- See "Canvas K3D TODO list" on Google Docs: 
https://docs.google.com/document/d/1_ST52vnfKHd3mFe0MmomseIhNIuvKT-k5RXsT5KRM00/edit

Simple Cube:

      init(
         [{x:-1,y:1,z:-1}, {x:1,y:1,z:-1}, {x:1,y:-1,z:-1}, {x:-1,y:-1,z:-1}, {x:-1,y:1,z:1}, {x:1,y:1,z:1}, {x:1,y:-1,z:1}, {x:-1,y:-1,z:1}],
         [{a:0,b:1}, {a:1,b:2}, {a:2,b:3}, {a:3,b:0}, {a:4,b:5}, {a:5,b:6}, {a:6,b:7}, {a:7,b:4}, {a:0,b:4}, {a:1,b:5}, {a:2,b:6}, {a:3,b:7}],
         [{color:[255,0,0],vertices:[0,1,2,3]},{color:[0,255,0],vertices:[0,4,5,1]},{color:[0,0,255],vertices:[1,5,6,2]},{color:[255,255,0],vertices:[2,6,7,3]},{color:[0,255,255],vertices:[3,7,4,0]},{color:[255,0,255],vertices:[7,6,5,4]}]
      );


Icosahedron:

      var obj = new K3D.K3DObject();
      var t = (1+Math.sqrt(5))/2;
      var tau = t/Math.sqrt(1+t*t);
      var one = 1/Math.sqrt(1+t*t);
      obj.ophi = (360 / j) * i;
      obj.otheta = (180 / j) * i;
      with (obj)
      {
         drawmode = "solid";
         shademode = "lightsource";
         addgamma = 0.5; addtheta = -0.75; addphi = 0.4;
         aboutx = 100; abouty = -100; aboutz = -25;
         scale = 20;
         init(
            [{x:tau,y:one,z:0}, {x:-tau,y:one,z:0}, {x:-tau,y:-one,z:0}, {x:tau,y:-one,z:0}, {x:one,y:0,z:tau}, {x:one,y:0,z:-tau}, {x:-one,y:0,z:-tau}, {x:-one,y:0,z:tau}, {x:0,y:tau,z:one}, {x:0,y:-tau,z:one}, {x:0,y:-tau,z:-one}, {x:0,y:tau,z:-one}],
            [],
            [{vertices:[4, 8, 7]}, {vertices:[4, 7, 9]}, {vertices:[5, 6, 11]}, {vertices:[5, 10, 6]}, {vertices:[0, 4, 3]}, {vertices:[0, 3, 5]}, {vertices:[2, 7, 1]}, {vertices:[2, 1, 6]}, {vertices:[8, 0, 11]}, {vertices:[8, 11, 1]}, {vertices:[9, 10, 3]}, {vertices:[9, 2, 10]}, {vertices:[8, 4, 0]}, {vertices:[11, 0, 5]}, {vertices:[4, 9, 3]}, {vertices:[5, 3, 10]}, {vertices:[7, 8, 1]}, {vertices:[6, 1, 11]}, {vertices:[7, 2, 9]}, {vertices:[6, 10, 2]}]
         );
      }
      k3dmain1.addK3DObject(obj);


   // distribute points on the surface of a sphere in a spiral
   var N = 512;
   var pts = [], edges = [];
   var s = 3.6/Math.sqrt(N);
   var len = 0;
   var dz = 2.0/N;
   var z = 1 - dz/2;
   for (var k=0; k<N; k++)
   {
      var r = Math.sqrt(1 - z*z);
      pts.push({x: Math.cos(len)*r*100, y: Math.sin(len)*r*100, z: z*100});
      if (k !== 0)
      {
         edges.push({a: k-1, b: k});
      }
      z = z - dz;
      len = len + s/r;
   }


   // tesselated sphere (tris)
      init(
         [{x:0.0000,y:0.0000,z:1.0000}, {x:0.0000,y:0.3827,z:0.9239}, {x:-0.1464,y:0.3536,z:0.9239},
