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Substitutions of vertex configuration of Ammann-Beenker tiling in framework of Ammann lines |
| Jia-Rong Ye(叶家容), Wei-Shen Huang(黄伟深), and Xiu-Jun Fu(傅秀军)† |
| School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510640, China |
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Abstract The Ammann-Beenker tiling is a typical model for two-dimensional octagonal quasicrystals. The geometric properties of local configurations are the key to understanding its formation mechanism. We study the configuration correlations in the framework of Ammann lines, giving an in-depth inspection of this eightfold symmetric structure. When both the vertex type and the orientation are taken into account, strict confinements of neighboring vertices are found. These correlations reveal the structural properties of the quasilattice and also provide substitution rules of vertex along an Ammann line.
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Received: 27 December 2021
Revised: 22 February 2022
Accepted manuscript online: 02 March 2022
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PACS:
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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: Project supported by the National Natural Science Foundation of China (Grant No. 11674102). |
Corresponding Authors:
Xiu-Jun Fu
E-mail: phxjfu@scut.edu.cn
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Cite this article:
Jia-Rong Ye(叶家容), Wei-Shen Huang(黄伟深), and Xiu-Jun Fu(傅秀军) Substitutions of vertex configuration of Ammann-Beenker tiling in framework of Ammann lines 2022 Chin. Phys. B 31 086101
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