Timeline for How to best distribute points on two concentric circles?
Current License: CC BY-SA 2.5
10 events
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Apr 18, 2010 at 1:37 | comment | added | Will Jagy | Were you able to finish it with Damiano's method? | |
Apr 18, 2010 at 0:13 | vote | accept | 002 | ||
Apr 18, 2010 at 0:13 | history | bounty ended | 002 | ||
Apr 17, 2010 at 17:14 | comment | added | S. Carnahan♦ | Perhaps you could start by seeing whether the arguments of a locally optimal configuration change much when varying R/r, then reducing to the large R/r limit. | |
Apr 17, 2010 at 16:45 | history | bounty started | 002 | ||
Apr 16, 2010 at 2:07 | history | edited | 002 |
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Apr 14, 2010 at 11:31 | answer | added | damiano | timeline score: 2 | |
Apr 14, 2010 at 9:09 | comment | added | Gjergji Zaimi | Another idea would be to consider the process where we replace all points with the midpoints of the arcs between them. If one can prove that such a process increases the value of the product of the pairwise distances then the result follows, because the points converge to respective equidistributions. (This is how I visualize the proof for the circle case) | |
Apr 14, 2010 at 4:02 | history | edited | 002 | CC BY-SA 2.5 |
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Apr 14, 2010 at 3:56 | history | asked | 002 | CC BY-SA 2.5 |