          {x:-0.2706,y:0.2706,z:0.9239}, {x:-0.3536,y:0.1464,z:0.9239}, {x:-0.3827,y:0.0000,z:0.9239},
          {x:-0.3536,y:-0.1464,z:0.9239}, {x:-0.2706,y:-0.2706,z:0.9239}, {x:-0.1464,y:-0.3536,z:0.9239},
          {x:0.0000,y:-0.3827,z:0.9239}, {x:0.1464,y:-0.3536,z:0.9239}, {x:0.2706,y:-0.2706,z:0.9239},
          {x:0.3536,y:-0.1464,z:0.9239}, {x:0.3827,y:0.0000,z:0.9239}, {x:0.3536,y:0.1464,z:0.9239},
          {x:0.2706,y:0.2706,z:0.9239}, {x:0.1464,y:0.3536,z:0.9239}, {x:0.0000,y:0.7071,z:0.7071},
          {x:-0.2706,y:0.6533,z:0.7071}, {x:-0.5000,y:0.5000,z:0.7071}, {x:-0.6533,y:0.2706,z:0.7071},
          {x:-0.7071,y:0.0000,z:0.7071}, {x:-0.6533,y:-0.2706,z:0.7071}, {x:-0.5000,y:-0.5000,z:0.7071},
          {x:-0.2706,y:-0.6533,z:0.7071}, {x:0.0000,y:-0.7071,z:0.7071}, {x:0.2706,y:-0.6533,z:0.7071},
          {x:0.5000,y:-0.5000,z:0.7071}, {x:0.6533,y:-0.2706,z:0.7071}, {x:0.7071,y:0.0000,z:0.7071},
          {x:0.6533,y:0.2706,z:0.7071}, {x:0.5000,y:0.5000,z:0.7071}, {x:0.2706,y:0.6533,z:0.7071},
          {x:0.0000,y:0.9239,z:0.3827}, {x:-0.3536,y:0.8536,z:0.3827}, {x:-0.6533,y:0.6533,z:0.3827},
          {x:-0.8536,y:0.3536,z:0.3827}, {x:-0.9239,y:0.0000,z:0.3827}, {x:-0.8536,y:-0.3536,z:0.3827},
          {x:-0.6533,y:-0.6533,z:0.3827}, {x:-0.3536,y:-0.8536,z:0.3827}, {x:0.0000,y:-0.9239,z:0.3827},
          {x:0.3536,y:-0.8536,z:0.3827}, {x:0.6533,y:-0.6533,z:0.3827}, {x:0.8536,y:-0.3536,z:0.3827},
          {x:0.9239,y:0.0000,z:0.3827}, {x:0.8536,y:0.3536,z:0.3827}, {x:0.6533,y:0.6533,z:0.3827},
          {x:0.3536,y:0.8536,z:0.3827}, {x:0.0000,y:1.0000,z:0.0000}, {x:-0.3827,y:0.9239,z:0.0000},
          {x:-0.7071,y:0.7071,z:0.0000}, {x:-0.9239,y:0.3827,z:0.0000}, {x:-1.0000,y:0.0000,z:0.0000},
          {x:-0.9239,y:-0.3827,z:0.0000}, {x:-0.7071,y:-0.7071,z:0.0000}, {x:-0.3827,y:-0.9239,z:0.0000},
          {x:0.0000,y:-1.0000,z:0.0000}, {x:0.3827,y:-0.9239,z:0.0000}, {x:0.7071,y:-0.7071,z:0.0000},
          {x:0.9239,y:-0.3827,z:0.0000}, {x:1.0000,y:0.0000,z:0.0000}, {x:0.9239,y:0.3827,z:0.0000},
          {x:0.7071,y:0.7071,z:0.0000}, {x:0.3827,y:0.9239,z:0.0000}, {x:0.0000,y:0.9239,z:-0.3827},
          {x:-0.3536,y:0.8536,z:-0.3827}, {x:-0.6533,y:0.6533,z:-0.3827}, {x:-0.8536,y:0.3536,z:-0.3827},
          {x:-0.9239,y:0.0000,z:-0.3827}, {x:-0.8536,y:-0.3536,z:-0.3827}, {x:-0.6533,y:-0.6533,z:-0.3827},
          {x:-0.3536,y:-0.8536,z:-0.3827}, {x:0.0000,y:-0.9239,z:-0.3827}, {x:0.3536,y:-0.8536,z:-0.3827},
          {x:0.6533,y:-0.6533,z:-0.3827}, {x:0.8536,y:-0.3536,z:-0.3827}, {x:0.9239,y:0.0000,z:-0.3827},
