Mutually Equidistant Spheres that Intersect
arXiv:1301.5515
Abstract
The setting for this brief paper is R^3. Distance between two spheres is understood as distance delta between spherical centers. For instance, a Reuleaux tetrahedron T is the intersection of four unit balls satisfying delta=1 pairwise. Volume and surface area of T are already well-known; our humble contribution is to calculate the mean width of T.
11 pages