用局域规则生长完美十次对称准晶
Growing Perfect Decagonal Quasicrystals by Local Rules
摘要：
提出了一种十次准晶的局部生长算法。我们表明，一个完美的彭罗斯平铺（PPT）层可以生长在一个十足的平铺层的三维（3D）的本地规则的增长。一旦PPT层开始在上层上形成，则可以在顶部上添加连续的2D PPT层，从而导致仅在底部表面层上具有点缺陷的完整的十次准晶结构。我们的生长规则表明，一个理想的准晶结构可以构建一个局部生长算法在3D中，相反的非局部信息的必要性，为2D PPT生长。
英文摘要：
A local growth algorithm for a decagonal quasicrystal is presented. We show that a perfect Penrose tiling (PPT) layer can be grown on a decapod tiling layer by a three dimensional (3D) local rule growth. Once a PPT layer begins to form on the upper layer, successive 2D PPT layers can be added on top resulting in a perfect decagonal quasicrystalline structure in bulk with a point defect only on the bottom surface layer. Our growth rule shows that an ideal quasicrystal structure can be constructed by a local growth algorithm in 3D, contrary to the necessity of non-local information for a 2D PPT growth.
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