          {x:0.8536,y:0.3536,z:-0.3827}, {x:0.6533,y:0.6533,z:-0.3827}, {x:0.3536,y:0.8536,z:-0.3827},
          {x:0.0000,y:0.7071,z:-0.7071}, {x:-0.2706,y:0.6533,z:-0.7071}, {x:-0.5000,y:0.5000,z:-0.7071},
          {x:-0.6533,y:0.2706,z:-0.7071}, {x:-0.7071,y:0.0000,z:-0.7071}, {x:-0.6533,y:-0.2706,z:-0.7071},
          {x:-0.5000,y:-0.5000,z:-0.7071}, {x:-0.2706,y:-0.6533,z:-0.7071}, {x:0.0000,y:-0.7071,z:-0.7071},
          {x:0.2706,y:-0.6533,z:-0.7071}, {x:0.5000,y:-0.5000,z:-0.7071}, {x:0.6533,y:-0.2706,z:-0.7071},
          {x:0.7071,y:0.0000,z:-0.7071}, {x:0.6533,y:0.2706,z:-0.7071}, {x:0.5000,y:0.5000,z:-0.7071},
          {x:0.2706,y:0.6533,z:-0.7071}, {x:0.0000,y:0.3827,z:-0.9239}, {x:-0.1464,y:0.3536,z:-0.9239},
          {x:-0.2706,y:0.2706,z:-0.9239}, {x:-0.3536,y:0.1464,z:-0.9239}, {x:-0.3827,y:0.0000,z:-0.9239},
          {x:-0.3536,y:-0.1464,z:-0.9239}, {x:-0.2706,y:-0.2706,z:-0.9239}, {x:-0.1464,y:-0.3536,z:-0.9239},
          {x:0.0000,y:-0.3827,z:-0.9239}, {x:0.1464,y:-0.3536,z:-0.9239}, {x:0.2706,y:-0.2706,z:-0.9239},
          {x:0.3536,y:-0.1464,z:-0.9239}, {x:0.3827,y:0.0000,z:-0.9239}, {x:0.3536,y:0.1464,z:-0.9239},
          {x:0.2706,y:0.2706,z:-0.9239}, {x:0.1464,y:0.3536,z:-0.9239}, {x:0.0000,y:0.0000,z:-1.0000} ],
         [],
         [{vertices:[0,1,2]}, {vertices:[0,2,3]}, {vertices:[0,3,4]}, {vertices:[0,4,5]}, {vertices:[0,5,6]}, {vertices:[0,6,7]}, {vertices:[0,7,8]}, {vertices:[0,8,9]}, {vertices:[0,9,10]},
          {vertices:[0,10,11]}, {vertices:[0,11,12]}, {vertices:[0,12,13]}, {vertices:[0,13,14]}, {vertices:[0,14,15]}, {vertices:[0,15,16]}, {vertices:[0,16,1]}, {vertices:[1,17,18]}, {vertices:[1,18,2]},
          {vertices:[2,18,19]}, {vertices:[2,19,3]}, {vertices:[3,19,20]}, {vertices:[3,20,4]}, {vertices:[4,20,21]}, {vertices:[4,21,5]}, {vertices:[5,21,22]}, {vertices:[5,22,6]}, {vertices:[6,22,23]},
          {vertices:[6,23,7]}, {vertices:[7,23,24]}, {vertices:[7,24,8]}, {vertices:[8,24,25]}, {vertices:[8,25,9]}, {vertices:[9,25,26]}, {vertices:[9,26,10]}, {vertices:[10,26,27]}, {vertices:[10,27,11]},
          {vertices:[11,27,28]}, {vertices:[11,28,12]}, {vertices:[12,28,29]}, {vertices:[12,29,13]}, {vertices:[13,29,30]}, {vertices:[13,30,14]}, {vertices:[14,30,31]}, {vertices:[14,31,15]}, {vertices:[15,31,32]},
          {vertices:[15,32,16]}, {vertices:[16,32,17]}, {vertices:[16,17,1]}, {vertices:[17,33,34]}, {vertices:[17,34,18]}, {vertices:[18,34,35]}, {vertices:[18,35,19]}, {vertices:[19,35,36]}, {vertices:[19,36,20]},
