Search found 26 matches
- Sun Nov 09, 2014 3:31 pm
- Forum: Stella Forum
- Topic: Equilateral convex polyhedra (new class after 400 years?)
- Replies: 27
- Views: 109090
Conway Notation specification does not specify that beveling can only be done by vertex valances. I think this may have been an oversight! Beveling is actually truncation by 1/2. Therefore since Conway Notation allows for truncation by vertex valance, so should it be with Beveling. I am going to pr...
- Sun Nov 09, 2014 4:45 am
- Forum: Stella Forum
- Topic: Equilateral convex polyhedra (new class after 400 years?)
- Replies: 27
- Views: 109090
But I'm sure there's a more straight forward way. Actually, it's a rectified truncated octahedron I suppose. It can be found by truncating the on 3-valance vertices of the truncated octahedron by a factor of 1/2. It can also be found by beveling only on the 3-valance vertices in conway notation whi...
- Fri Nov 07, 2014 1:37 pm
- Forum: Stella Forum
- Topic: Equilateral convex polyhedra (new class after 400 years?)
- Replies: 27
- Views: 109090
- Thu Nov 06, 2014 11:41 pm
- Forum: Stella Forum
- Topic: Equilateral convex polyhedra (new class after 400 years?)
- Replies: 27
- Views: 109090
- Sun Feb 08, 2009 12:50 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
- Fri Feb 06, 2009 3:24 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
Very intersting. I made one observation. Of all of the step tegums you have sent (thanks!) I noticed that for each N, at least one of them has a similar cell type. For an N-choron is taking a wedge of an 3D (N-2).4.4 prism. e.g. for the Heptachoron the cell is the wedge of a 5.4.4 prism. The Octacho...
- Thu Feb 05, 2009 2:31 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
How do you do this?! It looks like there is no other way to make these than by hand. It is amazing to me that such an oddball looking outer cell can contain copies of itself inside. Do you have the stel file for this? I had thought I might try to construct what you had just by looking but I'd have t...
- Tue Feb 03, 2009 5:04 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
- Mon Feb 02, 2009 1:01 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
Since it is systematic I wonder if these could be generated. If the connectivity could be systemized it could. You mentioned that there are two 8-cells. Try to look something like that up on google! If there exists information on an 8-cell it is inevitably the tesseract. Looking at what you've writt...
- Sat Jan 31, 2009 10:06 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
- Sat Jan 31, 2009 6:23 pm
- Forum: Stella Forum
- Topic: Some JS allow "U" keypress
- Replies: 1
- Views: 12638
Some JS allow "U" keypress
I don't see this as a problem but some of the Johnson solids allow "Create Unform Polychoron from 3D vertex figure". Not a lot of them but a few. They result in something that is not closed, but creates some very interesting results anyway. J1 - no complaints but says it has 8 cells but I only see 7...
- Sat Jan 31, 2009 5:57 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
I'm aware of two potential hendecachora with identical cells that could be modeled in 4D, however they aren't the one with the hemi-icosahedra - that one requires some strange curved 4-space. I have yet to model the two 11-celled polychora, but I have done the 7-cell, two 9-cells, and three distinc...
- Fri Jan 30, 2009 4:19 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
I don't really understand the shape you're after. Carlos' paper is on line. It shows ways of trying to display the 11-cell but using purely 3D constructs. i.e usings 11 vertices and so on. I was bring such models into Stella but I had to double the number of faces (replicated on top of one another)...
- Fri Jan 30, 2009 1:45 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
Maybe the fact that those coplanar faces also pass through the centre of the model makes things worse. Rob. Carlo's models always were tweaked so that the intersection didn't happen. I can try that. I remember some of profesional geometers saying that the 11-cell and 57-cell can't be represented in...
- Thu Jan 29, 2009 2:16 pm
- Forum: Stella Forum
- Topic: 11-cell
- Replies: 18
- Views: 81524
11-cell
Hi, The 11-cell or hendecachoron is 11 hemi-icosahedra. I have a hemi-icosahedra (OFF file below). I was wondering if the 11-cell might be attainable (in Stella4D, pressing "u") but it doesn't appear to be. It stops at 10 cells and can't display anything. Is this because the hemi-icosahedra is non-o...