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Nov 9 at 18:43 comment added Daniel Sebald $U_{46}$ and $U_{64}$ aren’t isomorphic to each other, either. The former has 20 18-sided Petrie polygons, while the latter has 12 30-sided Petrie polygons.
Feb 19, 2021 at 4:42 history edited j.c. CC BY-SA 4.0
fix incorrect information
Feb 19, 2021 at 4:30 comment added j.c. @DanielSebald Hmm, I think you're right! In any case I was definitely too trusting of the results on Klitzing's page.
Feb 18, 2021 at 22:55 comment added Daniel Sebald $13$ and $14$ aren’t isomorphic. $14$’s 1-skeleton graph is square-free, but $13$’s isn’t.
Dec 15, 2017 at 5:31 history edited j.c. CC BY-SA 3.0
added 8 characters in body
Dec 15, 2017 at 5:25 history edited j.c. CC BY-SA 3.0
actual abstract isomorphism classes
Dec 11, 2017 at 19:33 comment added Igor Pak I agree with the Galois group comment. There is actually very little work in this direction, such as this paper turpion.org/php/paper.phtml?journal_id=sm&paper_id=798
Dec 11, 2017 at 16:04 comment added j.c. @TitoPiezasIII thanks! I rewrote parts of my answer since that example showed me that my "numerator" criterion wasn't sufficient.
Dec 11, 2017 at 16:03 history edited j.c. CC BY-SA 3.0
some corrections
Dec 11, 2017 at 11:13 comment added Tito Piezas III Among the $23$ $U_n$ where the squared circumradius has degree $k=1$, the only pairs with the same number of faces, edges, and vertices are the small and great ditrigonal icosidodecahedron ($U_{30},\, U_{47}$) which you mentioned, and the small and great dodecahemicosahedron ($U_{62},\,U_{65}$).
Dec 11, 2017 at 8:30 history answered j.c. CC BY-SA 3.0