On the real crystal octahedra.
A real crystal octahedron is defined as any polyhedron bounded, at least, by some of four pairs of parallel planes being in a standard crystallographic orientation with arbitrary distances between them. All the combinatorially non-equivalent shapes (30 in total) are found and characterized by 2-subordination symbols, automorphism group orders and symmetry point groups. The results are discussed with respect to the diamond crystal morphology.
Voytekhovsky
Yury L
YL
Laboratory for Mathematical Investigations in Crystallography, Mineralogy and Petrography, High Technologies Centre, Kola Branch of Petrozavodsk State University, 14 Fersman Street, 184209 Apatity, Russia. voyt@geoksc.apatity.ru