Nonperiodicity implies unique composition for self-similar translationally finite Tilings
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- Solomyak, B. Discrete Comput Geom (1998) 20: 265. doi:10.1007/PL00009386
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Let T be a translationally finite self-similar tiling of Rd. We prove that if T is nonperiodic, then it has the unique composition property. More generally, T has the unique composition property modulo the group of its translation symmetries.