Polygonal planforms and phyllotaxis on plants

P. D. Shipman, Alan C Newell

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

We demonstrate how phyllotaxis (the arrangement of leaves on plants) and the ribbed, hexagonal, or parallelogram planforms on plants can be understood as the energy-minimizing buckling pattern of a compressed sheet (the plant's tunica) on an elastic foundation. The key idea is that the elastic energy is minimized by configurations consisting of special triads of periodic deformations. We study the conditions that lead to continuous or discontinuous transitions between patterns, state testable predictions, and suggest experiments to test the theory.

Original languageEnglish (US)
Pages (from-to)154-197
Number of pages44
JournalJournal of Theoretical Biology
Volume236
Issue number2
DOIs
StatePublished - Sep 21 2005

Fingerprint

Phyllotaxis
phyllotaxy
Planforms
Buckling
Parallelogram
Elastic Foundation
Plant Leaves
Energy
Hexagon
Arrangement
Leaves
Experiments
energy
Configuration
Prediction
Demonstrate
Experiment
prediction
testing

Keywords

  • Biomechanics
  • Pattern formation
  • Phyllotaxis

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Polygonal planforms and phyllotaxis on plants. / Shipman, P. D.; Newell, Alan C.

In: Journal of Theoretical Biology, Vol. 236, No. 2, 21.09.2005, p. 154-197.

Research output: Contribution to journalArticle

Shipman, P. D. ; Newell, Alan C. / Polygonal planforms and phyllotaxis on plants. In: Journal of Theoretical Biology. 2005 ; Vol. 236, No. 2. pp. 154-197.
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