          {vertices:[20,36,37]}, {vertices:[20,37,21]}, {vertices:[21,37,38]}, {vertices:[21,38,22]}, {vertices:[22,38,39]}, {vertices:[22,39,23]}, {vertices:[23,39,40]}, {vertices:[23,40,24]}, {vertices:[24,40,41]},
          {vertices:[24,41,25]}, {vertices:[25,41,42]}, {vertices:[25,42,26]}, {vertices:[26,42,43]}, {vertices:[26,43,27]}, {vertices:[27,43,44]}, {vertices:[27,44,28]}, {vertices:[28,44,45]}, {vertices:[28,45,29]},
          {vertices:[29,45,46]}, {vertices:[29,46,30]}, {vertices:[30,46,47]}, {vertices:[30,47,31]}, {vertices:[31,47,48]}, {vertices:[31,48,32]}, {vertices:[32,48,33]}, {vertices:[32,33,17]}, {vertices:[33,49,50]},
          {vertices:[33,50,34]}, {vertices:[34,50,51]}, {vertices:[34,51,35]}, {vertices:[35,51,52]}, {vertices:[35,52,36]}, {vertices:[36,52,53]}, {vertices:[36,53,37]}, {vertices:[37,53,54]}, {vertices:[37,54,38]},
          {vertices:[38,54,55]}, {vertices:[38,55,39]}, {vertices:[39,55,56]}, {vertices:[39,56,40]}, {vertices:[40,56,57]}, {vertices:[40,57,41]}, {vertices:[41,57,58]}, {vertices:[41,58,42]}, {vertices:[42,58,59]},
          {vertices:[42,59,43]}, {vertices:[43,59,60]}, {vertices:[43,60,44]}, {vertices:[44,60,61]}, {vertices:[44,61,45]}, {vertices:[45,61,62]}, {vertices:[45,62,46]}, {vertices:[46,62,63]}, {vertices:[46,63,47]},
          {vertices:[47,63,64]}, {vertices:[47,64,48]}, {vertices:[48,64,49]}, {vertices:[48,49,33]}, {vertices:[49,65,66]}, {vertices:[49,66,50]}, {vertices:[50,66,67]}, {vertices:[50,67,51]}, {vertices:[51,67,68]},
          {vertices:[51,68,52]}, {vertices:[52,68,69]}, {vertices:[52,69,53]}, {vertices:[53,69,70]}, {vertices:[53,70,54]}, {vertices:[54,70,71]}, {vertices:[54,71,55]}, {vertices:[55,71,72]}, {vertices:[55,72,56]},
          {vertices:[56,72,73]}, {vertices:[56,73,57]}, {vertices:[57,73,74]}, {vertices:[57,74,58]}, {vertices:[58,74,75]}, {vertices:[58,75,59]}, {vertices:[59,75,76]}, {vertices:[59,76,60]}, {vertices:[60,76,77]},
          {vertices:[60,77,61]}, {vertices:[61,77,78]}, {vertices:[61,78,62]}, {vertices:[62,78,79]}, {vertices:[62,79,63]}, {vertices:[63,79,80]}, {vertices:[63,80,64]}, {vertices:[64,80,65]}, {vertices:[64,65,49]},
          {vertices:[65,81,82]}, {vertices:[65,82,66]}, {vertices:[66,82,83]}, {vertices:[66,83,67]}, {vertices:[67,83,84]}, {vertices:[67,84,68]}, {vertices:[68,84,85]}, {vertices:[68,85,69]}, {vertices:[69,85,86]},
          {vertices:[69,86,70]}, {vertices:[70,86,87]}, {vertices:[70,87,71]}, {vertices:[71,87,88]}, {vertices:[71,88,72]}, {vertices:[72,88,89]}, {vertices:[72,89,73]}, {vertices:[73,89,90]}, {vertices:[73,90,74]},
