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math.DSJun 25, 2020
8
citations (OpenAlex)
authors
  • Yoshikazu Yamagishi
  • Takamichi Sushida
  • Jean-François Sadoc
institutions
  • Centre National de la Recherche Scientifique
  • Laboratoire de physique des Solides
  • Ryukoku University
  • Salesian Polytechnic
  • Université Paris-Saclay
arXiv abstractPDF
paper

Area convergence of Voronoi cells on spiral lattices

arXiv:2006.14723 · doi:10.1088/1361-6544/abe733

Abstract

It is shown that the area of Voronoi cells for a generalized Archimedean spiral lattice converges under some scale normalization, if the angle parameter is badly approximable.

11 figures

References in corpus (1)

  • Spiral Delone sets and three distance theorem

Cited by in corpus (2)

  • Visibility Properties of Spiral Sets
  • Chabauty Limits of Fermat Spirals
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