JSCAD dodecahedron with exact coordinates from Wikipedia and adjacengy lists

dodecahedron.js

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 }

Just use in jscad.app with this link:
https://jscad.app/#https://gist.githubusercontent.com/Hermann-SW/6dcc5c1358914901e38bacb4b336f798/raw/1b593a0442a9e888472d43813ffa4f05d9a08d1b/dodecahedron.js