)Strebe();
if (show==400)Pivot();
if (show==100)Trapez();
if (show==67)Tring();
if (show==66)Prisma();
if (show==65)Sichel();
if (show==64)Balg();
if (show==63)Area();
if (show==62)Spirale();
if (show==61)Gelenk();
if (show==60)Glied();
if (show==59)ReuleauxIntersect();
if (show==58)Box();
if (show==57)Tugel();
if (show==56)Vorterantrotor();
if (show==55)Kassette();
if (show==54) Sinuskoerper();
if (show==504) Achsenklammer();
if (show==503) Achshalter();
if (show==52) Freiwinkel();
if (show==51) Dreieck();
if (show==50) Rohr();
if (show==49)Bogen(grad=90,rad=5,d=3,l1=10,l2=12);
if (show==48)Imprint(txt1="››»»Rundherrummmm»»››",abstand=17.8,radius=20,rotz=-27,h=l(2),rotx=0,roty=0,stauchx=0,stauchy=0,txt0=" ",txt2=" ");
if (show==47)W5(kurv=15,arms=3,detail=.3,h=50,tz=+0,start=0.7,end=13.7,topdiameter=1,bottomenddiameter=+2);//Spiralarm
if (show==46)Text(text="»DEMO«",size=5,h=0,cx=0,cy=0,cz=0,center=0,radius=0);
if (show==45)Bitaufnahme();
if (show==44)Knochen();
if (show==43)Servotraeger(SON=1);
if (show==42)Gardena();
if (show==41)Luer();
if (show==40)DGlied1();
if (show==39)DGlied0();
if (show==38)Glied();
if (show==37)Kehle();
if (show==36)Twins();
if (show==35)Pille();
if (show==34)Torus2();
if (show==33)Torus();
if (show==32)Ring();
if (show==31)MK();
if (show==301)Kegelmantel();
if (show==30)Kegel();
if (show==300)Kugelmantel();
if (show==202)Halbrund();
if (show==29)Bezier()sphere(2,$fn=12);
if (show==28)Kontaktwinkel()sphere(d=10);
if (show==27)Gewinde();
if (show==26)Rundrum()circle(5);
if (show==261)Ttorus()scale([2,1,1])sphere(5,$fn=12);
if (show==25)Drehpunkt(x=15,y=2,z=-8,rx=20,ry=20,rz=20,messpunkt=1)cube(5);
if (show==24)Halb()sphere(20);
if (show==23)Klon(tx=10,rx=+25)cube(10,true);
if (show==22)Polar(x=10,y=10)cube(5);
if (show==21)Linear(es=0.5,s=1.0,e=4,x=90,y=0,z=0,r=0,re=0,center=+1,cx=+0)cube(5);
if (show==4){cube(50,true);Echo("50mm Cube",color="purple");}
if (show==3){cube(20,true);echo("20mm Cube",color="purple");}
if (show==2){cylinder(10,d=n(1),$fn=36,center=true);echo(str(n(1)," mm ∅ =n(1) cylinder×10mm"),color="purple");}
if (show==1){cube(10,true);echo("10mm Cube",color="purple");}
}
/* •••• Archive ••••
140|17 Changelog - beta 4.7
140|17 ADD Text - beta 4.7
141|17 ADD show
164|17 ADD Bogen CHG Schnitt rotation default - beta 4.9
165|17 ADD Gewinde - beta 5
169|17 CHG Polar - beta 5.01
171|17 ADD Dreieck - beta5.1
179|17 CHG t0↦-t0 - beta5.11
180|17 CHG ADD Freiwinkel - beta 5.2
182|17 CHG Polar ADD dr - beta 5.21
183|17 CHG Halbrund ADD parameter - beta 5.22
184|17 ADD Achshalter -beta 5.3
185|17 CHG Luer ADD lock ADD !male beta 5.41
187|17 CHG Ring ID OD CD - CHG Pille l corrected! DEL Stabhalter beta 5.5
189|17 CHG Achshalter ADD MutterSpiel - β5.51
202|17 ADD Sinuskoerpe, ADD color - β5.6
208|17 CHG Bogen fn= -β5.7
211|17 CHG Kegel ADD center - β5.8
213|17 ADD Col for color - β5.9
