Search found 49 matches

by Jabe
Wed Nov 18, 2020 1:10 pm
Forum: Polyhedra
Topic: New Uniform Polychora
Replies: 15
Views: 3202

Re: New Uniform Polychora

1852 - Setut
1853 - Getut
1854 - Pecuexidfap
1855 - Pecuexdap
by Jabe
Wed Nov 18, 2020 9:08 am
Forum: Polyhedra
Topic: New Uniform Polychora
Replies: 15
Views: 3202

Re: New Uniform Polychora

Here are stella files generated by _Geometer of various finds in the pecuexdap regiment, thought you might like these. There's even one with a convex verf.
by Jabe
Wed Nov 18, 2020 9:03 am
Forum: Polyhedra
Topic: New Uniform Polychora
Replies: 15
Views: 3202

Re: New Uniform Polychora

Here is a zip file containing the 6 new uniforms and several scaliforms and compounds. It also contains the some of the pseudouniforms generated by blending an odho verf with a sishi member. I was able to tell the odho blends weren't truly uniform by viewing cross sections vertex-on from different v...
by Jabe
Mon Nov 03, 2014 8:53 am
Forum: Stella Feature Requests
Topic: Move Part of Compound Feature
Replies: 0
Views: 11361

Move Part of Compound Feature

One feature that would be quite useful would be the ability to rotate and move a part of a compound. This could be used to produce interesting arrangements. Lets say you augmented several polyhedra together, keeping the coincident faces to turn it into a compound, then with this feature you could mo...
by Jabe
Thu Oct 15, 2009 12:47 pm
Forum: Stella Forum
Topic: pentachoron and icositetrachoron
Replies: 2
Views: 11061

Sounds like you're looking at the vertex figure. Select the "View Base Polyhedron" button (looks like a cuboctahedron) to get a 4D view.
by Jabe
Fri Feb 13, 2009 10:44 pm
Forum: Stella Feature Requests
Topic: Faceting for Polychora
Replies: 1
Views: 12266

Faceting for Polychora

One feature I would like to see is the ability to facet a polychoron - One project I would like to do is generate the vertex figures of the polytera and this feature would make it go a whole lot faster than writing OFF files for each one. Any chance that this could be added, one way to impliment it ...
by Jabe
Sat Feb 07, 2009 7:10 am
Forum: Stella Forum
Topic: 11-cell
Replies: 18
Views: 55070

The ones of step 2 have a similar appearance all the way through - at infinity it approaches a curved 4-D shape that I call the "bicoiloid" - the bicoiloid is the dual of the convex hull of a curved "2-coil" (think of a part of a slinky, but with only two coils (720 degrees all together) then curve ...
by Jabe
Fri Feb 06, 2009 4:43 am
Forum: Stella Forum
Topic: 11-cell
Replies: 18
Views: 55070

Below is the OFF file that I started with - it generates a polychoron with 8 congruent corners - (the same corners as the 8 - 2 step prism), I used a drawing of an octagon to find sets of tetrahedra (complete tetragons in the octagon) that would fully connect and close - this is how I developped the...
by Jabe
Wed Feb 04, 2009 11:35 pm
Forum: Stella Forum
Topic: Powertopes
Replies: 0
Views: 19350

Powertopes

If we take the square of a polygon, we get a duoprism of that polygon - and this is the beginning of powertopes. Powertopes are the result of taking a polytope and taking it to some "power" where the power is usually a shape having "block" symmetries (i.e. rectangle, square, cuboid, cube, tesseract,...
by Jabe
Wed Feb 04, 2009 10:31 pm
Forum: Stella Forum
Topic: 11-cell
Replies: 18
Views: 55070

polymorphic wrote: I'm convinced you may be the only person in the world who has seen it.
Time for that to change :wink:

Here's the net of the Mobius Octachoron

Image

Here's the shadow

Image
by Jabe
Mon Feb 02, 2009 7:31 pm
Forum: Stella Forum
Topic: 11-cell
Replies: 18
Views: 55070

The 8 - 3 is the tesseract (also square duoprism)
the 8 - 2 looks totally different.
by Jabe
Mon Feb 02, 2009 8:46 am
Forum: Stella Forum
Topic: 11-cell
Replies: 18
Views: 55070

And the number of configurations increases as N grows larger I would presume. Is there a formula for that? Roger A step tegum requires two numbers - N and M - where N is the number of cells, and M represents the "step". I'll use a 13 sided one for an example. Consider the 13-gon, we can label its v...
by Jabe
Sat Jan 31, 2009 9:55 pm
Forum: Stella Forum
Topic: 11-cell
Replies: 18
Views: 55070

Perhaps those would be nice additions to the Stella library. Are the 7 though 13 (odd) cells unique or are there N-cells at various integer values? 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 tesser...
by Jabe
Sat Jan 31, 2009 6:51 am
Forum: Stella Forum
Topic: 11-cell
Replies: 18
Views: 55070

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 distinct...
by Jabe
Wed Jan 14, 2009 11:03 pm
Forum: Stella Forum
Topic: Thirteen Sided Dice
Replies: 0
Views: 18247

Thirteen Sided Dice

Recently I rendered the three possible cell-transitive tridecachora using Off files and Stella4D. I started by using the thirteen vertices of their duals, then using a tridecagon to find a set of triangles and complete tetragons (representing tetrahedra) that would form a closed figure - imported th...