Thanks Ulrich for your suggestion, I actually did find his website last night and there are numerous interesting things there, but I didn't see this example. Really I need to get a copy of Stewart's book, like Alex said on his website it's really most useful as a supplement with the book. I actually...

I found a new interesting equal-edged torus today by excavating two J92's out of an icosidodecahedron
Has anyone ever made this before?
I never read Stewart's toroid book, maybe it's in there?

There's an open-source program to model with zometool called vzome: http://vzome.com/home/ but it's not nearly as powerful as Stella and has very limited features.

It's not really same length, because zometool has various lengths for each color (sized based on golden ratio). Direction isn't really the right mathematical term, it's just what the zometool people use. It's referring to all the lines that can be made from any given point that can be superimposed w...

Thanks for your response. While the parallel option is useful, it's not exactly what I was asking about. I guess vector wasn't the right word, I meant all the edges that share the same direction in the symmetry system, like a zometool direction. So all edges of same type would be included plus any o...

I really love Stella and Zometool, so it would be even better together! Would there be a way to make a zometool style for the edges (like the existing geomag)? Along the same lines (pun intended!), could there be an option to color edges based on vector, not just same type? Thanks for making such a ...

You can make that type of stuff with SketchUp which is a free program and has a very easy to use interface.

http://www.sketchup.com

Yes on the right side above the pane there is a colored drop down menu that sets the symmetry, it's a list of possible symmetries for that polyhedron. I'm not sure I understand all of them but c1 means no symmetry.

I am somewhat new to Stella but I hope I can help. Facetting works in 2 ways, having the program choose facets or creating them yourself. If you want to create your own facets by selecting vertices you would then Shift-right-click to accept that facet, not use the up arrow (that's for program choosi...

Thanks for your idea, that is an easy way to see possibilities, but you have to watch out because some are combinations of face types. I found 4 distinct polyhedra with D3 symmetry from the icosahedron, one 12 faced, two 6 faced reflexible (using the faces around the poles for one and alternating fa...

Hi Robert, thanks for your reply. I was referring to partial stellations of different sub-symmetries that use only some of the face planes of the stellation core. For example using 12 planes of the icosahedron you can make the pyritohedron and with 8 you can make the octahedron, etc. Here's a pictur...

I'm interested in finding all the convex isohedral stellations of various polyhedra. I found (including stellation core):
Dodecahedron: 4
Icosahedron: 10
Rhombic Dodecahedron: 3
Rhombic Triacontahedron: 12

I'm wondering if anyone ever researched this before.