Substitutions of vertex configuration of Ammann–Beenker tiling in framework of Ammann lines  

作　　者：Jia-Rong Ye Wei-Shen Huang Xiu-Jun Fu 叶家容;黄伟深;傅秀军(School of Physics and Optoelectronics,South China University of Technology,Guangzhou 510640,China)

机构地区：[1]School of Physics and Optoelectronics,South China University of Technology,Guangzhou 510640,China

出　　处：《Chinese Physics B》2022年第8期500-504,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11674102)。

摘　　要：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.

关 键 词：QUASICRYSTALS Ammann–Beenker tiling Ammann lines substitution rules 

分 类 号：O753.3[理学—晶体学]