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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 288, Pages 269–280
DOI: https://doi.org/10.1134/S0371968515010197 (Mi tm3607) 		 
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
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DOI: https://doi.org/10.1134/S0371968515010197
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
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 288, Pages 247–258
DOI: https://doi.org/10.1134/S0081543815010198
Bibliographic databases:
Document Type: Article
UDC: 514.1
Language: English
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
Citation in format AMSBIB
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\paper Inductive rotation tilings
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\bookinfo Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 288
\pages 269--280
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://doi.org/10.1134/S0371968515010197
  • https://www.mathnet.ru/eng/tm/v288/p269
    • This publication is cited in the following 1 articles:
    1. A. Garber, “On triangular paperfolding patterns”, Eur. J. Comb., 89 (2020), 103167  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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