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The Rome de Lisle problem
Author(s) -
Voytekhovsky Yury L.,
Stepenshchikov Dmitry G.
Publication year - 2017
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/s2053273317011834
Subject(s) - tetragonal crystal system , simple (philosophy) , trigonal crystal system , hexagonal crystal system , vertex (graph theory) , orthorhombic crystal system , combinatorics , symmetry (geometry) , crystallography , physics , crystal structure , mathematics , geometry , chemistry , philosophy , graph , epistemology
The `Rome de Lisle problem' on the vertex and edge truncations has been formulated and solved for all crystal closed simple forms (two, eight, five and 15 for orthorhombic, trigonal + hexagonal, tetragonal and cubic syngonies, respectively). The collections of simple forms obtained are enumerated and considered as special combinations of simple forms in symmetry classes.