Mysterium Cosmographicum - OpenProcessing

mySketch
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let phi;
let oct;
let isoc;
let dodec;
let tetr;
let hexa;
​
let a;
let b;
let c;
let d;
let e;
let f;
let g;
​
​
function setup(){
  phi = (1+(sqrt(5)))/2; //golden ratio
  oct = 94;
  isoc = 100;
  dodec = 69;
  tetr = 150;
  hexa = 476;
​
//octahedron
  a = (1/(2*sqrt(2)))*oct;
  b = (1/2)*oct;
//isocahedron
  c = ((1/2))*isoc;
  d = (1/(2*phi))*isoc;
//dodecahedron
  e = (1/phi)*dodec;
  f = (2-phi)*dodec;
//tetrahedron
  g = (1)*tetr;
//hexahedron
//use box function
​
  createCanvas(1100, 600,WEBGL);
  noFill();
  colorMode(HSB, 255);
}
​
function draw(){
  background(150);
  stroke(0);
  translate(width/2,height/2,0);
    
  camera(mouseX-width/1.1, mouseY-height/1.1, 500.0, // eyeX, eyeY, eyeZ
         0.0, 0.0, 0.0, // centerX, centerY, centerZ
         0.0, 1.0, 0.0);
​
  /*
  noStroke();
  sphereDetail(50);
  fill(0,20);
  sphere(50);
  noFill();
  */
  
  //octahedron with a/b
  stroke(51,255,255);
  push();
  rotateX(radians(25));
  beginShape();
    vertex(-a,0,a);
    vertex(-a,0,-a);
    vertex(0,b,0);
  endShape(CLOSE);
  beginShape();
    vertex(-a,0,-a);
    vertex(a,0,-a);
    vertex(0,b,0);
  endShape(CLOSE);
  beginShape();
    vertex(a,0,-a);
    vertex(a,0,a);
    vertex(0,b,0);
  endShape(CLOSE);
  beginShape();
    vertex(a,0,a);
    vertex(-a,0,a);
    vertex(0,b,0);
  endShape(CLOSE);
  beginShape();
    vertex(a,0,-a);
    vertex(a,0,a);
    vertex(0,-b,0);
  endShape(CLOSE);
  beginShape();
    vertex(a,0,a);
    vertex(-a,0,a);
    vertex(0,-b,0);
  endShape(CLOSE);
  beginShape();
    vertex(-a,0,a);
    vertex(-a,0,-a);
    vertex(0,-b,0);
  endShape(CLOSE);
  beginShape();
    vertex(-a,0,-a);
    vertex(a,0,-a);
    vertex(0,-b,0);
  endShape(CLOSE);
  pop();
  
  //isocahedron with d/c
  stroke(102,255,255);
  beginShape();
    vertex(0,d,-c);
    vertex(d,c,0);
    vertex(-d,c,0);
  endShape(CLOSE);
  beginShape();
    vertex(0,d,c);
    vertex(-d,c,0);
    vertex(d,c,0);
  endShape(CLOSE);
  beginShape();
    vertex(0,d,c);
    vertex(0,-d,c);
    vertex(-c,0,d);
  endShape(CLOSE);
  beginShape();
    vertex(0,d,c);
    vertex(c,0,d);
    vertex(0,-d,c);
  endShape(CLOSE);
  beginShape();
    vertex(0,d,-c);
    vertex(0,-d,-c);
    vertex(c,0,-d);
  endShape(CLOSE);
  beginShape();
    vertex(0,d,-c);
    vertex(-c,0,-d);
    vertex(0,-d,-c);
  endShape(CLOSE);
  beginShape();
    vertex(0,-d,c);
    vertex(d,-c,0);
    vertex(-d,-c,0);
  endShape(CLOSE);
  beginShape();
    vertex(0,-d,-c);
    vertex(-d,-c,0);
    vertex(d,-c,0);
  endShape(CLOSE);
  beginShape();
    vertex(-d,c,0);
    vertex(-c,0,d);
    vertex(-c,0,-d);
  endShape(CLOSE);
  beginShape();
    vertex(-d,-c,0);
    vertex(-c,0,-d);
    vertex(-c,0,d);
  endShape(CLOSE);
  beginShape();
    vertex(d,c,0);
    vertex(c,0,-d);
    vertex(c,0,d);
  endShape(CLOSE);
  beginShape();
    vertex(d,-c,0);
    vertex(c,0,d);
    vertex(c,0,-d);
  endShape(CLOSE);
  beginShape();
    vertex(0,d,c);
    vertex(-c,0,d);
    vertex(-d,c,0);
  endShape(CLOSE);
  beginShape();
    vertex(0,d,c);
    vertex(d,c,0);
    vertex(c,0,d);
  endShape(CLOSE);
  beginShape();
    vertex(0,d,-c);
    vertex(-d,c,0);
    vertex(-c,0,-d);
  endShape(CLOSE);  
  beginShape();
    vertex(0,d,-c);
    vertex(c,0,-d);
    vertex(d,c,0);
  endShape(CLOSE);
  beginShape();
    vertex(0,-d,-c);
    vertex(-c,0,-d);
    vertex(-d,-c,0);
  endShape(CLOSE);
  beginShape();
    vertex(0,-d,-c);
    vertex(d,-c,0);
    vertex(c,0,-d);
  endShape(CLOSE);
  beginShape();
    vertex(0,-d,c);
    vertex(-d,-c,0);
    vertex(-c,0,d);
  endShape(CLOSE);
  beginShape();
    vertex(0,-d,c);
    vertex(c,0,d);
    vertex(d,-c,0);
  endShape(CLOSE);
  
