Fibonacci or quasi-symmetric phyllotaxis. Part I: Why?

Christophe Golé, Jacques Dumais, Stéphane Douady

Research output: Contribution to journalReview articlepeer-review

9 Scopus citations

Abstract

The study of phyllotaxis has focused on seeking explanations for the occurrence of consecutive Fibonacci numbers in the number of helices paving the stems of plants in the two opposite directions. Using the disk-accretion model, first introduced by Schwendener and justified by modern biological studies, we observe two distinct types of solutions: the classical Fibonacci-like ones, and also more irregular configurations exhibiting nearly equal number of helices in a quasi-square packing, the quasi-symmetric ones, which are a generalization of the whorled patterns. Defining new geometric tools allowing to work with irregular patterns and local transitions, we provide simple explanations for the emergence of these two states within the same elementary model. A companion paper will provide a wide array of plant data analyses that support our view.

Original languageEnglish
Article number3533
JournalActa Societatis Botanicorum Poloniae
Volume85
Issue number4
DOIs
StatePublished - 2016
Externally publishedYes

Keywords

  • Disc-stacking model
  • Fibonacci
  • Irregular pattern
  • Phyllotaxis
  • Quasi-symmetry

Fingerprint

Dive into the research topics of 'Fibonacci or quasi-symmetric phyllotaxis. Part I: Why?'. Together they form a unique fingerprint.

Cite this