It looks great, Ulrich! I was hoping that you'd make some of these. I like that you made separate pieces for the higher-density regions of the faces. It's a shame that you are stopped by the large number of central facelets that the I52 and I32 polyhedra require. Perhaps 3-D printing is the only way...

Thanks, Ulrich! Please send my regards to Don Romano. Attached is a zip archive of the OFF files for Leonardo-style models of the 11 vertex-intransitive face-intransitive isotoxals. It is more complicated to generate such models for the vertex-transitive ones, but those are much easier to understand...

One can find a lot of things written about face- and vertex-transitive polyhedra, especially regular-faced ones. There is not much on edge-transitive (isotoxal) ones, and all of it is incomplete. Frequently one encounters the assertion that any edge-transitive polyhedron must also be face- or vertex...

Yes, I've been clicking through and it started to get old. I would modify the models to avoid the message but I can't figure out what's triggering it. I've checked carefully and each edge that exists appears exactly twice in the definitions of the faces. Thanks for ruling out one possibility.

Does Great Stella coalesce vertices and edges that coincide? I have some OFF models for which it says there are more than two faces meeting at some edges. That's not true in these models' abstract structure.