Strip method to construct a two-dimensional quasilattice with eight-fold symmetry

doi:10.1088/1674-1056/ad51f2

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.

Keywords: quasicrystals eight-fold symmetry Ammann-Beenker tiling

Received: 18 March 2024
Revised: 10 May 2024
Accepted manuscript online: 30 May 2024

PACS:	61.44.Br	(Quasicrystals)
	61.50.Ah	(Theory of crystal structure, crystal symmetry; calculations and modeling)
	02.60.Cb	(Numerical simulation; solution of equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11674102.

Corresponding Authors: Xiujun Fu
E-mail: phxjfu@scut.edu.cn

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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Strip method to construct a two-dimensional quasilattice with eight-fold symmetry

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