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3 colors (Posted on 2003-05-01) Difficulty: 3 of 5
Imagine that a painter went down to a mathematical plane and colored all of the points on that plane one of three colors.

Prove that there exist two points on this plane, exactly one meter apart, that have the same color.

See The Solution Submitted by Jonathan Waltz    
Rating: 4.1000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Proof by contradiction | Comment 23 of 27 |
(In reply to re: Proof by contradiction by Ryan)

Reread my proof AND read DJ's analysis of my proof. Note that my proof is a proof by contradiction.
  Posted by Brian Smith on 2003-05-07 03:40:58

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