216|17 ADD $fn=fn, CHG Dreieck ADD Winkel -β6.0
226|17 ADD Kehle β6.1
232|17 ADD Gardena β6.2
237|17 ADD Kegelmantel β6.3
238|17 ADD Kugelmantel ADD Halb β6.4
240|17 ADD Klon β6.5
241|17 ADD Rohr ADD Drehpunkt β6.6
247|17 CHG Rohr CHG Bogen β6.7
276|17 CHG Dreieck ADD ha2 β6.8
338|17 CHG Glied - ring dicke auf 1.5n β6.9
029|18 CHG TEXT ADD font
058|18 CHG Kehle ADD fn2,r2 β7
060|18 ADD Kassette β7.1
062|18 CHG Linear center β7.2
104|18 ADD Vorterantrotor β7.3
113|18 CHG Vorterantrotor ADD Mklon β7.38
121|18 CHG Torus ADD dia CHG min β7.39
123|18 ADD Tiegel β7.4
135|18 ADD Reuleaux β7.5
138|18 ADD Box ADD ReuleauxIntersectβ7.6
143|18 ADD Bogendreieck
149|18 CHG Schnitt add center ADD Spirale β7.7
161|18 CHG Glied, DGlied β7.8
173|18 CHG Gardena β7.9
176|18 CHG Ring hoehe=h β8
183|18 CHG Kehle add convexity
191|18 ADD function Hypertenuse β8.1
194|18 ADD Area ADD Balg β8.2
200|18 CHG Box Add d2 β8.3
207|18 CHG Pille CHG Torus Add center β8.4
209|18 ADD Sichel β8.5
212|18 ADD Prisma β8.6
213|18 CHG Kugelmantel rand β8.6
214|18 ADD t3 β8.7
230|18 CHG Ring Add 2D β8.8
235|18 ADD Trapez β8.9
237|18 CHG Trapez x1/x2 β9.0
241|18 ADD Tring add Trapez&Prisma winkelinfo β9.1
244|18 CHG Sinuskoerper Add 2D, linextr Add fill β9.21
245|18 CHG Polar Chg END β9.3
246|18 CHG Halb Add 2D ADD Rundrum β9.4
254|18 CHG Spirale Add children β9.5
267|18 CHG Rundrum Add spiel ADD Kontaktwinkelβ9.6
273|18 CHG Text Add str CHG Gewinde warning β9.7
278|18 ADD Kathete ADD func Inkreis ADD func Umkreis β9.8
279|18 CHG Rundrum Add eck β9.9
288|18 ADD Ttorus ADD instructions ADD colors/size CHG Col Add $children β10
289|18 CHG Col Add trans β10.1
308|18 CHG Torus Add spheres ADD M β10.3
313|18 ADD Rund β10.4
324|18 ADD Achsenklammer CHG Schnitt debug on β10.5
327|18 ADD LinEx β10.6
331|18 CHG Spirale Add hull switch β10.7
332|18 ADD Bezier CHG add $children CHG Kassette add r CHG Rundrum chg r add intersect β10.9
333|18 CHG Bezier add funct/polygon Pivot ADD Pivot β11
334|18 CHG Bezier add pabs,ex,w β11.1 (chg to v.2018)
335|18 ADD Strebe β11.2
341|18 CHG Bogen fix β11.3
346|18 ADD Elipse β11.4
349|18 CHG LinEx Add twist β11.5
352|18 CHG Kontaktwinkel Add inv CHG ReuleauxIntersect Add 2D β11.6
357|18 ADD Laser3D β11.7 Chg β11.8
360|18 ADD function Kreis() β11.9
001|19 CHG Kreis Add r2 rand2 β12
002|19 Add Kegel/Kegelmantel/Dreieck grad β12.2
006|19 CHG Kegelmantel zversch CHG Kegel d2>d1 β12.3
010|19 CHG Col Add palette β12.4
011|19 CHG Kreis Add center β12.5
012|19 CHG Add switch for basis/prod objects β12.6
025|19 CHG LinEx Add slices β12.7
032|19 ADD KreisXY CHG Bezier detail/fn β12.8
059|19 ADD RotLang β12.9
060|19 CHG Linear chg e/s β13
073|19 CHG Imprint β13.1
075|19 ADD 5gon CHG RotLang β13.2
077|19 CHG Glied3 Gelenk CHG Linear s=0 β13.3
080|19 CHG Kassette add fn2,h chg size, β13.4
080|19 CHG Strebe add fn β13.5
