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  Topic: Equilateral convex polyhedra (new class after 400 years?)
polymorphic

Replies: 27
Views: 55173

PostForum: Stella Forum   Posted: Sun Nov 09, 2014 3:31 pm   Subject: Equilateral convex polyhedra (new class after 400 years?)

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 Con ...
  Topic: Equilateral convex polyhedra (new class after 400 years?)
polymorphic

Replies: 27
Views: 55173

PostForum: Stella Forum   Posted: Sun Nov 09, 2014 4:45 am   Subject: Equilateral convex polyhedra (new class after 400 years?)
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 ...
  Topic: Equilateral convex polyhedra (new class after 400 years?)
polymorphic

Replies: 27
Views: 55173

PostForum: Stella Forum   Posted: Fri Nov 07, 2014 1:37 pm   Subject: Equilateral convex polyhedra (new class after 400 years?)
There are many that can't work. For example if you augment a cube with cubes it will be non-convex and is already equilateral.

That models seems familiar. How did you create it?
  Topic: Equilateral convex polyhedra (new class after 400 years?)
polymorphic

Replies: 27
Views: 55173

PostForum: Stella Forum   Posted: Thu Nov 06, 2014 11:41 pm   Subject: Equilateral convex polyhedra (new class after 400 years?)
I haven't been able to make one with the rhombic enneacontahedron truncated on the 5-valance vertices. It works on the 3 and 6 valance vertices, but on the 5 it collapses into non-convex.

Roger
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Sun Feb 08, 2009 12:50 pm   Subject: 11-cell
For the step 2's there seems to be a kind of order. Such that it might be possible to find the pattern to make the cells. Then there could be a way to generate the Nth model.

For the other steps it ...
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Fri Feb 06, 2009 3:24 pm   Subject: 11-cell
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 we ...
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Thu Feb 05, 2009 2:31 pm   Subject: 11-cell
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 ...
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Tue Feb 03, 2009 5:04 pm   Subject: 11-cell
the 8 - 2 looks totally different.

Not trying to be a lamer here, and I really tried to see if this was out there some where. In any search I would ultimately land on your 4D dice page!

I'm conv ...
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Mon Feb 02, 2009 1:01 pm   Subject: 11-cell
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 goog ...
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Sat Jan 31, 2009 10:06 pm   Subject: 11-cell
These exist for all N greater than 4, for N=5 we get the pentachoron.
For N=6 we get the triangle duoprism, for N=8 there are two and one is the tesseract.

And the number of configurations increas ...
  Topic: Some JS allow "U" keypress
polymorphic

Replies: 1
Views: 6111

PostForum: Stella Forum   Posted: Sat Jan 31, 2009 6:23 pm   Subject: 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, ...
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Sat Jan 31, 2009 5:57 pm   Subject: 11-cell
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 ...
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Fri Jan 30, 2009 4:19 pm   Subject: 11-cell
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 br ...
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Fri Jan 30, 2009 1:45 pm   Subject: 11-cell
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 tha ...
  Topic: 11-cell
polymorphic

Replies: 18
Views: 35917

PostForum: Stella Forum   Posted: Thu Jan 29, 2009 2:16 pm   Subject: 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 do ...
 
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