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Model sets play a fundamental role in the structure analysis of quasicrystals. The diffraction diagram of a quasicrystal admits as a symmetry group a finite group G, and there is a G-cluster C (union of orbits of G) such that the quasicrystal can be regarded as a quasiperiodic packing of interpenetrating copies of C. We present an algorithm which leads from any G-cluster C directly to a multi-component...
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