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.
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Original Russian Text © A.V. Shutov, A.V. Maleev, 2017, published in Kristallografiya, 2017, Vol. 62, No. 4, pp. 535–542.
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Shutov, A.V., Maleev, A.V. Strong parameterization and coordination encirclements of graph of Penrose tiling vertices. Crystallogr. Rep. 62, 522–528 (2017). https://doi.org/10.1134/S1063774517040216
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DOI: https://doi.org/10.1134/S1063774517040216