Weak local rules for planar octagonal tilings |
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| Authors: | Nicolas Bédaride Thomas Fernique |
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| Institution: | 1.Institut de Mathématiques de Marseille,Aix-Marseille Université, Technop?le Chateau-Gombert,Marseille Cedex 13,France;2.Laboratoire d’Informatique de Paris Nord,Université Paris 13,Villetaneuse,France |
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| Abstract: | We provide an effective characterization of the planar octagonal tilings which admit weak local rules. As a corollary, we show that they are all based on quadratic irrationalities, as conjectured by Thang Le in the 1990s. |
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