The computation of overlap coincidence in Taylor-Socolar substitution tiling
The computation of overlap coincidence in Taylor-Socolar substitution tiling
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Taylor-Socolar替换平铺中重叠重合的计算
DOI：
10.18910/50802
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Jeong
中科院分区：
文献类型：
--
作者：
S. Akiyama;Jeong
最近，Taylor和Socolar介绍了一种非周期性的单瓦。关联的平铺可以被视为替换平铺。我们使用的替代规则，这种平铺和应用\cite{AL}的算法来检查重叠重合。事实证明，平铺具有重叠重合性。因此，镶嵌动力学具有纯点谱，我们可以得出结论，这种镶嵌具有准晶结构。
Recently Taylor and Socolar introduced an aperiodic mono-tile. The associated tiling can be viewed as a substitution tiling. We use the substitution rule for this tiling and apply the algorithm of \cite{AL} to check overlap coincidence. It turns out that the tiling has overlap coincidence. So the tiling dynamics has pure point spectrum and we can conclude that this tiling has a quasicrystalline structure.