Email this article Strong parameterization and coordination encirclements of graph of Penrose tiling vertices
- Authors: Shutov A.V.1, Maleev A.V.1
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Affiliations:
- Vladimir State University
- Issue: Vol 62, No 4 (2017)
- Pages: 522-528
- Section: Theory of Crystal Structures
- URL: https://journals.rcsi.science/1063-7745/article/view/191104
- DOI: https://doi.org/10.1134/S1063774517040216
- ID: 191104
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Abstract
The coordination encirclements in a graph of Penrose tiling vertices have been investigated based on the analysis of vertice parameters. A strong parameterization of these vertices is developed in the form of a tiling of a parameter set in the region corresponding to different first coordination encirclements of vertices. An algorithm for constructing tilings of a set of parameters determining different coordination encirclements in a graph of Penrose tiling vertices of order n is proposed.
About the authors
A. V. Shutov
Vladimir State University
Email: andr_mal@mail.ru
Russian Federation, Vladimir, 600000
A. V. Maleev
Vladimir State University
Author for correspondence.
Email: andr_mal@mail.ru
Russian Federation, Vladimir, 600000
