You may find this
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)?
(In reply to Different Sulution
The problem with this is that the plane on which this occurs, one unit behind the front plane of the cube, does not contain the center of the small red sphere. That sphere is farther back, allowing its radius to be larger than if it had to fit in the middle of the plane containing the centers of four of the spheres.
Posted by Charlie
on 2004-02-09 11:19:57