Mappings of four-dimensional 240-vertex polytope {240}. I. Linear diamond-like structures and tetrahedrally coordinated chainsстатья
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Дата последнего поиска статьи во внешних источниках: 11 ноября 2020 г.
Аннотация:The mappings of linear substructures of four-dimensional 240-vertex diamond-like polyhedron(polytope {240}) into the three-dimensional Euclidean space have been considered. The versions of thesesubstructures are revealed, which determine ideal prototypes of linear tetrahedrally coordinated structures,the graphs of which do not contain pendant vertices or cycles. The versions obtained reveal linear diamondlike substructures and tetrahedrally coordinated chains of various compositions, the noncrystallographic(hidden) symmetry of which can ensure their combination in correspondence with the symmetries of polytope {240} or eight-dimensional lattice E8.