Timeline for A game on equiangular polygons
Current License: CC BY-SA 3.0
16 events
| when toggle format | what | by | license | comment | |
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| Jul 28, 2013 at 9:09 | vote | accept | CommunityBot | ||
| Jul 27, 2013 at 18:30 | comment | added | Joseph O'Rourke | The sequence $(1,2,3,2)$ goes to $(3,2,1,2)$ and then back to $(1,2,3,2)$. | |
| Jul 27, 2013 at 15:37 | comment | added | Barry Cipra | @Wlodzimierz, you're quite right. | |
| Jul 27, 2013 at 15:25 | comment | added | Włodzimierz Holsztyński | @Sally, it's rather a solitary game. | |
| Jul 27, 2013 at 15:22 | comment | added | Włodzimierz Holsztyński | @Barry--perhaps only a "quarter" of an answer: you need $n$ to be even. | |
| Jul 27, 2013 at 14:42 | answer | added | Pietro Majer | timeline score: 5 | |
| Jul 27, 2013 at 14:15 | history | edited | user30300 | CC BY-SA 3.0 |
improved
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| Jul 27, 2013 at 14:11 | comment | added | user30300 | @Joseph: Of course you can assume that cyclic form of problem. | |
| Jul 27, 2013 at 14:09 | comment | added | user30300 | @J. J. Green: do all vertices at once. | |
| Jul 27, 2013 at 13:45 | comment | added | Joseph O'Rourke | A more specific question: What is a nonconstant starting sequence that leads to $|A|$ finite? | |
| Jul 27, 2013 at 12:56 | comment | added | Barry Cipra | If $n$ is even, an alternating string of plus and minus $1$s becomes an alternating string of plus and minus $3$s, then $9$s, $27$s, etc. (This assumes "neighborhood numbers" means the two adjacent numbers, and also that all vertices are done at once, as J.J. Green commented.) So there's "half" an answer.... | |
| Jul 27, 2013 at 12:46 | comment | added | Samuele Giraudo | Why the 'teaching' tag for this question? | |
| Jul 27, 2013 at 11:36 | comment | added | Joseph O'Rourke | What role does the equiangularness of the polygon play? Would the question be the same for a cycle of numbers with the same replacement rule? | |
| Jul 27, 2013 at 11:08 | comment | added | J.J. Green | Could you clarify -- is (1) done on a vertex-by-vertex basis or "all vertices at once"? (I assume the latter) | |
| Jul 27, 2013 at 10:40 | comment | added | user30293 | Voted up because its a nice problem. But is it a problem for MO?? | |
| Jul 27, 2013 at 10:28 | history | asked | user30300 | CC BY-SA 3.0 |