Crystallography of Composite Flowers: Mode Locking and Dynamical Maps

  • N. Rivier
  • A. J. Koch
  • F. Rothen
Part of the NATO ASI Series book series (NSSB, volume 263)

Abstract

Compositae (daisies, pinecones, asters, sunflowers) have a structure shown in Fig.1. Understanding this structure -one aspect of the field of phyllotaxis (leaf or floret arrangement)1–6- is a problem of crystallography: A surface is tiled with florets (the “atoms”) of roughly the same size, the majority of which are hexagonal (daisy) or rhombus-shaped (sunflower). The unusual feature as far as crystallography is concerned, is that the pattern has cylindrical symmetry. Florets sprout from the central stem (strictly, from a circle, the meristem, surrounding the geometrical center), one after the other, the younger ones pushing out their older siblings. We are dealing therefore with close-packing of deformable florets in cylindrical symmetry.

Keywords

Convection Cell Cylindrical Symmetry Regular Transition Composite Flower Lucas Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • N. Rivier
    • 1
    • 2
  • A. J. Koch
    • 1
  • F. Rothen
    • 1
  1. 1.Institut de Physique ExperimentaleUniversité de LausanneDorigny-LausanneSwitzerland
  2. 2.Blackett LaboratoryImperial CollegeLondonUK

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