Relationship between Penrose vertices and decagonal covering configurations

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• 作者：Fu ; Xiujun ; Hou ; Zhilin ; Liu ; Youyan
• 关键词：61.44.Br ; 05.50.+q ; 61.43.Bn ; A. Quasicrystals ; C. Cluster covering ; C. Penrose tiling
• 刊名：Solid State Communications
• 出版年：2003
• 期刊代码：101_00381098
• 类别：ms
• 出版时间：October, 2003
• 卷：128
• 期：2-3
• 页码：75-78
• 文件大小：286 K

摘要

Two-dimensional quasicrystals are generally described by the Penrose tiling model. An alternative is the cluster covering approach developed recently. There exists a correspondence between the two schemes. The distributions of rhombus vertices in Penrose tilings and the nearest neighbor configurations in the decagonal covering structures are studied. Their occurrence probabilities are expressed in terms of the powers of the golden mean τ and their relationship is obtained.