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Strip method to construct a two-dimensional quasilattice with eight-fold symmetry |
| Weishen Huang(黄伟深) and Xiujun Fu(傅秀军)† |
| School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510640, China |
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Abstract Based on the substitution rule and symmetry, we propose a method to generate an octagonal quasilattice consisting of square and rhombus tiles. Local configurations and Ammann lines are used to guide the growth of the tiles in a quasiperiodic order. The structure obtained is a perfect eight-fold symmetric quasilattice, which is confirmed by the radial distribution function and the diffraction pattern.
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Received: 18 March 2024
Revised: 10 May 2024
Accepted manuscript online: 30 May 2024
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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:
Xiujun Fu
E-mail: phxjfu@scut.edu.cn
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Cite this article:
Weishen Huang(黄伟深) and Xiujun Fu(傅秀军) Strip method to construct a two-dimensional quasilattice with eight-fold symmetry 2024 Chin. Phys. B 33 096102
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