English

Spiral Delone sets and three distance theorem

Dynamical Systems 2020-04-22 v2 Metric Geometry Number Theory

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.

Cite

@article{arxiv.1904.10815,
  title  = {Spiral Delone sets and three distance theorem},
  author = {Shigeki Akiyama},
  journal= {arXiv preprint arXiv:1904.10815},
  year   = {2020}
}

Comments

Minor update

R2 v1 2026-06-23T08:48:20.596Z