A Single Cluster Covering for Dodecagonal Quasiperiodic Ship Tiling
LIAO Long-Guang** , ZHANG Wen-Bin, YU Tong-Xu, CAO Ze-Xian
Institute of Physics, Chinese Academy of Sciences, Beijing 100190
Abstract ：The single cluster covering approach provides a plausible mechanism for the formation and stability of octagonal and decagonal quasiperiodic structures. For dodecagonal quasiperiodic patterns, such a single cluster covering scheme is still unavailable. We demonstrate that ship tiling, one of the dodecagonal quasiperiodic structures, can be completely covered by a single cluster. A deflation procedure is devised by assigning proper orientations to different tiles, and nine types of vertex configurations, if the mirror patterns are considered to be identical, have been identified, which fulfill the closure condition under deflation and all result in a T-cluster centered at the vertex.
收稿日期: 2012-10-16
出版日期: 2013-03-02
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2013, Vol. 30 
