Strong Parameterization and Coordination Encirclements of Graph of Penrose Tiling Vertices

Shutov A. V.; Maleev A. V.

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Strong Parameterization and Coordination Encirclements of Graph of Penrose Tiling Vertices

机译：PenRose盖头顶点图的强大参数化和协调包环

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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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《Crystallography reports》 |2017年第4期|共7页
作者
Shutov A. V.; Maleev A. V.;
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Vladimir State Univ Vladimir 600000 Russia;

Vladimir State Univ Vladimir 600000 Russia;

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原文格式 PDF
正文语种 eng
中图分类晶体学;
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1. Configurations of the Penrose Tiling beyond Nearest Neighbors [J] . PENG Ben-Yi, FU Xiu-Jun 中国物理快报：英文版 . 2015,第005期
2. Scaling and Scaling-Relevant Dynamical Properties of Penrose Tiling [J] . LIU Zhengyou, LIU Youyan, TIAN Decheng, 中国物理快报：英文版 . 1995,第002期
3. Structure Transition of the Three-Dimensional Penrose Tiling Under Phason Strain Field [J] . SUN Jirong 中国物理快报：英文版 . 1993,第008期
4. Strong Parameterization and Coordination Encirclements of Graph of Penrose Tiling Vertices [J] . Shutov A. V., Maleev A. V. Crystallography reports . 2017,第4期

机译：PenRose盖头顶点图的强大参数化和协调包环
5. Penrose tiling fractality in coordination Cayley's tree graphs representation [J] . Mihalyuk A.N., Titov P.L., Yudin V.V. Physica, A. Statistical mechanics and its applications . 2010,第19期

机译：协调Cayley树图表示法中的Penrose平铺分形
6. Study of Penrose Tiling Using Parameterization Method [J] . Shutov A. V., Maleev A. V. Crystallography reports . 2019,第3期

机译：使用参数化方法研究PenRose Tiling
7. On the Parameterized Complexity of Cutting a Few Vertices from a Graph [C] . Fedor V. Fomin, Petr A. Golovach, Janne H. Korhonen International symposium on mathematical foundations of computer science . 2013

机译：从图上切出几个顶点的参数化复杂度
8. The Graph Cases of the Riemannian Positive Mass and Penrose Inequalities in All Dimensions [D] . Lam, Mau-Kwong George 2011

机译：所有维数上的黎曼正质量和彭罗斯不等式的图例
9. Colloquium Paper: New perspectives on forbidden symmetries quasicrystals and Penrose tilings [O] . Paul J. Steinhardt 1996

机译：座谈会论文：关于禁止对称准晶体和Penrose平铺
10. Fractality of the penrose tiling in coordination Cayley’s tree graphs representation method [O] . V. Yudin 2010

机译：Cayley树图中的PenRose百曲的断裂性：
11. No inherent glassiness in a Penrose tiling quasicrystal. [R] . Strandburg, K. J., Dressel, P. R. 1988

机译：penrose瓷砖准晶中没有固有的玻璃状。

Strong Parameterization and Coordination Encirclements of Graph of Penrose Tiling Vertices

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