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 Eight Points (Posted on 2008-02-01)
Eight points are placed on the surface of a sphere with a radius of 1. The shortest distance between any two points is greater than 1.2. How can the points be arranged?

Hint: They are not arranged as a cube. The cube would have an edge length of only 2/sqrt(3) = 1.1547.

 See The Solution Submitted by Brian Smith Rating: 4.4000 (5 votes)

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 Subject Author Date More for Charlie's thoughtful consideration [Close out] FrankM 2008-02-11 21:36:15 re(5): More for Charlie's thoughtful consideration Charlie 2008-02-06 00:36:23 re(4): More for Charlie's thoughtful consideration FrankM 2008-02-05 21:37:04 re(3): For Charlie's thoughtful consideration Charlie 2008-02-04 23:29:03 re(2): For Charlie's thoughtful consideration FrankM 2008-02-04 19:37:38 re: For Charlie's thoughtful consideration Charlie 2008-02-03 23:46:25 Ironic, amusing FrankM 2008-02-03 21:46:00 For Charlie's thoughtful consideration FrankM 2008-02-03 21:42:15 correction; real answer Charlie 2008-02-03 12:50:46 re(2): Summary? Bractals 2008-02-03 12:06:04 re(6): Further improvement Charlie 2008-02-03 11:50:52 re: Summary? Charlie 2008-02-03 11:23:01 re(5): Further improvement FrankM 2008-02-02 23:42:52 Summary? brianjn 2008-02-02 19:58:21 re(5): Further improvement Charlie 2008-02-02 12:28:56 re(4): Further improvement Charlie 2008-02-02 10:45:59 re(4): Solution Charlie 2008-02-02 10:40:29 re(3): Further improvement FrankM 2008-02-02 07:11:34 re(3): Solution Bractals 2008-02-02 04:53:35 re(3): Solution brianjn 2008-02-02 03:46:26 re(2): Solution Charlie 2008-02-02 01:53:25 re: Solution brianjn 2008-02-02 00:38:36 re(4): Solution Charlie 2008-02-01 19:16:38 re(3): Solution Bractals 2008-02-01 15:40:01 re(2): Solution Dej Mar 2008-02-01 13:49:38 re: Solution Bractals 2008-02-01 13:41:20 re: Solution Bractals 2008-02-01 13:34:43 Solution Dej Mar 2008-02-01 13:10:59

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