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Area convergence of Voronoi cells on spiral lattices

Dynamical Systems 2021-07-07 v1 Metric Geometry

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.

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Cite

@article{arxiv.2006.14723,
  title  = {Area convergence of Voronoi cells on spiral lattices},
  author = {Yoshikazu Yamagishi and Takamichi Sushida and Jean-François Sadoc},
  journal= {arXiv preprint arXiv:2006.14723},
  year   = {2021}
}

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