Configurations of the Penrose Tiling beyond Nearest Neighbors
PENG Ben-Yi, FU Xiu-Jun**
Department of Physics, South China University of Technology, Guangzhou 510640
Abstract ：Starting from the eight vertex types in the Penrose tiling, we investigate the configurations beyond the nearest neighbors. The detailed structure of configurations and their concentrations in the whole pattern are obtained. It is found that the number of configuration types increases greatly when the observed clusters are becoming larger, which indicates that it is difficult to generate a perfect Penrose tiling according to the local matching rules.
收稿日期: 2015-02-03
出版日期: 2015-06-01
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
CHEN Zhi-Wei,FU Xiu-Jun**. Quasicrystalline Phase with Eighteen-Fold Diffraction Symmetry in Molecular Dynamics Simulations
[7]
WEN Zhang-Bin;HOU Zhi-Lin;FU Xiu-Jun**
. Monte Carlo Simulation of the Potts Model on a Dodecagonal Quasiperiodic Structure
[8]
FU Hong;LIAO Long-Guang;FU Xiu-Jun. Covering Rules and Nearest Neighbour Configurations of the Dodecagonal Quasiperiodic Structure
[9]
LIAO Long-Guang;FU Xiu-Jun;HOU Zhi-Lin. Configurations and Self-similar Transformation of Octagonal Quasilattice
[10]
WANG Jian-Bo;MA Jia-Yan;LU Lu;XIONG Dong-Xia;ZHAO Dong-Shan;WANG Ren-Hui. Plastic Deformation of Fine-Grained Al--Cu--Fe--(B) Icosahedral Poly- Quasicrystals at Elevated Temperature
[11]
LI Lian-He;FAN Tian-You. Final Governing Equation of Plane Elasticity of Icosahedral Quasicrystals and General Solution Based on Stress Potential Function
[12]
ZHANG Yong-Gang;JIANG Xun-Ya;ZHU Cheng;GU Yi;LI Ai-Zhen;QI Ming;FENG Song-Lin. Growth and Characterization of GaAs/AlGaAs Thue--Morse Quasicrystal Photonic Bandgap Structures
[13]
ZHOU Xiang;HU Cheng-Zheng;GONG Ping;ZHU Jia-Kun. Linear and Nonlinear Optical Properties of Quasicrystals
[14]
WANG Xiao-Dong;QI Min;DONG Chuang;. Bergman Clusters Related to Bulk Amorphous Alloys and Quasi-crystals
[15]
HOU Zhi-Lin;FU Xiu-Jun;LIU You-Yan. Electronic Transmission Properties of Two-Dimensional Quasi-lattice
2015, Vol. 32 
