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Spacy colors (Posted on 2006-08-25) Difficulty: 4 of 5
Every point in 3D-space is colored either red, green or blue. Let R (resp. G and B) be the set of distances between red (resp. green and blue) points. Prove that at least one of R, G, or B, consists of all the non-negative real numbers.

See The Solution Submitted by JLo    
Rating: 4.0000 (2 votes)

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re(2): Solution (Some details required) | Comment 7 of 10 |
(In reply to re: Solution (Some details required) by Richard)

They are points that exist in E^3 that our assumptions require, but our assumptions also show that they cannot have the colors red, green, or blue. Hence the contradiction. 
  Posted by Bractals on 2006-08-27 20:13:52

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