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- Publisher
- Springer Journals
- Copyright
- Copyright © Pleiades Publishing, Inc. 2021. ISSN 1063-7745, Crystallography Reports, 2021, Vol. 66, No. 3, pp. 367–376. © Pleiades Publishing, Inc., 2021.
- ISSN
- 1063-7745
- eISSN
- 1562-689X
- DOI
- 10.1134/s1063774521030275
- Publisher site
- See Article on Publisher Site
Abstract
The mappings of linear substructures of four-dimensional 240-vertex diamond-like polyhedron (polytope {240}) to linear structures of three-dimensional Euclidean space have been considereded. The versions of linear tetrahedrally coordinated structures containing pendant vertices and hexacycles in different ratios are obtained. Being “ideal prototypes,” these versions can justify the existence of the corresponding real linear structures. The possibility for combining these structures into complexes is determined by the symmetries of polytope {240} or higher symmetry structures in which they can be inserted. The group-theoretical description of all complexes of linear structures is presented.
Journal
Crystallography Reports – Springer Journals
Published: May 25, 2021