          {vertices:[74,90,91]}, {vertices:[74,91,75]}, {vertices:[75,91,92]}, {vertices:[75,92,76]}, {vertices:[76,92,93]}, {vertices:[76,93,77]}, {vertices:[77,93,94]}, {vertices:[77,94,78]}, {vertices:[78,94,95]},
          {vertices:[78,95,79]}, {vertices:[79,95,96]}, {vertices:[79,96,80]}, {vertices:[80,96,81]}, {vertices:[80,81,65]}, {vertices:[81,97,98]}, {vertices:[81,98,82]}, {vertices:[82,98,99]}, {vertices:[82,99,83]},
          {vertices:[83,99,100]}, {vertices:[83,100,84]}, {vertices:[84,100,101]}, {vertices:[84,101,85]}, {vertices:[85,101,102]}, {vertices:[85,102,86]}, {vertices:[86,102,103]}, {vertices:[86,103,87]}, {vertices:[87,103,104]},
          {vertices:[87,104,88]}, {vertices:[88,104,105]}, {vertices:[88,105,89]}, {vertices:[89,105,106]}, {vertices:[89,106,90]}, {vertices:[90,106,107]}, {vertices:[90,107,91]}, {vertices:[91,107,108]}, {vertices:[91,108,92]},
          {vertices:[92,108,109]}, {vertices:[92,109,93]}, {vertices:[93,109,110]}, {vertices:[93,110,94]}, {vertices:[94,110,111]}, {vertices:[94,111,95]}, {vertices:[95,111,112]}, {vertices:[95,112,96]}, {vertices:[96,112,97]},
          {vertices:[96,97,81]}, {vertices:[113,98,97]}, {vertices:[113,99,98]}, {vertices:[113,100,99]}, {vertices:[113,101,100]}, {vertices:[113,102,101]}, {vertices:[113,103,102]}, {vertices:[113,104,103]}, {vertices:[113,105,104]},
          {vertices:[113,106,105]}, {vertices:[113,107,106]}, {vertices:[113,108,107]}, {vertices:[113,109,108]}, {vertices:[113,110,109]}, {vertices:[113,111,110]}, {vertices:[113,112,111]}, {vertices:[113,97,112]} ]
         );


   // tesselated sphere (quad strips)
         [{vertices:[0,1,2]}, {vertices:[0,2,3]}, {vertices:[0,3,4]}, {vertices:[0,4,5]}, {vertices:[0,5,6]}, {vertices:[0,6,7]}, {vertices:[0,7,8]}, {vertices:[0,8,9]}, {vertices:[0,9,10]},
          {vertices:[0,10,11]}, {vertices:[0,11,12]}, {vertices:[0,12,13]}, {vertices:[0,13,14]}, {vertices:[0,14,15]}, {vertices:[0,15,16]}, {vertices:[0,16,1]}, {vertices:[1,17,18,2]},
          {vertices:[2,18,19,3]}, {vertices:[3,19,20,4]}, {vertices:[4,20,21,5]}, {vertices:[5,21,22,6]}, {vertices:[6,22,23,7]},
          {vertices:[7,23,24,8]}, {vertices:[8,24,25,9]}, {vertices:[9,25,26,10]}, {vertices:[10,26,27,11]}, 
          {vertices:[11,27,28,12]}, {vertices:[12,28,29,13]}, {vertices:[13,29,30,14]}, {vertices:[14,30,31,15]}, {vertices:[15,31,32,16]},
          {vertices:[16,32,17,1]}, {vertices:[17,33,34,18]}, {vertices:[18,34,35,19]}, {vertices:[19,35,36,20]}, 
          {vertices:[20,36,37,21]}, {vertices:[21,37,38,22]}, {vertices:[22,38,39,23]}, {vertices:[23,39,40,24]}, {vertices:[24,40,41,25]},