093|19 CHG Col CHG Kassette β13.6
111|19 CHG LinEx ADD Grid CHG Prisma Add warning β13.7
113|19 CHG Bitaufnahme Add Star ADD Rand β13.8
117|19 CHG Ring CHG Achshalter CHG Achsklammer Add fn CHG commented depreciated functions β13.9
124|19 CHG Pille
127|19 CHG Grid
130|19 CHG Kreis Add rot ADD Gewinde2 ADD Tz() β14
132|19 CHG Gewinde2 Ren Gewinde ⇔ GewindeV1 (old version)β14.1
134|19 chg fn=$preview?-render chg vp - CHG Pivot chg size β14.2
135|19 CHG Linear Add n, chg fn, Schnitt warning
138|19 ADD VorterantQ β14.3
141|19 CHG Gewinde Add preset ½zoll chg r1,rh calc β14.4
147|19 CHG Prisma c1=c1-s
148|19 ADD Linse β14.5
150|19 CHG Strebe Add 2D CHG Kreis Add t=[0,0] CHG Kreis⇒KreisOrginal CHG Gewinde fn β14.6
151|19 CHG Kassette Add sizey
152|19 ADD Quad β14.7
157|19 CHG Sichel Add 2D β14.8
159|19 CHG Text font
168|19 CHG Pille ADD Disphenoid β14.9
169|19 CHG Gewinde β15.0
170|19 CHG Kassette
v2019.5
170|19 CHG Kreis() CHG Linse() β15.1
171|19 ADD Stern() - cleaned β15.2
172|19 CHG Kegelmantel
173|19 CHG Pille()
175|19 CHG Servokopf CHG Stern CHG Linse β15.3
176|19 CHG Pille add rad2
180|19 CHG Quad add r CHG Pille ADD Cring β15.4
181|19 CHG Quad CHG Cring
182|19 ADD Surface β15.5
185|19 CHG Kegel Add spitzenwinkel info
187|19 CHG Cring Add fn2
188|19 CHG Twins Add 2D
190|19 CHG Cring
194|19 CHG Polar Add mitte
203|19 CHG Gewinde ADD LinEx2 CHG Stern β15.6
205|19 CHG Gewinde ADD GewindeV3 chg spiel↦0.2 β15.7
207|19 CHG Surface Add abs
209|19 CHG n() chg nozzle
210|19 CHG Grid β15.8
211|19 CHG Grid Add element Nr CHG Polar
212|19 CHG Gewinde Add translate rotate
219|19 CHG Kassette Add help CHG Surfale Add help ADD helpM β15.9
222|19 CHG Kassette Add n
227|19 CHG Bogen Add Child ADD RStern CHG Pivot Add active ADD SCT β16
228|19 CHG Bogen CHG Rohr CHG RStern
229|19 CHG Stern rot90 CHG RStern ADD TangentenP
230|19 CHG Bogen chg green arm CHG RStern β16.1
236|19 CHG Cring rotate end2
240|19 ADD ZigZag β16.2
241|19 ADD module ZigZag,module Kreis
243|19 CHG Linse CHG Strebe Add grad help β16.4
244|19 CHG ADD WStrebe β16.5
245|19 CHG Kehle CHG Servotraeger CHG Servokopf Add Spiel
247|19 CHG Kehle Add a ax angle CHG Strebe Add center
248|19 CHG Bogen center rot
252|19 CHG Rundrum Add shift help CHG Kassette β16.6
254|19 CHG Quad Add grad, r vector CHG Pivot ADD Caliper β16.7
256|19 CHG Kehle Add 2D
258|19 ADD Tri
259|19 CHG Rundrum CHG Box‼ β16.8
261|19 CHG Kassette grad2, CHG Rundrum fn ADD RotEx β16.9
263|19 CHG T CHG Line CHG Col Add rainbow β17.0
264|19 CHG Line Add 2D CHG Col Add rainbow2 ADD Color β17.1
265|19 CHG Bogen Add SBogen β17.2
266|19 CHG Bogen fix fn FIX SBogen FIX Luer CHG Kegel Add h CHG Tri Chg center β17.3
267|19 CHG Rand Add delta chamfer
274|19 CHG SBogen CHG LinEx Add scale2 FIX Prisma CHG Caliperβ17.4
278|19 FIX Balg
279|19 FIX Gewinde
280|19 FIX LinEx CHG Color β17.5
283|19 ADD REcke
284|19 CHG Cring
