research papers
74 types of interpenetrating sphere packings and 4 types of interpenetrating layers of spheres exist that occur with highest symmetry in the cubic, hexagonal or tetragonal crystal family. The patterns of the interpenetration are analysed.
abstracts
abstracts
research papers
For the 13 trivariant lattice complexes of the trigonal space groups, all types of homogeneous sphere packings, interpenetrating sphere packings and layers are derived. Examples of related crystal structures are given.
research papers
All homogeneous sphere packings were derived that refer to the invariant and univariant lattice complexes with orthorhombic symmetry. Examples of corresponding crystal structures are given.