Can you take the faces of a polyhedron, along with the faces of its dual, and "rearrange" them into a new polyhedron? I noticed that you can with the Platonic Solids (you get the icosidodecahedron and cuboctahedron this way) but I was wondering if this applies to any (or all) other polyhedra. Possib...

I recently made a model of this polyhedron with 6 colors in the way you described, oxenholme. It turned out fairly well with 65 lb (about 245 gsm) card. Mine had an edge length of about 4.318 cm (the length of the short diagonal of the slim rhombus was 1 inch). It is, as Rob said, a very delicate mo...

The most complex model I've ever made is the Great Icosidodecahedron. Not much of a match for Miller's Monsters and siris, but I'll get there someday.

Very interesting polyhedron! Since it is a faceting of the snub cube it has a sort of twisted look. It looks almost "compoundish', but it isn't a compound...
This is what I love about Stella!

Paper: 65 pound acid free card stock (sorry, I'm not used to the metric system!) Glue: Aleene's Tacky Glue. It dries faster than ordinary Elmers glue. Tools: X-acto knife Sheet of old balsa wood that I cut slices out of for glue spreading Large needle hot-glued onto an old pencil (for hole poking) P...

I got into polyhedra last fall via a Wikipedia search for "dodecahedron". I was amazed that I hadn't ever heard of any of these things before, and so that night I built one out of poster board. After that I was hooked. I've made around 30 models and incurred $6.20 of library fines for Wenninger's "P...