4.5 Article

Spiral Delone sets and three distance theorem

Journal

NONLINEARITY
Volume 33, Issue 5, Pages 2533-2540

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1361-6544/ab74ad

Keywords

Delone set; irrational rotation; badly approximable number; three distance theorem

Funding

  1. JSPS [17K05159, 17H02849, BBD30028]
  2. Grants-in-Aid for Scientific Research [17H02849, 17K05159] Funding Source: KAKEN

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

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