Talk:Szilassi polyhedron

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Abstractly regular?[edit source]

I added a citation needed to the claim that this is abstractly regular. It seems probable, but there is no polyhedron of type {6,3} with 84 flags in the Atlas of small abstract regular polytopes and I wasn't able to find any source to back up the claim. A paper by Szilassi calls the polyhedron a "regular toroid" but the definition given for this term is much weaker than is required for that to imply abstractly regular. 2603:7000:8901:F6DE:29A9:49EC:372D:BAEF 18:18, 7 March 2023 (UTC)

It's not abstractly regular. Sycamore916 (talk) 02:07, 17 March 2023 (UTC)

Weakly regular?[edit source]

Wanted to revive a discussion on Discord -- is this thing weakly regular as an abstract polyhedron? Vel (talk) 16:22, 6 July 2023 (UTC)

It should be weakly regular. Here is its flags colored by their orbits:
Notice that all edges, faces and vertices are colored the same. Sycamore916 (talk) 18:37, 6 July 2023 (UTC)