A sphere is painted black and white. Show that there are 3 equidistant points of the same color.
(In reply to Simplify
Lets call your point that cannot be painted G. If EAG is an equilateral triangle, are you sure that CFG is? In a plane it is, but on a sphere I would like to see a proof.
Posted by Bractals
on 2007-02-13 17:06:00