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Slopes of Tilings (1012.1330v1)
Published 3 Dec 2010 in cs.DM, cs.CC, and cs.FL
Abstract: We study here slopes of periodicity of tilings. A tiling is of slope if it is periodic along direction but has no other direction of periodicity. We characterize in this paper the set of slopes we can achieve with tilings, and prove they coincide with recursively enumerable sets of rationals.