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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
98/2004

Plants and Fibonacci

Alan Newell and Patrick Shipman

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.

Received:
Dec 29, 2004
Published:
Dec 29, 2004
MSC Codes:
92, 74
PACS:
87.15.La, 62.20.Dc, 87.10.+e
Keywords:
biomechanics, pattern formation

Related publications

inJournal
2005 Repository Open Access
Alan C. Newell and Patrick Shipman

Plants and Fibonacci

In: Journal of statistical physics, 121 (2005) 5/6, pp. 937-968