          {vertices:[25,41,42,26]}, {vertices:[26,42,43,27]}, {vertices:[27,43,44,28]}, {vertices:[28,44,45,29]}, 
          {vertices:[29,45,46,30]}, {vertices:[30,46,47,31]}, {vertices:[31,47,48,32]}, {vertices:[32,48,33,17]},
          {vertices:[33,49,50,34]}, {vertices:[34,50,51,35]}, {vertices:[35,51,52,36]}, {vertices:[36,52,53,37]}, {vertices:[37,53,54,38]}, 
          {vertices:[38,54,55,39]}, {vertices:[39,55,56,40]}, {vertices:[40,56,57,41]}, {vertices:[41,57,58,42]}, {vertices:[42,58,59,43]},
          {vertices:[43,59,60,44]}, {vertices:[44,60,61,45]}, {vertices:[45,61,62,46]}, {vertices:[46,62,63,47]}, 
          {vertices:[47,63,64,48]}, {vertices:[48,64,49,33]},
          {vertices:[49,65,66,50]}, {vertices:[50,66,67,51]}, {vertices:[51,67,68,52]},
          {vertices:[52,68,69,53]}, {vertices:[53,69,70,54]}, {vertices:[54,70,71,55]}, {vertices:[55,71,72,56]}, 
          {vertices:[56,72,73,57]}, {vertices:[57,73,74,58]}, {vertices:[58,74,75,59]}, {vertices:[59,75,76,60]}, {vertices:[60,76,77,61]},
          {vertices:[61,77,78,62]}, {vertices:[62,78,79,63]}, {vertices:[63,79,80,64]}, {vertices:[64,80,65,49]}, 
          {vertices:[65,81,82,66]}, {vertices:[66,82,83,67]}, {vertices:[67,83,84,68]}, {vertices:[68,84,85,69]}, {vertices:[69,85,86,70]},
          {vertices:[70,86,87,71]}, {vertices:[71,87,88,72]}, {vertices:[72,88,89,73]}, {vertices:[73,89,90,74]}, 
          {vertices:[74,90,91,75]}, {vertices:[75,91,92,76]}, {vertices:[76,92,93,77]}, {vertices:[77,93,94,78]}, {vertices:[78,94,95,79]},
          {vertices:[79,95,96,80]}, {vertices:[80,96,81,65]}, {vertices:[81,97,98,82]}, {vertices:[82,98,99,83]}, 
          {vertices:[83,99,100,84]}, {vertices:[84,100,101,85]}, {vertices:[85,101,102,86]}, {vertices:[86,102,103,87]}, {vertices:[87,103,104,88]},
          {vertices:[88,104,105,89]}, {vertices:[89,105,106,90]}, {vertices:[90,106,107,91]}, {vertices:[91,107,108,92]}, 
          {vertices:[92,108,109,93]}, {vertices:[93,109,110,94]}, {vertices:[94,110,111,95]}, {vertices:[95,111,112,96]}, {vertices:[96,112,97,81]},
          {vertices:[113,98,97]}, {vertices:[113,99,98]}, {vertices:[113,100,99]}, {vertices:[113,101,100]}, {vertices:[113,102,101]}, {vertices:[113,103,102]}, {vertices:[113,104,103]}, {vertices:[113,105,104]},
          {vertices:[113,106,105]}, {vertices:[113,107,106]}, {vertices:[113,108,107]}, {vertices:[113,109,108]}, {vertices:[113,110,109]}, {vertices:[113,111,110]}, {vertices:[113,112,111]}, {vertices:[113,97,112]} ]