285|19 ADD WStern ADD WaveEx ADD Superellipse ADD Flower CHG RotLang β17.6
291|19 CHG Kassette ADD Ccube
293|19 CHG Polar/Linear/Grid/Col/Color Add $idx CHG RotLang Add lz β17.7
296|19 ADD RotPoints CHG RotLang
299|19 CHG Stern Add help CHG LinEx CHG WStern
301|19 ADD Seg7
302|19 CHG Torus Add End β17.8
303|19 CHG CHG Superellipse Add $fn CHG Prisma Fix CHG Kassette Add 2D - cleanups β17.9
305|19 CHG Kassette Add base
308|19 CHG Superellipse Add Superllipsoid β18
309|19 CHG t-t3 tset for render
310|19 CHG LinEx Add $d $r
313|19 CHG helpM↦$helpM FIX RStern l calc FIX RotEx -grad calc fn
314|19 CHG Prisma Add list option CHG WStern ADD name Fix LinEx
315|19 FIX Quad basisX
316|19 CHG Quad add centerX=-1 trueX β18.1
319|19 FIX Prisma help
320|19 ADD PCBcase β18.2
321|19 CHG PCBcase Chg and Add clip
325|19 CHG TRI ADD Tri90
326|19 CHG Zylinder Add f3
330|19 CHG Flower CHG LinEx Add Mantelwinkel
333|19 CHG LinEx rotate
334|19 CHG Box Add help CHG debug β18.4
336|19 Fix Pille CHG PCBcase
342|19 CHG Zylinder Add altFaces
349|19 ADD Row β18.5
350|19 ADD new Pille2
351|19 CHG Spirale polygon generation
353|19 CHG Pille Add grad CHG Servokopf
359|19 CHG Rundrum Fix child help/info
360|19 ADD Welle
361|19 ADD Klammer FIX LinEx
008|20 ADD Kextrude
009|20 FIX LinEx scale list info
013|20 FIX Color $idx
017|20 CHG Text h=0↦2D
018|20 ADD Pin β18.6
023|20 FIX Bezier messpunkt CHG Pivot add txt/vec
024|20 CHG Pin add Achse
026|20 CHG Strebe
031|20 CHG Welle add overlap CHG Kehle add spiel vektor
053|20 CHG Bitaufnahme β18.7
055|20 CHG Kreis Add d, ADD Wkreis CHG Row β18.8
056|20 FIX Wkreis calc OD/ID CHG Stern Add center
057|20 ADD RSternFill CHG RStern
058|20 FIX WKreis,RSternFill
060|20 ADD Cycloid
062|20 ADD SQ CHG Cycloid Add linear β18.9
065|20 CHG LinEx Add rotCenter chg name CHG SBogen Add extrude β19.0
068|20 ADD Vollwelle
070|20 CHG Quad
073|20 CHG LinEx slices
076|20 CHG diverse name info
078|20 ADD Anschluss
080|20 CHG SBogen/Anschluss Add grad2 CHG Vollwelle Add mitte⇒β19.1
083|20 CHG Pin CHG LinEx
088|20 CHG SBogen Add info CHG Grid
101|20 CHG SBogen
112|20 CHG Prisma Add center
113|20 CHG Anschluss Add x0 CHG SBogen Add x0 ⇒β19.2
119|20 ADD Anordnung
123|20 CHG LinEx add grad vector x/y CHG Kreis CHG Cycloid
124|20 ADD CyclGetriebe ⇒ β19.3
131|20 ADD Sekante⇒ β19.31
132|20 CHG Torus ⇒β19.32
134|20 CHG Ttorus
135|20 CHG Achsenklamer Achshöhe CycloidZahn/Getriebe fn
139|20 CHG Prisma nama
140|20 ADD Buchtung CHG Kehle Add end β19.34
148|20 CHG Halbrund Add 2D help CHG Ttorus Add scale β19.35
155|20 ADD Bevel CHG Kassette name CHG Anordnung CHG Schnitt
156|20 CHG CycloidZahn/Gear β19.36
157|20 CHG Bevel Add -z CHG Konus β19.37
163|20 CHG CyclGetriebe d !preview add rot
181|20 CHG Anordnen CHG Kugelmantel Add help
190|20 ADD SRing β19.38
191|20 CHG Bogen Add Info
195|20 CHG Linse Add help CHG CyclGetriebe Chg spiel=.075
