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Voronoi Cells of Beta-Integers

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Developments in Language Theory (DLT 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3572))

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Abstract

In this paper are considered one-dimensional tilings arising from some Pisot numbers encountered in quasicrystallography as the quadratic Pisot units and the cubic Pisot unit associated with 7-fold symmetry, and also the Tribonacci number. We give characterizations of the Voronoi cells of such tilings, using word combinatorics and substitutions.

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Author information

Authors and Affiliations

  1. LPTMC, Université Paris 7, France

    Avi Elkharrat

  2. LIAFA, CNRS & Université Paris 7, and Université Paris 8, France

    Christiane Frougny

Authors
  1. Avi Elkharrat
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  2. Christiane Frougny
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Editor information

Editors and Affiliations

  1. Dipartimento di Informatica e Applicazioni, Università di Salerno, via Ponte Don Melillo, 84084, Fisciano, SA, Italy

    Clelia De Felice

  2. Dipartimento di Matematica ed Applicazioni, Università di Palermo, Via Archirafi, 34, 90123, Palermo, Italy

    Antonio Restivo

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© 2005 Springer-Verlag Berlin Heidelberg

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Elkharrat, A., Frougny, C. (2005). Voronoi Cells of Beta-Integers. In: De Felice, C., Restivo, A. (eds) Developments in Language Theory. DLT 2005. Lecture Notes in Computer Science, vol 3572. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11505877_19

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  • DOI: https://doi.org/10.1007/11505877_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26546-7

  • Online ISBN: 978-3-540-31682-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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