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Fibonacci numbers in phyllotaxis : a simple model

2012/03/28 by G. Zalczer, Zalczer, Gilbert
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · #FOS: Biological sciences #FOS: Physical sciences #Plant Molecular Biology Research #Plant Physiology and Cultivation Studies #Plant Reproductive Biology #Soft Condensed Matter (cond-mat.soft) #Tissues and Organs (q-bio.TO)

paper · pdf · doi:10.48550/arxiv.1203.6257

openalex publication_date 2012/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple model is presented which explains the occurrence of high order Fibonacci number parastichies in asteracae flowers by two distinct steps. First low order parastichies result from the fact that a new floret, at its appearance is repelled by two former ones, then, in order to accommodate for the increase of the radius, parastichies numbers have to evolve and can do it only by applying the Fibonacci recurrence formula.

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