Timeline for Why do some uniform polyhedra have a "conjugate" partner?
Current License: CC BY-SA 4.0
11 events
when toggle format | what | by | license | comment | |
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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
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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
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Dec 15, 2017 at 5:25 | history | edited | j.c. | CC BY-SA 3.0 |
actual abstract isomorphism classes
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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
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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 |