Abstract
Polyhedra with noncrystallographic symmetry are analyzed as the orbits of crystallographic point symmetry groups on a set of smooth or structured (“hatched”) planes. Polyhedra with symmetrically equivalent faces, obtained using crystallographic point groups but having noncrystallographic symmetry, and polyhedra, the symmetry group T of which is crystallographic but can be implemented only on the assumption of a noncrystallographic character of the internal structure of polyhedron, are studied. The results of the analysis for all 32 point symmetry groups are listed in table.
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Original Russian Text © T.I. Ovsetsina, E.V. Chuprunov, 2015, published in Kristallografiya, 2015, Vol. 60, No. 6, pp. 841–847.
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Ovsetsina, T.I., Chuprunov, E.V. Polyhedra with noncrystallographic symmetry as the orbits of crystallographic point symmetry groups. Crystallogr. Rep. 60, 769–775 (2015). https://doi.org/10.1134/S1063774515060255
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DOI: https://doi.org/10.1134/S1063774515060255