Simple problem . Imagine a 3-dimensional extension of the Thanks, now I don't have to draw it. Three spheres, of 3" radius lie on a table top, each sphere touching the other two. What is the largest sphere that fits in the space bounded by these four objects? That is, the largest sphere that lies on the table and between and under the other three spheres. . Harder problem . What is the greatest number of spheres that have all pairs tangent at distinct single points? How many configur