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On the real combinations of cubes and octahedra
Author(s) -
Voytekhovsky Yury L.,
Stepenshchikov Dmitry G.
Publication year - 2020
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273319015821
Subject(s) - octahedron , polyhedron , diamond , curie , group (periodic table) , facet (psychology) , symmetry (geometry) , octahedral symmetry , point (geometry) , crystallography , point group , mathematics , automorphism group , combinatorics , materials science , automorphism , condensed matter physics , curie temperature , geometry , physics , chemistry , metallurgy , crystal structure , quantum mechanics , ion , psychology , social psychology , big five personality traits , personality , ferromagnetism
All the real combinations of cubes and octahedra (77657 in total) are enumerated and characterized by facet symbols and symmetry point groups. The most symmetrical polyhedra (with automorphism group orders not less than 6, 163 in total) are shown. It is assumed that they represent the most probable forms of natural diamond crystals. The results are discussed with respect to the Curie dissymmetry principle.