209|20 Fix Cring
211|20 CHG Kreis Add b β19.39
215|20 CHG Gardena Dichtungsring
220|20 CHG SBogen Add spiel
221|20 CHG Pille d<h ⇒rad
232|20 CHG Sichel Add help β19.4
236|20 CHG Text Add help
237|20 CHG Kehle fix end ↦ β19.5
237|20 CHG Kehle Add fase
244|20 CHG Quad n⇒name CHG Gewinde kern↦undef↦ β19.51
254|20 FIX n() for negatives β19.52
276|20 FIX Rund ir=0 β19.53
281|20 FIX Kegel name FIX Luer name β19.54
290|20 CHG Schnitt on=2 β19.55
317|20 CHG Anschluss Add Wand CHG SBogen Add neg radius warning β19.61
318|20 CHG REcke Add fn
321|20 CHG Torus end Add gradEnd β19.63
322|20 CHG Bezier ex CHG Text Add 2D
325|20 CHG Text chg center β19.65
328|20 CHG Gewinde Add center Add endMod ADD gw tw twF constβ19.66
330|20 FIX Linear chg for s
338|20 FIX Rand center
343|20 ADD Nut β19.7
344|20 FIX Nut β19.72
346|20 CHG Surface Add exp β19.73
347|20 CHG Surface Add mult
349|20 ADD DRing β19.75 CHG Anordnen c=undef CHG Rundrum CHG MKlon Add $idx
350|20 CHG Caliper Add end=2 β19.76
351|20 ADD DBogen β19.77 CHG RotEx+funcKreis abs(fn)
355|20 CHG Linear s⇒$idx
357|20 CHG Color
361|20 CHG Anordnen
2021
000|21 CHG Klammer l vector CHG Quad r=undef β19.78
005|21 CHG Glied FIX LinEx FIX Schnitt β19.79
007|21 CHG Vollwelle Add h β19.8
011|21 CHG Vollwelle Add l CHG LinEx Add End ADD inch β19.81
013|21 CHG Pille chg rad list FIX Kegelmantel FIX LinEx hc=0 CHG Klon Add $idx CHG LinEx end FIX Kassette name β19.82
016|21 FIX Grid CHG Vollwelle list fn CHG Nut Add grad β19.821
017|21 FIX CycloidZahn β19.822
018|21 FIX Pille β19.83
019|21 FIX SBogen/Bogen
022|21 ADD gradB CHG Quad warning CHG Text help radius β19.84
023|21 ADD funct vollwelle CHG Gewinde test vollwelle
025|21 ADD fonts styles lists CHG Text β19.85
026|21 CHG Text Add rot fix -h CHG Vollwellen grad list FIX Anschluss r1/2 β19.86
027|21 CHG Linear e first CHG Grid e first Add s
028|21 CHG Vollwelle fix h replaced w. vollwelle() β19.88
029|21 ADD GewindeV4 CHG Gewinde β19.89
030|21 CHG GewindeV4 autocalc warning variables ADD useVersion ADD func gradS CHG Ring method FIX Prisma FIX LinEx β19.90
031|21 CHG Pille Rad2 CHG Sichel Add step CHG DBogen Add spiel CHG Text fn FIX Kegel
040|21 CHG Kegelmantel CHG Gewinde Add konisch β19.94
042|21 CHG vollwelle g2 end Fix grad list,CHG GewindeV4 konisch grad2, FIX Caliper help β19.95
043|21 FIX Bogen n CHG Gewinde Add ISO presets β19.951
045|21 FIX Quad x=list CHG Drehpunkt Add vector help β19.952
046|21 CHG Quad r gerunded CHG LinEx max slices Fix Luer β19.953
051|21 FIX Pille rad2
055|21 CHG Bogen Add l[] CHG Rundrum x[] β19.955
056|21 CHG Gewinde
057|21 FIX Nut console Add Pfeil CHG console colors β19.957
058|21 FIX Linear e=1/0 β19.958 CHG Anordnen es⇔e es=Sehne
059|21 CHG Rund Add vector ADD func radiusS
060|21 ADD func radiusS+grad FIX Quad rundung CHG LinEx warning+h2=0 β19.960
β21.60
