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.
"one of three colors" can be taken as "selected one color from three", so there you go. Each plane must have at least 2 points to be considered a plane. And, two points of the same color, no matter how far apart, will remain the same color....
... am I right? I'm going to check the solition now...
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Posted by Brittany
on 2004-04-17 10:55:10 |
Possible Solution?
