Timeline for Dense sphere packings which are not lattice packings
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Apr 7, 2011 at 14:41 | vote | accept | Xandi Tuni | ||
| Apr 7, 2011 at 13:04 | history | edited | Xandi Tuni | CC BY-SA 2.5 |
added 306 characters in body
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| Apr 7, 2011 at 12:22 | answer | added | Henry Cohn | timeline score: 27 | |
| Apr 7, 2011 at 12:16 | answer | added | Gerry Myerson | timeline score: 1 | |
| Apr 7, 2011 at 11:21 | comment | added | Roland Bacher | I doubt that anything like that is proven since densest lattice packings are poorly understood (except in dimension $\leq 8$ and in dimension 24). Perhaps someone finds one day a $24-$dimensional sphere packing denser than the Leech lattice settling the question in the affirmative (but the Leech lattice is extraordinarily dense and can perhaps not be beaten by any packing). There is probably little hope to compute the densest sphere packings for enough dimensions in order to settle your question. | |
| Apr 7, 2011 at 10:18 | history | asked | Xandi Tuni | CC BY-SA 2.5 |