polytopologistRick,
Your shapes are also very nice. You have so many! This is indeed a very fun (and addictive) pastime. It's a fun challenge to try to imagine what is actually possible to fabricate. I've ordered a few stainless steel models, but only about half of them so far have been realizable. Bronze is mighty tempting. Metals in general are very satisfactory.
No, I don't use Mathematica. I have used FreeCad and Maple, although recently I have been using Python to build things in a more elementary manner. (BTW, the coordinates for the vertices of Miller's Monster are on wikipedia, although they are not too hard to determine from scratch.)
-David
rickruss2013 This is great, David, I'm glad Andy Blofield put me in touch with you, and for discovering this model. Are you using Mathematica also? I made a 20 cube compound by creating the same icosahedral symmetry with a dual of the octahedron. (www.shapeways.com/product/N5WBMQ2NU/20-cube-compound) This stuff is such fun, eh? Love your work!