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About crystal lattices and quasilattices in Euclidean space

About crystal lattices and quasilattices in Euclidean space 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 D m (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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Crystallography Reports Springer Journals

About crystal lattices and quasilattices in Euclidean space

Crystallography Reports , Volume 62 (4): 6 – Jul 1, 2017

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References (11)

Publisher
Springer Journals
Copyright
2017 Pleiades Publishing, Inc.
ISSN
1063-7745
eISSN
1562-689X
DOI
10.1134/s1063774517040174
Publisher site
See Article on Publisher Site

Abstract

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 D m (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.

Journal

Crystallography ReportsSpringer Journals

Published: Jul 1, 2017

Keywords: Crystallography and Scattering Methods

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