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Inductive Rotation Tilings

2014/10/02 by Dirk Frettlöh, Frettlöh, Dirk, Kurt Hofstetter +1
Computer Science · Engineering · Materials Science · #52C20 #52C22 #Advanced Materials and Mechanics #Cellular Automata and Applications #FOS: Mathematics #Metric Geometry (math.MG) #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.1410.0592

openalex publication_date 2014/10/02 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

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, that they are nonperiodic, aperiodic, limitperiodic and pure point diffractive.

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