Timeline for Is there a generalisation of the "sunflower spiral" to higher dimensions?
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| May 16, 2010 at 19:20 | comment | added | Victor Protsak | This seems to be an incomplete version of Lubotzky, Philips, Sarnak, "Hecke operators and distributing points on the sphere". | |
| May 16, 2010 at 16:12 | history | edited | S. Carnahan♦ | CC BY-SA 2.5 |
corrections, addendum
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| May 16, 2010 at 8:18 | comment | added | Henry Segerman | This looks promising: segerman.org/random/sphere_Carnahan_no_labels.pdf segerman.org/random/sphere_Carnahan_labels.pdf These show words up to length 5. The sphere has some transparency, so points on the far side are partially obscured by the sphere. In the version with labels, "a" is the inverse of "A", ditto for "b" and "B", and Mathematica draws all labels unobscured. It's pretty clear that there are some pairs of points that are very close to each other, so this choice of generating matrices seems like it could be improved upon in terms of "well-packing". | |
| May 16, 2010 at 5:16 | history | answered | S. Carnahan♦ | CC BY-SA 2.5 |