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2016 | 85 | 4 |
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
EN
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-
Rocznik
Tom
85
Numer
4
Opis fizyczny
Article 3533 [34p.], fig.,ref.
Twórcy
autor
  • Department of Mathematics, Smith College, Northampton, MA 01063, USA
autor
  • Faculty of Engineering and Sciences, Universidad Adolfo Ibanez, Vina del Mar, Chile
autor
  • UMR 7057 Universite Paris Diderot - CNRS, Batiment Condorcet, CC 7057, 10 rue Alice Domon et Leonie Duquet, 75013 Paris, France
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Typ dokumentu
Bibliografia
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