Electron microscopy images of decagonal quasicrystals obtained recently have been shown to be related to cluster coverings with a Hexagon–Bow–Tie decagon as single structural unit. Most decagonal phases show more complex structural orderings than models based on deterministic tilings like the Penrose tiling. We analyze different types of decagonal random tilings and their coverings by a Hexagon–Bow–Tie decagon.

中文翻译：

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十边形随机平铺及其准晶胞簇覆盖

最近获得的十边形准晶体的电子显微镜图像已被证明与以六边形-弓形-领结十边形作为单个结构单元的簇覆盖有关。大多数十边形相显示出比基于确定性平铺（如彭罗斯平铺）的模型更复杂的结构排序。我们通过 Hexagon-Bow-Tie decagon 分析不同类型的十边形随机瓷砖及其覆盖物。