| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Self-Similar Transformation and Vertex Configurations of the Octagonal Ammann–Beenker Tiling |
| Hong-Mei Zhang, Cheng Cai, Xiu-Jun Fu** |
School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510640
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| Cite this article: |
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Hong-Mei Zhang, Cheng Cai, Xiu-Jun Fu 2018 Chin. Phys. Lett. 35 066101 |
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Abstract Based on the matching rules for squares and rhombuses, we study the self-similar transformation and the vertex configurations of the Ammann–Beenker tiling. The structural properties of the configurations and their relations during the self-similar transformation are obtained. Our results reveal the distribution correlations of the configurations, which provide an intuitive understanding of the octagonal quasi-periodic structure and also give implications for growing perfect quasi-periodic tiling according to the local rules.
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Received: 27 December 2017
Published: 19 May 2018
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| PACS: |
61.44.Br
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(Quasicrystals)
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61.50.Ah
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(Theory of crystal structure, crystal symmetry; calculations and modeling)
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02.60.Cb
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(Numerical simulation; solution of equations)
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| Fund: Supported by the National Natural Science Foundation of China under Grant No 11674102. |
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