On substitution tilings of the plane with n-fold rotational symmetry
On substitution tilings of the plane with n-fold rotational symmetry
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关于n重旋转对称平面的替换平铺
DOI：
10.46298/dmtcs.2108
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Gregory R. Maloney
中科院分区：
文献类型：
--
作者：
Gregory R. Maloney
描述了一种在计算机辅助下构造具有n重旋转对称性的平面置换镶嵌的方法。这种方法使用的原型的一组菱形的角度是整数倍的π/n，并包括各种特殊情况下，已经被建造的手为低的n值。通过这种方法构造的一个例子，n = 11的展示，这是第一个替代平铺与11重对称性出现在文献中。
A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs with angles that are integer multiples of pi/n, and includes various special cases that have already been constructed by hand for low values of n. An example constructed by this method for n = 11 is exhibited; this is the first substitution tiling with 11-fold symmetry appearing in the literature.