Merge PR #35
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3557ecb1ac
268
2Dshapes.scad
268
2Dshapes.scad
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* Copyright (C) 2012 Peter Uithoven
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*
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* License: LGPL 2.1 or later
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* 2D Shapes
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* ngon(sides, radius, center=false);
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* complexRoundSquare(size,rads1=[0,0], rads2=[0,0], rads3=[0,0], rads4=[0,0], center=true)
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* roundedSquare(pos=[10,10],r=2)
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* ellipsePart(width,height,numQuarters)
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* donutSlice(innerSize,outerSize, start_angle, end_angle)
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* pieSlice(size, start_angle, end_angle) //size in radius(es)
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* ellipse(width, height) {
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*/
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// 2D Shapes
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//ngon(sides, radius, center=false);
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//complexRoundSquare(size,rads1=[0,0], rads2=[0,0], rads3=[0,0], rads4=[0,0], center=true)
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//roundedSquare(pos=[10,10],r=2)
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//ellipsePart(width,height,numQuarters)
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//donutSlice(innerSize,outerSize, start_angle, end_angle)
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//pieSlice(size, start_angle, end_angle) //size in radius(es)
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//ellipse(width, height) {
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// Examples - (layouts.scad is required for exapmles)
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// example2DShapes(); use <layouts.scad>;
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// Examples
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/*use <layouts.scad>;
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grid(105,105,true,4)
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{
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// ellipse
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ellipse(50,75);
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module example2DShapes(){
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grid(105,105,true,4)
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{
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// ellipse
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ellipse(50,75);
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// part of ellipse (a number of quarters)
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ellipsePart(50,75,3);
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ellipsePart(50,75,2);
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ellipsePart(50,75,1);
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// part of ellipse (a number of quarters)
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ellipsePart(50,75,3);
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ellipsePart(50,75,2);
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ellipsePart(50,75,1);
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// complexRoundSquare examples
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complexRoundSquare([75,100],[20,10],[20,10],[20,10],[20,10]);
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complexRoundSquare([75,100],[0,0],[0,0],[30,50],[20,10]);
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complexRoundSquare([50,50],[10,20],[10,20],[10,20],[10,20],false);
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complexRoundSquare([100,100]);
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complexRoundSquare([100,100],rads1=[20,20],rads3=[20,20]);
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// complexRoundSquare examples
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complexRoundSquare([75,100],[20,10],[20,10],[20,10],[20,10]);
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complexRoundSquare([75,100],[0,0],[0,0],[30,50],[20,10]);
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complexRoundSquare([50,50],[10,20],[10,20],[10,20],[10,20],false);
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complexRoundSquare([100,100]);
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complexRoundSquare([100,100],rads1=[20,20],rads3=[20,20]);
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// pie slice
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pieSlice(50,0,10);
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pieSlice(50,45,190);
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pieSlice([50,20],180,270);
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// pie slice
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pieSlice(50,0,10);
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pieSlice(50,45,190);
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pieSlice([50,20],180,270);
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// donut slice
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donutSlice(20,50,0,350);
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donutSlice(30,50,190,270);
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donutSlice([40,22],[50,30],180,270);
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donutSlice([50,20],50,180,270);
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donutSlice([20,30],[50,40],0,270);
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}*/
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//----------------------
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// size, top left radius, top right radius, bottom right radius, bottom left radius, center
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module complexRoundSquare(size,rads1=[0,0], rads2=[0,0], rads3=[0,0], rads4=[0,0], center=true)
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{
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width = size[0];
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height = size[1];
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//%square(size=[width, height],center=true);
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x1 = 0-width/2+rads1[0];
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y1 = 0-height/2+rads1[1];
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x2 = width/2-rads2[0];
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y2 = 0-height/2+rads2[1];
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x3 = width/2-rads3[0];
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y3 = height/2-rads3[1];
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x4 = 0-width/2+rads4[0];
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y4 = height/2-rads4[1];
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scs = 0.1; //straight corner size
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x = (center)? 0: width/2;
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y = (center)? 0: height/2;
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translate([x,y,0])
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{
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hull() {
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// top left
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if(rads1[0] > 0 && rads1[1] > 0)
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translate([x1,y1]) mirror([1,0]) ellipsePart(rads1[0]*2,rads1[1]*2,1);
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else
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translate([x1,y1]) square(size=[scs, scs]);
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// top right
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if(rads2[0] > 0 && rads2[1] > 0)
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translate([x2,y2]) ellipsePart(rads2[0]*2,rads2[1]*2,1);
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else
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translate([width/2-scs,0-height/2]) square(size=[scs, scs]);
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// bottom right
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if(rads3[0] > 0 && rads3[1] > 0)
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translate([x3,y3]) mirror([0,1]) ellipsePart(rads3[0]*2,rads3[1]*2,1);
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else
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translate([width/2-scs,height/2-scs]) square(size=[scs, scs]);
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// bottom left
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if(rads4[0] > 0 && rads4[1] > 0)
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translate([x4,y4]) rotate([0,0,-180]) ellipsePart(rads4[0]*2,rads4[1]*2,1);
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else
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#translate([x4,height/2-scs]) square(size=[scs, scs]);
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}
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}
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// donut slice
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donutSlice(20,50,0,350);
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donutSlice(30,50,190,270);
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donutSlice([40,22],[50,30],180,270);
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donutSlice([50,20],50,180,270);
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donutSlice([20,30],[50,40],0,270);
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}
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}
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// end examples ----------------------
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module complexRoundSquare(
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size, // Size
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rads1=[0,0], // Top left radius
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rads2=[0,0], // Top right radius
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rads3=[0,0], // Bottom right radius
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rads4=[0,0], // Bottom left radius
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center=true // center
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) {
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width = size[0];
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height = size[1];
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// %square(size=[width, height],center=true);
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x1 = 0-width/2+rads1[0];
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y1 = 0-height/2+rads1[1];
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x2 = width/2-rads2[0];
