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Painted Sphere (Posted on 2007-02-13) Difficulty: 3 of 5
A sphere is painted black and white. Show that there are 3 equidistant points of the same color.

No Solution Yet Submitted by Art M    
Rating: 4.0000 (1 votes)

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re: Simplify | Comment 4 of 9 |
(In reply to Simplify by Jer)

Lets call your point that cannot be painted G. If EAG is an equilateral triangle, are you sure that CFG is? In a plane it is, but on a sphere I would like to see a proof.
  Posted by Bractals on 2007-02-13 17:06:00

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