Ideal phyllotaxis on general surfaces of revolution

DOI10.1016/0025-5564(86)90013-1zbMath0601.92002OpenAlexW2027588661MaRDI QIDQ1081543

J. N. Ridley

Publication date: 1986

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(86)90013-1

zbMATH Keywords

latticepattern formationsurfaces of revolutionFibonacci numbersphyllotaxispacking efficiency

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumerative combinatorics (05A99) General biology and biomathematics (92B05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Geometry of numbers (11H99) Other natural sciences (mathematical treatment) (92F05)

Related Items (9)

Discrete Lattices on the Single Bearing Spiral: From Geometry to Botany ⋮ Measurement of areas on a sphere using Fibonacci and latitude-longitude lattices ⋮ Visibility in a pure model of Golden spiral phyllotaxis ⋮ Spiral disk packings ⋮ The D-RBF-PU method for solving surface PDEs ⋮ Contact pressure models for spiral phyllotaxis and their computer simulation ⋮ Golden ratio and phyllotaxis, a clear mathematical link ⋮ Phyllotaxis: the mathematical description and modelling of leaf patterns ⋮ Order-preserving derivative approximation with periodic radial basis functions

Cites Work

• Packing efficiency in sunflower heads
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