  //dodecahedron with e/f
  stroke(153,255,255);
  beginShape();
    vertex(f,0,dodec);
    vertex(-f,0,dodec);
    vertex(-e,e,e);
    vertex(0,dodec,f);
    vertex(e,e,e);
  endShape(CLOSE);
  beginShape();
    vertex(-f,0,dodec);
    vertex(f,0,dodec);
    vertex(e,-e,e);
    vertex(0,-dodec,f);
    vertex(-e,-e,e);
  endShape(CLOSE);
  beginShape();
    vertex(f,0,-dodec);
    vertex(-f,0,-dodec);
    vertex(-e,-e,-e);
    vertex(0,-dodec,-f);
    vertex(e,-e,-e);
  endShape(CLOSE);
  beginShape();
    vertex(-f,0,-dodec);
    vertex(f,0,-dodec);
    vertex(e,e,-e);
    vertex(0,dodec,-f);
    vertex(-e,e,-e);
  endShape(CLOSE);
  beginShape();
    vertex(0,dodec,-f);
    vertex(0,dodec,f);
    vertex(e,e,e);
    vertex(dodec,f,0);
    vertex(e,e,-e);
  endShape(CLOSE);
  beginShape();
    vertex(0,dodec,f);
    vertex(0,dodec,-f);
    vertex(-e,e,-e);
    vertex(-dodec,f,0);
    vertex(-e,e,e);
  endShape();
  beginShape();
    vertex(0,-dodec,-f);
    vertex(0,-dodec,f);
    vertex(-e,-e,e);
    vertex(-dodec,-f,0);
    vertex(-e,-e,-e);
  endShape(CLOSE);
  beginShape();
    vertex(0,-dodec,f);
    vertex(0,-dodec,-f);
    vertex(e,-e,-e);
    vertex(dodec,-f,0);
    vertex(e,-e,e);
  endShape(CLOSE);
  beginShape();
    vertex(dodec,f,0);
    vertex(dodec,-f,0);
    vertex(e,-e,e);
    vertex(f,0,dodec);
    vertex(e,e,e);
  endShape(CLOSE);
  beginShape();
    vertex(dodec,-f,0);
    vertex(dodec,f,0);
    vertex(e,e,-e);
    vertex(f,0,-dodec);
    vertex(e,-e,-e);
  endShape(CLOSE);
  beginShape();
    vertex(-dodec,f,0);
    vertex(-dodec,-f,0);
    vertex(-e,-e,-e);
    vertex(-f,0,-dodec);
    vertex(-e,e,-e);
  endShape(CLOSE);
  beginShape();
    vertex(-dodec,-f,0);
    vertex(-dodec,f,0);
    vertex(-e,e,e);
    vertex(-f,0,dodec);
    vertex(-e,-e,e);
  endShape(CLOSE);
  
  //tetrahedron
  stroke(204,255,255);
  push();
  translate(0,34,0);
  rotateZ(10);
  rotateX(15);
  
  beginShape();
    vertex(g,g,g);
    vertex(-g,g,-g);
    vertex(g,-g,-g);
  endShape(CLOSE);
  beginShape();
    vertex(-g,g,-g);
    vertex(-g,-g,g);
    vertex(g,-g,-g);
  endShape(CLOSE);
  beginShape();
    vertex(g,g,g);
    vertex(g,-g,-g);
    vertex(-g,-g,g);
  endShape(CLOSE);
  beginShape();
    vertex(g,g,g);
    vertex(-g,-g,g);
    vertex(-g,g,-g);
  endShape(CLOSE);
  pop();
  
  //hexahedron
  stroke(255,255,255);
  push();
  translate(-25,13,0);
  box(hexa);
  pop();
}