In a cube of side 4, I pack eight spheres of unit radius.

What is the largest sphere I can place in the center (such that it doesn't overlap any of the other spheres)?

Actually, it goes to infinity with √n.

The answer is actually, √n-1.

But, we're just talking.... It is a very interesting and related problem to PROVE that this is so. Anyone? ;-)

Posted by SilverKnight on 2004-02-13 14:44:54