Every point in 3D-space is colored either red, green or blue. Let R (resp. G and B) be the set of distances between red (resp. green and blue) points. Prove that at least one of R, G, or B, consists of all the non-negative real numbers.

(In reply to Solution (Some details required) by Bractals)

"Colorless" points are giving me a problem understanding you.  The problem statement says every point is colored, so where are these colorless points coming from?

Posted by Richard on 2006-08-27 16:06:19