E. S. Fedorov’s algorithm of the generation of the combinatorial diversity of convex polyhedra: The latest results and applications

被引：0
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作者：
Yu. L. Voytekhovsky
机构：
[1] Russian Academy of Sciences,Geological Institute, Kola Scientific Center
来源：
Journal of Structural Chemistry | 2014年 / 55卷
关键词：
convex polyhedron; combinatorial type; Fedorov’s algorithm; point symmetry group; crystallographic and non-crystallographic symmetry groups; combinatorially asymmetric polyhedra; Schlegel projection; systematic and nomenclature of convex polyhedra;
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摘要：
E. S. Fedorov’s algorithm allowing us to obtain the full combinatorial diversity of convex polyhedra from the tetrahedron is considered in the paper. The latest results on the number of combinatorially different convex n-hedra for the given n and their point symmetry groups are presented. Possible applications of the results are shown. The problems are formulated, which can be solved at present only by means of powerful computers.
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页码：1293 / 1307
页数：14
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