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math.DS2020★ 1 cited
Spiral Delone sets in relative metric
Yoshikazu Yamagishi
A general Archimedean spiral lattice is a Delone set in the relative distance if and only if its rotation angle is badly approximable.
math.DS2020★ 8 cited
Area convergence of Voronoi cells on spiral lattices
Yoshikazu Yamagishi, Takamichi Sushida, Jean-François Sadoc
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.