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(2): Proof by contradiction

| Comment 23 of 28 |

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

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info