Timeline for Can a convex polytope with $f$ facets have more than $f$ facets when projected into $\mathbb{R}^2$?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2021 at 6:01 | comment | added | Pietro Majer | So more generally, the analogous deformed prism with base an n-gon shows that one can obtain a 2n-gon as a projection of a polyhedron with n+2 facets. | |
| Jan 20, 2017 at 21:21 | comment | added | Nate | That I'm not sure about. I'll note that that example is vertex transitive (but not facet transitive). I will say that this does hold for all regular (i.e. flag transitive) polytopes, with the possible exception of the 120-cell, which is unlikely but I don't want to take the time to analyze it. | |
| Jan 20, 2017 at 19:05 | comment | added | Pedro Ruiz | Thanks for the counterexample. Does requiring $P$ to be facet-transitive and vertex-transitive have an effect? | |
| Jan 20, 2017 at 18:45 | vote | accept | Pedro Ruiz | ||
| Jan 20, 2017 at 18:41 | history | answered | Nate | CC BY-SA 3.0 |