Timeline for Is the diameter of a centrally symmetric convex body realized by a pair of antipodal points?
Current License: CC BY-SA 3.0
18 events
| when toggle format | what | by | license | comment | |
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| Jun 12, 2015 at 19:16 | answer | added | TonyK | timeline score: 2 | |
| S Apr 23, 2014 at 19:41 | history | bounty ended | Boris Bukh | ||
| S Apr 23, 2014 at 19:41 | history | notice removed | Boris Bukh | ||
| Apr 23, 2014 at 18:34 | comment | added | Alfredo Hubard | Here @alvarezpaiva the previous comment should clarify the confusion. | |
| Apr 23, 2014 at 18:33 | comment | added | Alfredo Hubard | Indeed, these two questions might be very different. Probably it wasn't very wise to write about both in the same MO post. The discrete metric is defined only on the vertex set of the polytope. Paths are restricted to walk on the $1$-skeleton and their length is given by the graph metric, i.e. the length of every edge is prescribed to be $1$ (no matter how far the corresponding vertices with respect to the Euclidean distance). @Dylan Thurston. | |
| Apr 21, 2014 at 11:07 | comment | added | Dylan Thurston | By the "graph metric on the 1-skeleton", I take it you mean the metric on the graph formed by the edges. But this metric is not the restriction of the geodesic metric on the whole boundary, nor is the optimum for the full question necessarily realized by vertices (as noted by Noam Elkies for the cube). So the discrete question remains a little unclear to me. | |
| Apr 18, 2014 at 17:52 | answer | added | Joseph O'Rourke | timeline score: 12 | |
| Apr 17, 2014 at 18:05 | answer | added | Igor Rivin | timeline score: 10 | |
| Apr 17, 2014 at 16:07 | answer | added | Noam D. Elkies | timeline score: 17 | |
| Apr 17, 2014 at 15:06 | history | edited | Boris Bukh | CC BY-SA 3.0 |
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| Apr 17, 2014 at 15:04 | comment | added | alvarezpaiva | I edited the question, but the second part about the graph metric is still unclear to me. | |
| Apr 17, 2014 at 15:02 | history | edited | alvarezpaiva | CC BY-SA 3.0 |
Made the question precise based on the comment by its author. However, the meaning of the second part remains unclear to me.
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| S Apr 17, 2014 at 14:46 | history | bounty started | Boris Bukh | ||
| S Apr 17, 2014 at 14:46 | history | notice added | Boris Bukh | Draw attention | |
| Apr 14, 2014 at 15:04 | history | edited | Alfredo Hubard | CC BY-SA 3.0 |
added 9 characters in body
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| Apr 14, 2014 at 14:39 | history | edited | Alfredo Hubard | CC BY-SA 3.0 |
added 37 characters in body
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| Apr 14, 2014 at 13:47 | answer | added | Boris Bukh | timeline score: 12 | |
| Apr 14, 2014 at 13:34 | history | asked | Alfredo Hubard | CC BY-SA 3.0 |