Email this article About crystal lattices and quasilattices in Euclidean space
- Authors: Prokhoda A.S.1
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Affiliations:
- Oles Honchar Dnepropetrovsk National University
- Issue: Vol 62, No 4 (2017)
- Pages: 505-510
- Section: Crystallographic Symmetry
- URL: https://journal-vniispk.ru/1063-7745/article/view/191094
- DOI: https://doi.org/10.1134/S1063774517040174
- ID: 191094
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Abstract
Definitions are given, based on which algorithms have been developed for constructing computer models of two-dimensional quasilattices and the corresponding quasiperiodic tilings in plane, the point symmetry groups of which are dihedral groups Dm (m = 5, 7, 8, 9, 10, 12, 14, 18), and the translation subgroups are free Abelian groups of the fourth or sixth rank. The angles at the tile vertices in the constructed tilings are calculated.
About the authors
A. S. Prokhoda
Oles Honchar Dnepropetrovsk National University
Author for correspondence.
Email: a-prokhoda@mail.ru
Ukraine, Dnepropetrovsk, 49050
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