Abstract
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.
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This research was partially supported by NSF.
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Solomyak, B. Nonperiodicity implies unique composition for self-similar translationally finite Tilings. Discrete Comput Geom 20, 265–279 (1998). https://doi.org/10.1007/PL00009386
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DOI: https://doi.org/10.1007/PL00009386