论文标题

具有全局n折对称性的切割和项目的菱形块砖的有效结构

An effective construction for cut-and-project rhombus tilings with global n-fold rotational symmetry

论文作者

Lutfalla, Victor H.

论文摘要

我们为任何n的全局n折旋转对称性提供了明确有效的构造,用于菱形切割和项目的瓷砖。该结构基于常规N倍多移民的双重化。要点是证明这些多族的规律性,为此,我们使用三角解释方程的结果。

We give an explicit and effective construction for rhombus cut-and-project tilings with global n-fold rotational symmetry for any n. This construction is based on the dualization of regular n-fold multigrids. The main point is to prove the regularity of these multigrids, for this we use a result on trigonometric diophantine equations.

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