1852 - Setut
1853 - Getut
1854 - Pecuexidfap
1855 - Pecuexdap

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.

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 ...

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 ...

Sounds like you're looking at the vertex figure. Select the "View Base Polyhedron" button (looks like a cuboctahedron) to get a 4D view.

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 ...

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 ...

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 ...

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 ...

polymorphic wrote: I'm convinced you may be the only person in the world who has seen it.

Time for that to change

Here's the net of the Mobius Octachoron



Here's the shadow

The 8 - 3 is the tesseract (also square duoprism)
the 8 - 2 looks totally different.

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 ...

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 ...

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 ...

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 ...