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.

翻译：我们明确而有效地建造了具有任何 n 的全新正倍旋转对称的圆柱切块和项目砖块。这个建筑基于常规正重正重圆形多电网的双重化。 关键是要证明这些多电网的规律性, 所以我们使用三角对齐公式的结果。