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Article Dans Une Revue Israel Journal of Mathematics Année : 2017

Weak local rules for planar octagonal tilings

Résumé

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.

Dates et versions

hal-01255423 , version 1 (13-01-2016)

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Nicolas Bedaride, Thomas Fernique. Weak local rules for planar octagonal tilings. Israel Journal of Mathematics, 2017, 222 (1), pp.63 - 89. ⟨10.1007/s11856-017-1582-z⟩. ⟨hal-01255423⟩
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