Plants and Fibonacci

Alan Newell and Patrick Shipman

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Submission date: 29. Dec. 2004
published in: Journal of statistical physics, 121 (2005) 5/6, p. 937-968 
DOI number (of the published article): 10.1007/s10955-005-8665-7
Bibtex
MSC-Numbers: 92, 74
PACS-Numbers: 87.15.La, 62.20.Dc, 87.10.+e
Keywords and phrases: biomechanics, pattern formation

Abstract:
We compare the results of a biomechanical model for the formation of polygonal planforms and phyllotactic patterns on plants with those of a paradigm of Douady and Couder. Bias is shown to play an important role in choosing between continuous and discontinuous transitions between patterns.