062|21 CHG Gewinde add tz in preset chg spiel CHG DRing Add center FIX Kehle bool
063|21 FIX DBogen FIX Gewinde wand
064|21 FIX Gewinde children old Version CHG DRing Add grad
068|21 CHG Ring Add Id CHG Torus Add endRot ADD func Inch FIX Kehle end
069|21 CHG Kehle Add Fillet
070|21 CHG Kehle Add dia/Fillet CHG Ring Add grad CHG help CHG Bevel Add messpunkt CHG Anordnen Add rot
078|21 CHG Schnitt center bool CHG Color Add color names CHG Pfeil Add d
079|21 CHG Gewinde Add gb
081|21 FIX RStern n
082|21 ADD Rosette
083|21 ADD Scale CHG Rosette Add children Del round
085|21 ADD GT
087|21 FIX LinEx warning CHG WStrebe grad2 undef
089|21 FIX LinEx grad list CHG GT Add fn FIX SRing h
091|21 ADD Egg ADD HelpTxt ADD InfoTxt CHG GT2 CHG Torus end fn2
092|21 ADD BB FIX DBogen CHG Egg Add breit CHG Anordnen
093|21 ADD $fs CHG DBogen CHG Egg ADD func fs2fn
096|21 CHG BB Add achse center fixes FIX Polar e=0
098|21 FIX GewindeV3
100|21 CHG Strebe Add fn2
105|21 FIX Infotxt
108|21 ADD Echo FIX HelpTxt InfoTxt for v[2021] CHG Achsenklammer CHG Ring help
111|21 CHG Gewinde helptxt Fix SBogen -grad
118|21 CHG Color Add spread
119|21 FIX LinEx
127|21 CHG Zylinder faces
130|21 CHG Zylinder var
138|21 ADD HexGrid
139|21 CHG Zylinder Add center
142|21 FIX Vollwelle
148|21 CHG Text add spacing
149|21 ADD HypKehle
151|21 CHG HexGrid es vector ADD PrintBed
164|21 CHG Text spacing
166|21 CHG Text not empty CHG vpt printBed/2
176|21 CHG Pin
178|21 CHG Rohr
181|21 CHG Cring
194|21 ADD Abzweig FIX Anschluss
215|21 ADD printPos FIX Abzweig
216|21 ADD assert Version
217|21 CHG Zylinder Add lambda
218|21 CHG Pille Add r CHG Abzweig CHG T Add vector
224|21 FIX printPos vpt
235|21 FIX Luer 33.3
237|21 CHG Zylinder lambda
245|21 CHG menue layer nozzle var
260|21 FIX LinEx list $r
268|21 FIX Gewinde Mantel
272|21 FIX removed ,, (test with [2021,9]) some formating regarding version
273|21 FIX formating for v21
276|21 FIX GewindeV4 faces error grad<360
277|21 FIX LinEx vector, del Schnitt convexity, cCube
280|21 FIX Polar 1 with end<360
281|21 FIX Cring bool
283|21 FIX Gewinde winkel
284|21 FIX Kreis ceil(fn) CHG Bevel messpunkt FIX Trapez help
285|21 FIX Ring rot 90
286|21 FIX Anordnen;
287|21 CHG Torus Add endspiel FIX Kreis r=0 b
288|21 FIX Halb
289|21 FIX Pille accuracy issue ADD minVal
290|21 ADD clampToX0 FIX Pille help info FIX Torus grad end
291|21 ADD KreisSeg
292|21 FIX Cycloid points, Cyclgetriebe bool center + info CHG Kreis r=0 rand=0
295|21 FIX HelpTxt,InfoTxt ↦ scad version > 2021
296|21 CHG Vollwelle/ECHO
297|21 CHG Gewindev4 calc dn=undef
298|21 CHG Echo add color characters
299|21 CHG Gewinde g rot CHG GewindeV4 add g autocalc
301|21 CHG Tugel Add rand,help fix name,CHG help info DBogen
305|21 CHG Bezier Add $idx for children ADD vektorWinkel ADD v3
306|21 CHG Echo Add colors CHG Pfeil CHG Anordnen CHG Halbrund CHG Imprint
307|21 CHG helptext changes CHG Glied ADD GT2Pulley FIX Superellipse FIX LinEx2
