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2 Colors 2 (Posted on 2003-08-25) Difficulty: 4 of 5
Suppose you have an infinite plane, and each point on the plane has been arbitrarily painted one of two colors.

Prove that there exists an equilateral triangle whose vertices are all the same color.

What is the fewest number of points needed to prove this?

See The Solution Submitted by DJ    
Rating: 4.3684 (19 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
selecting pointskeiko2004-06-27 18:41:15
No SubjectB M2003-09-29 04:46:38
re(3): 5-point proof - to DJCharlie2003-09-21 16:34:10
Questionre(2): 5-point proof - to DJaln2003-09-20 23:12:44
How about ...Lawrence2003-08-30 20:42:11
re(4): 5-point proofDJ2003-08-26 21:14:49
re(3): 5-point proofKelsey2003-08-26 20:59:23
Some Thoughtsre(2): 5-point proofDJ2003-08-26 16:51:48
re(2): 5-point proofKelsey2003-08-26 15:39:07
re: 5-point proofKelsey2003-08-26 15:29:18
Solution5-point proofBryan2003-08-26 10:59:20
Another proofBrian Wainscott2003-08-25 17:35:34
Some Thoughtsa proofCharlie2003-08-25 13:17:23
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