Configuration Spaces of Equal Spheres Touching a Given Sphere: The Twelve Spheres Problem

Rob Kusner, Wöden Kusner, Jeffrey C. Lagarias +1

The problem of twelve spheres is to understand, as a function of $r\in (0,r_{max}(12)]$, the configuration space of $12$ non-overlapping equal spheres of radius $r$ touching a cen…