Created
September 14, 2024 20:52
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JSCAD dodecahedron with exact coordinates from Wikipedia and adjacengy lists
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| const jscad = require('@jscad/modeling') | |
| const { colorize } = jscad.colors | |
| const { sphere, cylinder } = jscad.primitives | |
| const { rotate, translate } = jscad.transforms | |
| const { vec3 } = jscad.maths | |
| er=0.02 | |
| function vertex(p) { return sphere({ center: p, radius: 3*er}) } | |
| function edge(v, w) { | |
| d = [0, 0, 0] | |
| x = [0, 0, 0] | |
| vec3.subtract(d, w, v) | |
| vec3.add(x, v, w) | |
| vec3.scale(x, x, 0.5) | |
| return colorize([0, 0, 1, 1], | |
| translate(x, | |
| rotate([0, Math.acos(d[2]/vec3.length(d)), Math.atan2(d[1], d[0])], | |
| cylinder({radius: er, height: vec3.length(d)}) | |
| ) | |
| ) | |
| ) | |
| } | |
| function main() { | |
| dod=[] | |
| out=[] | |
| // https://en.wikipedia.org/wiki/Dodecahedron#Cartesian_coordinates | |
| phi=(Math.sqrt(5)+1)/2 | |
| h=1/phi | |
| for(x=-1;x<=1;x+=2) | |
| for(y=-1;y<=1;y+=2) | |
| for(z=-1;z<=1;z+=2) | |
| dod.push([x,y,z]) | |
| for(x=-1;x<=1;x+=2) | |
| for(y=-1;y<=1;y+=2){ | |
| dod.push([0,x*(1+h),y*(1-h*h)]) | |
| dod.push([x*(1+h),y*(1-h*h),0]) | |
| dod.push([y*(1-h*h),0,x*(1+h)]) | |
| } | |
| adj=[[8,9,10],[11,9,16],[10,12,14],[12,16,17],[8,13,15], | |
| [11,15,19],[13,14,18],[17,18,19],[0,4,11],[0,1,12], | |
| [0,2,13],[1,5,8],[2,9,3],[4,6,10],[6,2,17], | |
| [4,5,18],[1,3,19],[14,7,3],[6,7,15],[7,5,16]] | |
| dod.forEach((p) => out.push(vertex(p))) | |
| adj.forEach((v,i) => | |
| v.forEach((j) => | |
| {if (i<j) | |
| out.push(edge(dod[i], dod[j])) | |
| } | |
| ) | |
| ) | |
| return [ | |
| out | |
| ] | |
| } | |
| module.exports = { main } |
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Just use in jscad.app with this link:
https://jscad.app/#https://gist.githubusercontent.com/Hermann-SW/6dcc5c1358914901e38bacb4b336f798/raw/1b593a0442a9e888472d43813ffa4f05d9a08d1b/dodecahedron.js