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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: Proof by contradiction | Comment 17 of 28 |
(In reply to Proof by contradiction by Brian Smith)

A lot simpler than mine; wish I'd thought of that.
  Posted by Charlie on 2003-05-01 10:08:13

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