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
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