perplexus.info :: Shapes : 3 colors

3 colors (Posted on 2003-05-01)

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: Elegant proof

| Comment 21 of 28 |

(In reply to Elegant proof by Bryan)

"If A and B are different colors"..... true. However, A and B can be the same color, since the distance between them is Бу3, not 1.

Posted by Ryan on 2003-05-06 19:11:37

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