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2 colors (Posted on 2003-04-27)

A painter went to a single mathematical plane, and colored every single point on that plane one of two colors.

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

See The Solution Submitted by Jonathan Waltz

Rating: 2.1818 (11 votes)

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Quick and easy

| Comment 8 of 9 |

Presumably, one draws an equilateral triangle with side length 1. Then at least two of the three vertices must share the same colour.

Posted by FrankM on 2008-02-27 11:39:37

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