关于风车镶嵌及其衍射的几点评论
Some comments on pinwheel tilings and their diffraction
摘要：
风车平铺是具有圆形对称的替代平铺的范例，在这个意义上，相应的自相关是圆形对称的。因此，它的衍射测量也是圆对称的，所以风车衍射由尖锐的环和可能的圆对称的连续分量组成。我们考虑一些组合性质的瓷砖和他们的取向，和数值方法的衍射加权风车点集。
英文摘要：
The pinwheel tiling is the paradigm for a substitution tiling with circular symmetry, in the sense that the corresponding autocorrelation is circularly symmetric. As a consequence, its diffraction measure is also circularly symmetric, so the pinwheel diffraction consists of sharp rings and, possibly, a continuous component with circular symmetry. We consider some combinatorial properties of the tiles and their orientations, and a numerical approach to the diffraction of weighted pinwheel point sets.
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