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

Christophe Golé, Jacques Dumais, Stéphane Douady

Producción científica: Contribución a una revistaArtículo de revisiónrevisión exhaustiva

12 Citas (Scopus)


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.

Idioma originalInglés
Número de artículo3533
PublicaciónActa Societatis Botanicorum Poloniae
EstadoPublicada - 2016
Publicado de forma externa


Profundice en los temas de investigación de 'Fibonacci or quasi-symmetric phyllotaxis. Part I: Why?'. En conjunto forman una huella única.

Citar esto