perplexus.info :: Geometry : 2 Colors 2

2 Colors 2 (Posted on 2003-08-25)

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: ( Back to comment list | You must be logged in to post comments.)

re(2): 5-point proof

| Comment 5 of 14 |

(In reply to re: 5-point proof by Kelsey)

Sorry
My diagram should have looked like this:
__R
B___R___B
__R

Posted by Kelsey on 2003-08-26 15:39:07

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