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y2 = 0-height/2+rads2[1];
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x3 = width/2-rads3[0];
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y3 = height/2-rads3[1];
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x4 = 0-width/2+rads4[0];
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y4 = height/2-rads4[1];
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scs = 0.1; // straight corner size
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x = (center)? 0: width/2;
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y = (center)? 0: height/2;
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translate([x,y,0])
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hull()
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{
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// top left
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if(rads1[0] > 0 && rads1[1] > 0)
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translate([x1,y1])
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mirror([1,0])
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ellipsePart(rads1[0]*2,rads1[1]*2,1);
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else
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translate([x1,y1])
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square(size=[scs, scs]);
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// top right
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if(rads2[0] > 0 && rads2[1] > 0)
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translate([x2,y2])
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ellipsePart(rads2[0]*2,rads2[1]*2,1);
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else
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translate([width/2-scs,0-height/2])
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square(size=[scs, scs]);
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// bottom right
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if(rads3[0] > 0 && rads3[1] > 0)
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translate([x3,y3])
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mirror([0,1])
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ellipsePart(rads3[0]*2,rads3[1]*2,1);
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else
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translate([width/2-scs,height/2-scs])
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square(size=[scs, scs]);
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// bottom left
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if(rads4[0] > 0 && rads4[1] > 0)
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translate([x4,y4])
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rotate([0,0,-180])
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ellipsePart(rads4[0]*2,rads4[1]*2,1);
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else
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#translate([x4,height/2-scs])
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square(size=[scs, scs]);
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}
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}
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module roundedSquare(pos=[10,10],r=2) {
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minkowski() {
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square([pos[0]-r*2,pos[1]-r*2],center=true);
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circle(r=r);
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}
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minkowski()
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{
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square([pos[0]-r*2,pos[1]-r*2],center=true);
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circle(r=r);
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}
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}
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// round shapes
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// The orientation might change with the implementation of circle...
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module ngon(sides, radius, center=false){
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rotate([0, 0, 360/sides/2]) circle(r=radius, $fn=sides, center=center);
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module ngon(sides, radius, center=false) {
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rotate([0, 0, 360/sides/2])
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circle(r=radius, $fn=sides, center=center);
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}
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module ellipsePart(width,height,numQuarters)
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{
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module ellipsePart(width,height,numQuarters) {
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o = 1; //slight overlap to fix a bug
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difference()
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{
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ellipse(width,height);
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if(numQuarters <= 3)
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translate([0-width/2-o,0-height/2-o,0]) square([width/2+o,height/2+o]);
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if(numQuarters <= 2)
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translate([0-width/2-o,-o,0]) square([width/2+o,height/2+o*2]);
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if(numQuarters < 2)
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translate([-o,0,0]) square([width/2+o*2,height/2+o]);
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}
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difference()
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{
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ellipse(width,height);
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if(numQuarters <= 3)
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translate([0-width/2-o,0-height/2-o,0])
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square([width/2+o,height/2+o]);
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if(numQuarters <= 2)
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translate([0-width/2-o,-o,0])
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square([width/2+o,height/2+o*2]);
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if(numQuarters < 2)
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translate([-o,0,0])
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square([width/2+o*2,height/2+o]);
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}
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}
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module donutSlice(innerSize,outerSize, start_angle, end_angle)
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{
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module donutSlice(innerSize,outerSize, start_angle, end_angle) {
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difference()
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{
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pieSlice(outerSize, start_angle, end_angle);
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if(len(innerSize) > 1) ellipse(innerSize[0]*2,innerSize[1]*2);
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else circle(innerSize);
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if(len(innerSize) > 1)
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ellipse(innerSize[0]*2,innerSize[1]*2);
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else
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circle(innerSize);
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}
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}
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module pieSlice(size, start_angle, end_angle) //size in radius(es)
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{
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rx = ((len(size) > 1)? size[0] : size);
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ry = ((len(size) > 1)? size[1] : size);
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module pieSlice(size, start_angle, end_angle) { //size in radius(es)
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rx = len(size) > 1? size[0] : size;
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ry = len(size) > 1? size[1] : size;
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trx = rx* sqrt(2) + 1;
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try = ry* sqrt(2) + 1;
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a0 = (4 * start_angle + 0 * end_angle) / 4;
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@ -141,12 +172,13 @@ module pieSlice(size, start_angle, end_angle) //size in radius(es)
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a2 = (2 * start_angle + 2 * end_angle) / 4;
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a3 = (1 * start_angle + 3 * end_angle) / 4;
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a4 = (0 * start_angle + 4 * end_angle) / 4;
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if(end_angle > start_angle)
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intersection() {
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if(len(size) > 1)
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ellipse(rx*2,ry*2);
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else
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circle(rx);
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if(len(size) > 1)
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ellipse(rx*2,ry*2);
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else
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circle(rx);
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polygon([
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[0,0],
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[trx * cos(a0), try * sin(a0)],
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@ -155,9 +187,11 @@ module pieSlice(size, start_angle, end_angle) //size in radius(es)
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[trx * cos(a3), try * sin(a3)],
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[trx * cos(a4), try * sin(a4)],
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[0,0]
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]);
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]);
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}
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}
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module ellipse(width, height) {
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scale([1, height/width, 1]) circle(r=width/2);
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scale([1, height/width, 1])
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circle(r=width/2);
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}
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