Search found 7 matches
- Sat May 18, 2024 11:41 pm
- Forum: Polyhedra
- Topic: Edge-Transitive Polyhedra
- Replies: 8
- Views: 20870
Re: Edge-Transitive Polyhedra
The original zip archives have been quite popular, but the files in the new one are so much of an improvement that I have deleted the old ones. So they no longer show as attachments above, which may make the earlier posts a bit confusing. I would love to copy and rename the new one and have it repla...
- Sat May 18, 2024 11:13 pm
- Forum: Polyhedra
- Topic: Edge-Transitive Polyhedra
- Replies: 8
- Views: 20870
Re: Edge-Transitive Polyhedra
Recently I got a chance to revisit the OFF files that I posted here a while ago, in particular the Leonardo-style ones. I tried to address the issues that Great Stella had with them. One of these had to do with having more than two faces at an edge. I normally would agree that this is not valid, but...
- Fri Sep 30, 2022 5:51 am
- Forum: Polyhedra
- Topic: Edge-Transitive Polyhedra
- Replies: 8
- Views: 20870
Re: Edge-Transitive Polyhedra
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...
- Sun Sep 04, 2022 2:07 am
- Forum: Polyhedra
- Topic: Edge-Transitive Polyhedra
- Replies: 8
- Views: 20870
Re: Edge-Transitive Polyhedra
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...
- Sun Aug 28, 2022 2:20 am
- Forum: Polyhedra
- Topic: Edge-Transitive Polyhedra
- Replies: 8
- Views: 20870
Edge-Transitive Polyhedra
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...
- Mon Aug 22, 2022 11:07 am
- Forum: Stella Forum
- Topic: Coincident edges
- Replies: 2
- Views: 13977
Re: Coincident edges
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.
- Mon Aug 22, 2022 8:59 am
- Forum: Stella Forum
- Topic: Coincident edges
- Replies: 2
- Views: 13977
Coincident edges
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.