208|21 FIX help Diverse
309|21 CHG Gewinde Add other FIX Zylinder fix ub CHG SBogen ADD parentList
310|21 FIX Anschluss
311|21 FIX Grid ub FIX v3() CHG Bezier CHG parentList CHG SBogen
312|21 FIX Strebe
313|21 Reordering modules ADD teiler FIX Help txt ADD MO fix missing obj warnings
314|21 ADD Example Fix Linear infotxt
315|21 CHG Anordnen Add center CHG Pfeil add center add inv CHG Calliper CHG Pivot
316|21 ADD 3Projection CHG Scale CHG Halb CHG Rand add help
317|21 CHG WStern help CHG Caliper CHG GT2Pull ADD gcode CHG Tri, Quad, Kreis
318|21 CHG Tri90, Linse, Pivot, Star, 7Seg, DBogen
319|21 ADD b() CHG PCBcase
320|21 CHG view to viewportSize
321|21 CHG Kehle ADD KBS REN KreisSeg↦TorusSeg
324|21 ADD scaleGrad CHG RotEx $fa
325|21 !CHG Kreis rotate 180 for center==true ⇒ CHG Quad ⇒ Egg ⇒ WKreis ⇒ GT ⇒ RSternFill ⇒ Tri CHG LinEx CHG Bezier CHG Ttorus CHG Torus CHG Rundrum CHG Pivot CHG Bogen
326|21 CHG CyclGetriebe CHG Pivot CHG Kreis CHG Klammer CHG KBS add top
327|21 CHG HypKehle/HypKehleD ADD Isopshere Add pPos
3272|21 FIX Issue #2
328|21 CHG $helpM use CHG HelpTxt CHG Quad CHG Rundrum CHG n↦name
3281|21 CHG KBS CHG CHG $info
3282|21 CHG Quad Add tangent + Fixes
329|21 CHG Polar Prisma help info CHG Anordnen FIX Bogen(2D) SBogen CHG Kontaktwinkel CHG b(add bool) Add $tab
330|21 FIX HypKehle ADD VarioFill CHG Color CHG InfoTxt CHG Flower CHG Cycloid FIX DBogen FIX Kegel info/help Kegelmantel
331|21 CHG Abzweig CHG Kontaktwinkel
332|21 CHG Linear CHG Surface help Scale 2D
333|21 ADD easterEgg
334|21 FIX Bezier FIX Line
335|21 FIX Strebe FIX Rundrum ADD is_parent( needs2D )CHG VarioFill
336|21 FIX Vollwelle grad2=90 FIX Strebe assert CHG Nut CHG negRed CHG Quad CHG Tri add c
337|21 FIX SBogen 2D CHG Anschluss FIX Bogen CHG Bezier CHG gcode CHG Ttorus
338|21 CHG Color $idxON CHG Bezier hull=false
339|21 FIX Ttorus diverse $tab / $info fixes HypKehle Polar Linear Grid DBogen CHG SBogen
340|21 ADD m CHG div tab info CHG InfoTxt FIX WaveEx
341|21 FIX Pfeil d FIX Quad
346|21 ADD mPoints CHG m add s
349|21 CHG Bezier
350|21 ADD function Quad ADD function octa ADD OctaH
351|21 ADD function Stern CHG Torus End true for children CHG Sichel CHG Spirale
354|21 CHG HexGrid info FIX Strebe
355|21 CHG Bogen CHG Pille CHG GewindeV3 help
356|21 FIX Servokopf FIX Glied CHG HypKehleD CHG TorusSeg
357|21 CHG Rohr/Bogen CHG OctaH CHG TorusSeg REN ⇒ RingSeg CHG Gewinde version undef⇒ new FIX V2
358|21 CHG Box help CHG Gewinde CHG OctaH
359|21 ADD Points Add Helper help CHG help menu
360|21 CHG Anordnen
361|21 CHG Vollwelle CHG fVollwelle Add tMitte CHG multiple (help) Menu HelpTxt Buchtung KreisSeg
362|21 CHG RotEx fn CHG Halbrund help
363|21 CHG func stern quad bezier kreis CHG Kehle help fix end spiel CHG Buchtung help
364|21 FIX Ring REP Kreis kreis
*/
Reference in New Issue Copy Permalink