New Uniform Polychora

[Mecejide]

Recently, two new uniform polychora were discovered by someone on the Higher Space Forum named “_Geometer”. They both have 360 tetrahedra, 240 tetrahemihexahedra, and 120 triangular prisms of type 1, and 360 triangular prisms of type 2. They differ only in the orientation of the thahs, just like sadixhix and gadixhix. Their acronyms are sidditsphit and gidditsphit. They have the same symmetry as sispatit and gispatit.

[robertw]

Wow, they found new ones?!

I found the discussion you referred to: http://hi.gher.space/forum/viewtopic.php?f=25&t=2486

I'll have to look into it more later.

Can someone send me the vertex figure as a .stel file, and I'll see if I can get it to work.

Thanks.

[Mecejide]

How do I send them to you?

[robertw]

I received them, so looks like you found a way, or possibly someone else did?

I'm pleased to see they worked straight away, with Stella4D able to generate the polychoron from just the vertex figure.

Interesting that the vertex figures are facetings of the dodecahedron, and surprising that no one had found them before. I wonder how many others remain to be discovered.

I'll be sure to include them in the next release.

Do they have full names? Did Jonathan Bowers give them the sidditsphit and gidditsphit acronyms? And which one's 1850 and which one's 1851? (I'm guessing s is 1850 and g is 1851?). And do we know who _Geometer is so they can be credited for their discovery?

[Mecejide]

_Geometer named them, and Bowers decided to keep the names. I’m not sure on the order, and g- might be #1850 because it was discovered first.

I have no idea who _Geometer is.

Since then, Bowers discovered two more uniforms. One was the blend of two sidditsphits (setut), and the other was the blend of two gidditsphits (getut). I’ll try to send you their .stel files, too.

[robertw]

I would expect the small one to be first in order before the great one, but up to Bowers.

I tried blending the mirror images of the sidditsphit vertex figure together, but that didn't work, so maybe the two sidditsphits are blended another way.

Here's what the 3D cross-sections look like taken halfway through the polychora.

For sidditsphit:


For gidditsphit:

[_Geometer]

I am _Geometer

[ndl]

Can someone post the .stel files on this forum? Just put them in .zip and they will post just fine. Thanks

[Mecejide]

Update: 2 more uniforms (pecuexidfap and pecuexdap) were recently found. The attached file contains their verfs plus several scaliforms’ verfs.

[ndl]

Update: 2 more uniforms (pecuexidfap and pecuexdap) were recently found. The attached file contains their verfs plus several scaliforms’ verfs.

Can you post 1850-1853 also? Thanks

[Jabe]

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 vertices which sometimes lead to different results at different vertices.

[Jabe]

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.

[robertw]

Here is a zip file containing the 6 new uniforms and several scaliforms and compounds.

Great, thanks. Do they have official numbers? I think it's 1850-Sidditsphit and 1851-Gidditsphit. What about the others?

Damn, looks like the two new ones I found ARE two of the blends you already found, setut and getut. I didn't find them by blending and wasn't expecting blending to increase the symmetry of the vertex figure to tetrahedral, so I thought I'd found something new. If only I'd tried this a few months ago!

I was able to tell the odho blends weren't truly uniform by viewing cross sections vertex-on from different vertices which sometimes lead to different results at different vertices.

Ha, I did try that briefly, but the results looked very similar and very complicated, so I couldn't really spot the difference.

[Jabe]

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

[Mecejide]

243 more have just been discovered, bringing the count up to 2098. They are all in the disdi regiment.