Durchdringungen von Kugelpackungen mit kubischer Symmetrie

An interpenetrating sphere packing is defined as a set of crystallographically equivalent spheres, which form two or more sphere packings without mutual contact. All types of interpenetrating sphere packings with cubic symmetry have been deduced, using the known symmetry regions for cubic space groups. These 39 types show 12 different kinds of interpenetration. Different types are called related if an interpenetrating sphere packing of one type can be generated from another one by omitting contacts or spheres. All such relations are tabulated.