Timeline for Known configurations maximizing the volume of the convex hull of n points on the unit sphere
Current License: CC BY-SA 4.0
11 events
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Aug 17 at 13:34 | comment | added | Timothy Chow | Worth mentioning that, as Berman and Hanes note, the $n=8$ polyhedron was found by Donald Grace, Search for largest polyhedra, in the early 1960s, although Grace did not prove optimality. (I learned this fact from Stand-up Maths, who asks if this is the first shape ever discovered with the help of an electronic computer.) | |
Sep 7, 2022 at 9:49 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
added 2 characters in body
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Sep 6, 2022 at 20:24 | vote | accept | Gro-Tsen | ||
Sep 2, 2022 at 22:36 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
Broadened.
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Sep 2, 2022 at 22:31 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
Broadened.
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Aug 31, 2022 at 13:36 | comment | added | Oscar Lanzi | Related: math.stackexchange.com/questions/979660/…. This identifies bipyramidal solution for all of $n=5,6,7$ including the regular one for $n=6$. | |
Aug 31, 2022 at 13:34 | comment | added | Oscar Lanzi | You reorient the equatorial plane. If D and E are two points in the northern hemisphere and the the others are in the south with A having its longitude closest to D, you interchange A with D. | |
Aug 31, 2022 at 13:30 | comment | added | user44143 | What about configurations with three points in the southern hemisphere and two points in the northern hemisphere? | |
Aug 31, 2022 at 12:03 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
Bad typo found, forced to correct.
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Aug 31, 2022 at 11:58 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
added 3 characters in body
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Aug 31, 2022 at 11:27 | history | answered | Oscar Lanzi | CC BY-SA 4.0 |