Fibonacci or quasi-symmetric phyllotaxis. Part II: botanical observations

• Autorzy: Douady S. , Gole C.
• Języki publikacji: EN

Abstrakty

EN

Historically, the study of phyllotaxis was greatly helped by the simple description of botanical patterns by only two integer numbers, namely the number of helices (parastichies) in each direction tiling the plant stem. The use of parastichy numbers reduced the complexity of the study and created a proliferation of generalizations, among others the simple geometric model of lattices. Unfortunately, these simple descriptive method runs into difficulties when dealing with patterns presenting transitions or irregularities. Here, we propose several ways of addressing the imperfections of botanical reality. Using ontogenetic analysis, which follows the step-by-step genesis of the pattern, and crystallographic analysis, which reveal irregularity in its details, we show how to derive more information from a real botanical sample, in particular, about its irregularities and transitions. We present several examples, from the first explicit visualization of a normal Fibonacci parastichy number increase, to more exotic ones, including the quasi-symmetric patterns detected in simulations. We compare these observations qualitatively with the result of the disk-packing model, presenting evidence for the relevance of the model.

• Wydawca: -
• Czasopismo: Acta Societatis Botanicorum Poloniae
• Rocznik: 2016
• Tom: 85
• Numer: 4
• Opis fizyczny: Article 3534 [21p.], fig.,ref.

Twórcy

autor

Douady S.

• UMR 7057 Universite Paris Diderot - CNRS, Batiment Condorcet, CC 7057, 10 rue Alice Domon et Leonie Duquet, 75013 Paris, France

autor

Gole C.

• Department of Mathematics, Smith College, Northampton, MA 01063, USA

Bibliografia

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Identyfikatory

DOI

10.5586/asbp.3534