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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: ( You must be logged in to post comments.)
  Subject Author Date
Possible Solution?Brittany2004-04-17 10:55:10
Wait! I have something else!Ryan2003-05-07 18:38:50
Try this proofRyan2003-05-07 15:46:43
re(2): Proof by contradictionCharlie2003-05-07 06:15:40
re(2): Proof by contradictionBrian Smith2003-05-07 03:40:58
re: Proof by contradictionRyan2003-05-06 19:25:56
re: Elegant proofRyan2003-05-06 19:11:37
SolutionChaz2003-05-02 13:19:00
SolutionElegant proofBryan2003-05-01 13:01:09
re: Proof by contradictionDJ2003-05-01 12:46:00
re: Proof by contradictionCharlie2003-05-01 10:08:13
SolutionProof by contradictionBrian Smith2003-05-01 08:37:44
SolutionProofCharlie2003-05-01 08:13:04
UnproveableDuCk2003-05-01 08:08:40
re: Two Or Three ?friedlinguini2003-05-01 06:02:43
re(3): Could be rightCharlie2003-05-01 05:38:00
re: Three-Dimensional PlaneCharlie2003-05-01 05:32:54
re(2): Could be rightHank2003-05-01 05:29:46
re: Two-Dimensional PlaneCharlie2003-05-01 05:29:07
SolutionThree-Dimensional PlaneRavi Raja2003-05-01 05:27:12
SolutionTwo-Dimensional PlaneRavi Raja2003-05-01 05:25:28
QuestionTwo Or Three ?Ravi Raja2003-05-01 05:24:58
re(3): Could be rightCharlie2003-05-01 05:24:13
re: Could be rightBrian Smith2003-05-01 04:54:27
re(2): Could be rightRavi Raja2003-05-01 04:46:56
re: Could be rightfriedlinguini2003-05-01 04:36:43
Some ThoughtsCould be rightHank2003-05-01 04:16:30
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