Configurations of the Penrose Tiling beyond Nearest Neighbors

doi:10.1088/0256-307X/32/5/056101

Chin. Phys. Lett.

2015, Vol. 32

Issue (5): 056101 DOI: 10.1088/0256-307X/32/5/056101

CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES

Configurations of the Penrose Tiling beyond Nearest Neighbors

PENG Ben-Yi, FU Xiu-Jun^**

Department of Physics, South China University of Technology, Guangzhou 510640

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PENG Ben-Yi, FU Xiu-Jun 2015 Chin. Phys. Lett. 32 056101

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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.

Received: 03 February 2015 Published: 01 June 2015

PACS:

61.44.Br

(Quasicrystals)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/32/5/056101 OR https://cpl.iphy.ac.cn/Y2015/V32/I5/056101

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