A painter went to a single mathematical plane, and colored every single point on that plane one of two colors.

Prove that there exist two points on the plane that are exactly one meter apart and have the same color.

Well...I was under the impression that we were working with a single plane....a Plane is another name for a line....A Line having infinite number of points in between and also having definite points at the beginning and end... If we are working with only 2 colors...then obviously we would have two of the same color. What i don't understand is the part about the meter. How long is the plane initially? Maybe its me and I missed something.

Posted by Monica on 2003-08-03 14:08:52