Timeline for On special points within convex solids with all planar sections passing through them having equal area
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 9 at 4:32 | comment | added | Nandakumar R | Thanks for pointing out the central symmetry assumption made by Funk's theorem. | |
| May 8 at 20:20 | comment | added | Noam D. Elkies | But Funk's theorem assumes that $C$ is centrally symmetric. The OP did not make this assumption; and the question about $C$ with more than one $P$ indicates that the OP really did want to allow bodies without central symmetry: a nonempty bounded set cannot have more than one central symmetry, because the composition of two distinct central symmetries $s_P, s_Q$ is translation by the nonzero vector $2(P-Q)$. | |
| May 8 at 3:47 | vote | accept | Nandakumar R | ||
| May 9 at 4:31 | |||||
| May 7 at 20:35 | history | answered | Guillaume Aubrun | CC BY-SA 4.0 |