Timeline for Distributing points evenly on a sphere
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Nov 26, 2019 at 22:24 | comment | added | Josiah Park | @Rudi_Birnbaum It suffices to check that two closest vertices in a dodecahedron (inscribed in the sphere) are at a distance closer than $0.647046$, since one can give a spherical code with separation larger than this (see neilsloane.com/packings). | |
| Dec 31, 2017 at 15:19 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Responding to a question.
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| Dec 31, 2017 at 9:29 | comment | added | Raphael J.F. Berger | $n=20$ is not a dodecahedron, why not and who solved that? | |
| Apr 18, 2017 at 10:41 | vote | accept | CPJ | ||
| Sep 8, 2015 at 12:41 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Update new result for n=10.
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| Jul 30, 2015 at 10:32 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Typo.
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| Jul 30, 2015 at 0:55 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Typo.
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| Jul 30, 2015 at 0:23 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Added Tammes problem history, as recounted by Musin & Tarasov.
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| Jul 29, 2015 at 23:11 | comment | added | user21349 | What's most surprising to me is that there is a link between a global property extrinsic to the surface (energy) and a local, intrinsic property (curvature). | |
| Jul 29, 2015 at 21:19 | comment | added | Joseph O'Rourke | @BenCrowell: Nice! (McAllister, I. W. "Conductor curvature and surface charge density." Journal of Physics. D, Applied Physics 23.3 (1990): 359-362.) That anything interesting is the $4$-th root of the curvature is amazing. | |
| Jul 29, 2015 at 20:54 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Minor clarification.
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| Jul 29, 2015 at 20:21 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Added a bit more detail.
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| Jul 29, 2015 at 19:25 | comment | added | user21349 | There is a problem similar to the Thompson problem, which is to find the minimum potential energy of a continuous charge distribution on a nonspherical conductor. There is a surprising set of exact solutions for some special shapes, in which the charge density is proportional to the fourth root of the absolute value of the Gaussian curvature. I W McAllister 1990 J. Phys. D: Appl. Phys. 23 359 doi:10.1088/0022-3727/23/3/016 | |
| Jul 29, 2015 at 12:18 | history | answered | Joseph O'Rourke | CC BY-SA 3.0 |