Golden ratio and phyllotaxis, a clear mathematical link

DOI10.1007/s00285-018-1265-3zbMath1414.51014arXiv1704.02880OpenAlexW2883117338WikidataQ90434580 ScholiaQ90434580MaRDI QIDQ1738005

Christophe Reutenauer, François Bergeron

Publication date: 29 March 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02880

zbMATH Keywords

modular groupphyllotaxisgolden ratioMarkov approximation theory

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Geometric constructions in real or complex geometry (51M15)

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Cites Work

• Systematic variations in divergence angle
• Ideal phyllotaxis on general surfaces of revolution
• A dynamical system for plant pattern formation: A rigorous analysis
• On geodesics of phyllotaxis
• The role of intermediate convergents in Tait's explanation for phyllotaxis
• Markov's Theorem and 100 Years of the Uniqueness Conjecture
• From Christoffel Words to Markoff Numbers
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