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Journées Automates Cellulaires 2010, Turku : Finland (2010)
Slopes of Tilings
Emmanuel Jeandel 1, Pascal Vanier 1
(2010-12-15)

We study here slopes of periodicity of tilings. A tiling is of slope θ if it is periodic along direction θ 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.
1:  Laboratoire d'informatique Fondamentale de Marseille (LIF)
CNRS : UMR6166 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I
Computer Science/Other
tilings – formal languages – foundations of computing
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