Spiral disk packings

DOI10.1016/J.PHYSD.2016.12.003zbMath1378.52022OpenAlexW2567543135MaRDI QIDQ1691143

Yoshikazu Yamagishi, Takamichi Sushida

Publication date: 15 January 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2016.12.003

zbMATH Keywords

continued fractionVoronoi tilingdisk packingspiral phyllotaxis

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Developmental biology, pattern formation (92C15) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (3)

Archimedean Voronoi spiral tilings ⋮ Area convergence of Voronoi cells on spiral lattices ⋮ Voronoi tiling and circle packing on spiral lattices with rotational symmetry

Cites Work

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• Phyllotaxis: the mathematical description and modelling of leaf patterns
• Ideal phyllotaxis on general surfaces of revolution
• Another look at parastichies
• A dynamical system for plant pattern formation: A rigorous analysis
• Phyllotaxis: some progress, but a story far from over
• Phyllotaxis on surfaces of constant Gaussian curvature
• Phyllotaxis of flux lattices in layered superconductors
• Voronoi spiral tilings

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