Mecejide wrote:What symmetry do the verfs of the two uniforms have?
Mecejide wrote:We’ve actually been recently discussing the blends of prissi and prarsi with members of categories 21, 22, 28, and 29 on the Discord server. You can actually get the sidpapixhi-5 prissi blend to work in Stella, among others.
Edit: the blends aren’t swirlprisms. They have what Bowers calls ixitic symmetry.
username5243 wrote:Ixitic symmetry is like hyic where each of the 120 dodecahedral elements instead has chiral tet symmetry instead.
we actually have a Discrod server now that is quite active, with lots of new discoveries this year. Here's the link if you want to join:
https://discord.gg/V9FUnH
_Geometer wrote:Mecejide wrote:What symmetry do the verfs of the two uniforms have?
Chiral 3-fold dihedral - if I can figure out how embed files from Stella4d, I will upload all of the verfs I have found.
username5243 wrote:For those who are not on the discord yet, Bowers has just blended sidditsphit with odho (a demitessics ico member) and it came out uniform. That means there are even more sishi members tha we thought before, probably enough that Bowers has designated these to be category 30 of uniform polychora. The counting is still in progress, so we don't have exact numbers for now..
Polyhedron Dude wrote:Try this link, it seems to be more recent.
https://discord.gg/MMnVMTdn
The odho blends look to be false positives. I checked them more closely, although they have identical vertex figures, they are not truly vertex transitive, sort of like the pseudorhombicuboctahedron. Currently there are six uniform finds for this year, the first two by _Geometer (in sishi regiment), the next two found by me by blending (also in sishi), and two more by _Geometer which has the grand antiprism as a convex hull and are derivitives of the sishi regiment. Also of note is the 'scaliform explosion' that has recently happened due to _Geometer, Mecejide, and myself. There are now 22 scaliform categories plus one infinite one.
Polyhedron Dude wrote:Here is a perminate link to the discord, the other one seems to change daily.
https://discord.gg/zMRu7T4
I'll go to the Stella Forums to upload the stella files, it won't let me do it here.
username5243 wrote:So, uh, something happened last night.
Someone (guess who?) found a uniform polychoron as a faceting of the scaliform Disdi. Then it turns out you can blend it with ico members in A LOT of ways.
There appear to be no less than 243(!) new uniform polychora from this construction, and Bowers is still trying to find more of them.
So, yeah, that happened.
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