Strong parameterization and coordination encirclements of graph of Penrose tiling vertices
| Autor: | A. V. Shutov, A. V. Maleev |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
010302 applied physics
Graph center General Chemistry 010403 inorganic & nuclear chemistry Condensed Matter Physics 01 natural sciences Graph 0104 chemical sciences Computer Science::Robotics Combinatorics 0103 physical sciences General Materials Science Arrangement of lines Rhombille tiling MathematicsofComputing_DISCRETEMATHEMATICS Penrose tiling Mathematics |
| Zdroj: | Crystallography Reports. 62:522-528 |
| ISSN: | 1562-689X 1063-7745 |
| DOI: | 10.1134/s1063774517040216 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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