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Eight Points (Posted on 2008-02-01) Difficulty: 3 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsPuzzle ThoughtsK Sengupta2023-06-06 22:43:41
Some ThoughtsMore for Charlie's thoughtful consideration [Close out]FrankM2008-02-11 21:36:15
re(5): More for Charlie's thoughtful considerationCharlie2008-02-06 00:36:23
Some Thoughtsre(4): More for Charlie's thoughtful considerationFrankM2008-02-05 21:37:04
re(3): For Charlie's thoughtful considerationCharlie2008-02-04 23:29:03
Some Thoughtsre(2): For Charlie's thoughtful considerationFrankM2008-02-04 19:37:38
re: For Charlie's thoughtful considerationCharlie2008-02-03 23:46:25
Some ThoughtsIronic, amusingFrankM2008-02-03 21:46:00
Some ThoughtsFor Charlie's thoughtful considerationFrankM2008-02-03 21:42:15
Solutioncorrection; real answerCharlie2008-02-03 12:50:46
re(2): Summary?Bractals2008-02-03 12:06:04
re(6): Further improvementCharlie2008-02-03 11:50:52
re: Summary?Charlie2008-02-03 11:23:01
re(5): Further improvementFrankM2008-02-02 23:42:52
Summary?brianjn2008-02-02 19:58:21
re(5): Further improvementCharlie2008-02-02 12:28:56
re(4): Further improvementCharlie2008-02-02 10:45:59
re(4): SolutionCharlie2008-02-02 10:40:29
re(3): Further improvementFrankM2008-02-02 07:11:34
re(3): SolutionBractals2008-02-02 04:53:35
re(3): Solutionbrianjn2008-02-02 03:46:26
Solutionre(2): SolutionCharlie2008-02-02 01:53:25
re: Solutionbrianjn2008-02-02 00:38:36
re(4): SolutionCharlie2008-02-01 19:16:38
re(3): SolutionBractals2008-02-01 15:40:01
re(2): SolutionDej Mar2008-02-01 13:49:38
re: SolutionBractals2008-02-01 13:41:20
re: SolutionBractals2008-02-01 13:34:43
SolutionSolutionDej Mar2008-02-01 13:10:59
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