Search found 71 matches

by Dinogeorge
Tue Jan 22, 2008 7:12 am
Forum: Stella Forum
Topic: More 4D compounds now available
Replies: 51
Views: 98805

Re: Scaliforms

The polychora do have coincident edges, so maybe that's the problem :?: Maybe, although I thought there were other ones like that which worked (been a while since I looked at this stuff). Send me the .stel files anyway and I'll have a look. Rob. OK, .stel files are on their way. Maybe coincident ed...
by Dinogeorge
Tue Jan 22, 2008 4:46 am
Forum: Stella Forum
Topic: More 4D compounds now available
Replies: 51
Views: 98805

Scaliforms

No, Stella4D inclused all known uniform polychora, but not all the scaliforms, so please send them through if you make any :wink: Well, I have the two vertex figures, but my copy of Stella4D falls short of constructing the corresponding polychora. :cry: The polychora do have coincident edges, so ma...
by Dinogeorge
Mon Jan 21, 2008 11:24 pm
Forum: Stella Forum
Topic: More 4D compounds now available
Replies: 51
Views: 98805

Scaliforms

AH I remember these scaliforms, I call these sistakix and gastakix (short for small and great snub 3600choron), found these in Oct 2005 - sorry not new :wink: but no sections have been seen yet - hope that Stella can one day take them on. These two are not yet in the Stella4D library as far as I ca...
by Dinogeorge
Mon Jan 21, 2008 7:48 am
Forum: Polyhedra
Topic: What was your introduction to polyhedra?
Replies: 21
Views: 60836

Re: Six pentagrammatic prisms

Dinogeorge wrote:Here's the compound of six with dodecahedral symmetry.
And I couldn't resist making the compound of twelve by merging the six with its mirror image. :o Same set of 60 corners, now two prisms per each:

Image
by Dinogeorge
Mon Jan 21, 2008 7:18 am
Forum: Polyhedra
Topic: What was your introduction to polyhedra?
Replies: 21
Views: 60836

Six pentagrammatic prisms

While I was looking for my drawings I came across one of a compound of Five Pentagramic Prisms with dodecahedral symmetry. One of these days I will get around to making one... Are you sure you don't mean six pentagrammatic prisms? Five of those prisms have only 50 corners, a number that doesn't eve...
by Dinogeorge
Mon Jan 21, 2008 5:58 am
Forum: Stella Forum
Topic: More 4D compounds now available
Replies: 51
Views: 98805

"New" scaliforms

AH I remember these scaliforms, I call these sistakix and gastakix (short for small and great snub 3600choron), found these in Oct 2005 - sorry not new :wink: but no sections have been seen yet - hope that Stella can one day take them on. Boy, no matter where you walk in four-space, you run across ...
by Dinogeorge
Mon Jan 21, 2008 4:05 am
Forum: Stella Feature Requests
Topic: Polytope compound generation
Replies: 6
Views: 19923

Interesting idea, but how often would it be useful? I'm thinking of 3D. This would be no help to make the compound of 5 cubes, for example. After the first vertex is aligned, no others would be shared by the first two cubes in the arrangement. Maybe it happens more often in 4D? Everything happens m...
by Dinogeorge
Mon Jan 21, 2008 1:37 am
Forum: Polyhedra
Topic: What was your introduction to polyhedra?
Replies: 21
Views: 60836

Re: What was your introduction to polyhedra?

The snub polyhedra had me defeated, but I was lucky enough to get in touch with George Olshevsky from Toronto University. It wasn't too long before I'd finished the Small (!!!) Inverted Retrosnub Icosicosidodecahedron. Yike! A blast from the past! Did you use my computer-generated nets for the yog-...
by Dinogeorge
Sun Jan 20, 2008 10:08 pm
Forum: Stella Forum
Topic: More 4D compounds now available
Replies: 51
Views: 98805

Siamese prismosauri

Once I got through making as many compounds of the regular star-polychora as I could with the latest version of Stella4D, I began to try making similar kinds of compounds of other uniform polychora. For example, there are compounds of five and ten small and great swirlprisms, but I can’t yet tell wh...
by Dinogeorge
Sun Jan 20, 2008 5:26 am
Forum: Stella Forum
Topic: How do I modify a solid?
Replies: 6
Views: 30477

How do I modify a solid?

It occurred to me that you can do it faster by selecting the symmetry as "5-fold pyramidal." This gives you most of the stellachunks you want to add to the truncated icosahedron in two groups of five at a time. The stellation diagram is correspondingly smaller, too. I assume you want the single stum...
by Dinogeorge
Sun Jan 20, 2008 4:41 am
Forum: Stella Forum
Topic: How do I modify a solid?
Replies: 6
Views: 30477

How do I modify a solid?

In this case, first call up a truncated icosahedron. Then set its symmetry to "No symmetry." Then stellate it using the stellation diagram (which is very wide because there's no symmetry and the stellachunks are handled one at a time). Twelve of the rectangles in the second row of the diagram corres...
by Dinogeorge
Sat Jan 19, 2008 7:03 pm
Forum: Stella Forum
Topic: More 4D compounds now available
Replies: 51
Views: 98805

Ten grand hexacosichora

The cells of the grand hexacosichoron (600-cell) are 600 tetrahedra, and its vertex figure is a great icosahedron. In terms of the number of cellets in its surcell (and I have not counted them!), the grand hexacosichoron is the most complicated of the ten regular star-polychora. (This situation is m...
by Dinogeorge
Sat Jan 19, 2008 7:43 am
Forum: Stella Feature Requests
Topic: Polytope compound generation
Replies: 6
Views: 19923

One thing that might not be too difficult to implement would be an option for the "ADD/BLEND from Memory" feature: Allow the user to select a vertex in the target polytope (3D or 4D) and in the memorized polytope, and when the ADD operation is done, the memorized polytope is placed so that its selec...
by Dinogeorge
Fri Jan 18, 2008 6:35 pm
Forum: Stella Forum
Topic: More 4D compounds now available
Replies: 51
Views: 98805

Five great grand stellated hecatonicosachora

Here is a 3D slice through this compound. The great grand stellated hecatonicosachoron has the narrowest possible "points" of any uniform polychoron, and this chiral compound features 3000 (=5x600) of them: 2400 as single points and 600 others gathered by fives into 120 more (2520 distinct corners a...
by Dinogeorge
Fri Jan 18, 2008 6:55 am
Forum: Stella Forum
Topic: More 4D compounds now available
Replies: 51
Views: 98805

Compounds of regular star-polychora

Well, assuming I've counted them correctly, I've managed to make Stella4D versions of all but two of the twelve compounds of ten regular pentagonal polychora (from which chiral compounds of five follow). The two that my version of Stella4D cannot yet reach are the compounds of ten {5,3,5/2} (grand 1...