Voronoi tiling and circle packing on spiral lattices with rotational symmetry

DOI10.1007/s13160-022-00552-9OpenAlexW4307820096MaRDI QIDQ2111581

Takamichi Sushida, Takuro Uezono, Yoshikazu Yamagishi

Publication date: 17 January 2023

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-022-00552-9

zbMATH Keywords

circle packingVoronoi cellphyllotaxisbadly approximable numberspiral lattice

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Continued fractions (11A55) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Combinatorial aspects of packing and covering (05B40) Dynamical systems involving maps of trees and graphs (37E25) Distribution modulo one (11J71) Approximation to algebraic numbers (11J68)

Cites Work

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• Phyllotaxis: the mathematical description and modelling of leaf patterns
• Spiral disk packings
• Convergence in a disk stacking model on the cylinder
• Phyllotaxis: some progress, but a story far from over
• Phyllotaxis on surfaces of constant Gaussian curvature
• Phyllotaxis
• Archimedean Voronoi spiral tilings
• The p-Relative Distance is a Metric
• Area convergence of Voronoi cells on spiral lattices
• Phyllotactic Patterns
• Voronoi spiral tilings

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