论文标题
penrose菱形瓷砖中的贴片频率
Patch frequencies in Penrose rhombic tilings
论文作者
论文摘要
该简短的说明为菱形penrose瓷砖的贴片频率进行精确计算提供了一种算法。我们回想起通过双重化的penrose块的构造，并通过扩展已知的获得顶点配置的方法，我们获得了所需的算法。然后，它用于确定文献中出现的几个特定大斑块的频率。还为Ammann-Beenker瓷砖解释了类似的方法。
This short exposition presents an algorithm for an exact calculation of patch frequencies for the rhombic Penrose tiling. We recall a construction of Penrose tilings via dualisation, and by extending the known method for obtaining vertex configurations, we obtain the desired algorithm. It is then used to determine the frequencies of several particular large patches which appear in the literature. The analogous approach is also explained for the Ammann-Beenker tiling.
