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math.DSApr 30, 2019
8
citations (OpenAlex)
authors
  • Shigeki Akiyama
institutions
  • University of Tsukuba
arXiv abstractPDF
paper

Spiral Delone sets and three distance theorem

arXiv:1904.10815 · doi:10.1088/1361-6544/ab74ad

Abstract

We show that a constant angle progression on the Fermat spiral forms a Delone set if and only if its angle is badly approximable.

Minor update

Cited by in corpus (3)

  • Area convergence of Voronoi cells on spiral lattices
  • Visibility Properties of Spiral Sets
  • Chabauty Limits of Fermat Spirals
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