Area convergence of Voronoi cells on spiral lattices

DOI10.1088/1361-6544/abe733zbMath1471.52006arXiv2006.14723OpenAlexW3161053694MaRDI QIDQ4990894

Yoshikazu Yamagishi, Takamichi Sushida, Jean-François Sadoc

Publication date: 1 June 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14723

zbMATH Keywords

Voronoi cellphyllotaxisDelone setsArchimedean spiral lattice

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Approximation by convex sets (52A27) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (3)

Visibility properties of spiral sets ⋮ Sunflower hard disk graphs ⋮ Voronoi tiling and circle packing on spiral lattices with rotational symmetry

Cites Work

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• Spiral Delone sets and three distance theorem
• Delone Sets Generated by Square Roots
• Phyllotactic Patterns
• Voronoi spiral tilings
• The scenery flow for geometric structures on the torus: The linear setting

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