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This article is cited in 1 scientific paper (total in 1 paper)
Inductive rotation tilings
Dirk Frettlöha, Kurt Hofstetterb a Technische Fakultät, Universität Bielefeld, Bielefeld, Germany
b Object Hofstetter, Media Art Studio, Langegasse 42/3.2, A-1080 Vienna, Austria
Abstract:
A new method for constructing aperiodic tilings is presented. The method is illustrated by constructing a particular tiling and its hull. The properties of this tiling and the hull are studied. In particular, it is shown that these tilings have a substitution rule and that they are nonperiodic, aperiodic, limit-periodic and pure point diffractive.
Received in October 2014
Citation:
Dirk Frettlöh, Kurt Hofstetter, “Inductive rotation tilings”, Geometry, topology, and applications, Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 288, MAIK Nauka/Interperiodica, Moscow, 2015, 269–280; Proc. Steklov Inst. Math., 288 (2015), 247–258
Linking options:
https://www.mathnet.ru/eng/tm3607https://doi.org/10.1134/S0371968515010197 https://www.mathnet.ru/eng/tm/v288/p269
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