Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

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