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 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)

 Subject Author Date Possible Solution? Brittany 2004-04-17 10:55:10 Wait! I have something else! Ryan 2003-05-07 18:38:50 Try this proof Ryan 2003-05-07 15:46:43 re(2): Proof by contradiction Charlie 2003-05-07 06:15:40 re(2): Proof by contradiction Brian Smith 2003-05-07 03:40:58 re: Proof by contradiction Ryan 2003-05-06 19:25:56 re: Elegant proof Ryan 2003-05-06 19:11:37 Solution Chaz 2003-05-02 13:19:00 Elegant proof Bryan 2003-05-01 13:01:09 re: Proof by contradiction DJ 2003-05-01 12:46:00 re: Proof by contradiction Charlie 2003-05-01 10:08:13 Proof by contradiction Brian Smith 2003-05-01 08:37:44 Proof Charlie 2003-05-01 08:13:04 Unproveable DuCk 2003-05-01 08:08:40 re: Two Or Three ? friedlinguini 2003-05-01 06:02:43 re(3): Could be right Charlie 2003-05-01 05:38:00 re: Three-Dimensional Plane Charlie 2003-05-01 05:32:54 re(2): Could be right Hank 2003-05-01 05:29:46 re: Two-Dimensional Plane Charlie 2003-05-01 05:29:07 Three-Dimensional Plane Ravi Raja 2003-05-01 05:27:12 Two-Dimensional Plane Ravi Raja 2003-05-01 05:25:28 Two Or Three ? Ravi Raja 2003-05-01 05:24:58 re(3): Could be right Charlie 2003-05-01 05:24:13 re: Could be right Brian Smith 2003-05-01 04:54:27 re(2): Could be right Ravi Raja 2003-05-01 04:46:56 re: Could be right friedlinguini 2003-05-01 04:36:43 Could be right Hank 2003-05-01 04:16:30

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