手性五边形星与六边形准周期铺砌的膨胀规则
Inflation rules for a chiral pentagonal quasiperiodic tiling of stars and hexes
AI总结：
针对十方准晶体相关HBS五边形铺砌，提出一种不含船形瓦片的手性膨胀规则，以实现最高顶点堆积密度，并探讨其与真实晶体近似相结构的关联。
摘要：
六边形-船形-星形（HBS）五边形铺砌常出现在十方准晶体及其周期近似相的描述中。尽管与彭罗斯铺砌相关，但HBS铺砌的顶点堆积密度显著更高，该密度取决于H、B和S三种瓦片的相对出现频率。由于船形瓦片（又称“常春藤叶”）的堆积密度最低，减少其在铺砌中的数量可提高整体堆积密度。本文提出了一种手性铺砌的膨胀规则，该铺砌原则上不含船形瓦片，因此在所有HBS铺砌中具有最高可能的密度。文中还讨论了该铺砌与十方准晶体晶体近似相真实结构之间的关系。
英文摘要：
Hexagon-boat-star (HBS) pentagonal tilings often appear in the description of decagonal quasicrystals and their periodic approximants. Being related to the Penrose tiling, they differ from the latter by a significantly higher packing density of vertices, which, in turn, depends on the relative frequency of appearance of the H, B and S tiles. Since boats (also known as "ivy leaves") have the lowest packing density, reducing their number in the tiling leads to an increase in its packing density. The paper proposes an inflation rule for a chiral tiling, which in principle contains no boats and therefore has the highest possible density among HBS tilings. The relationship between the tiling and the real structures of crystal approximants of decagonal quasicrystals is discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
