具有奇异衍射的SCD图案
SCD Patterns Have Singular Diffraction
摘要：
在迄今为止已知的许多非周期镶嵌族中，SCD镶嵌仍然有点神秘。在这里，我们确定的衍射光谱的点集来自SCD平铺，并表明，他们没有绝对连续的部分，他们有一个均匀离散的纯点的一部分，在z轴上，否则，他们支持一组同心圆柱表面围绕这个轴。对于具有附加属性的SCD平铺，给出了更详细的结果。
英文摘要：
Among the many families of nonperiodic tilings known so far, SCD tilings are still a bit mysterious. Here, we determine the diffraction spectra of point sets derived from SCD tilings and show that they have no absolutely continuous part, that they have a uniformly discrete pure point part on the z-axis, and that they are otherwise supported on a set of concentric cylinder surfaces around this axis. For SCD tilings with additional properties, more detailed results are given.
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