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The Geometric and Dynamic Essence of Phyllotaxis

Published online by Cambridge University Press:  01 March 2011

P. Atela
P. Atela*
Affiliation:
Department of Mathematics, Smith College, Northampton, MA 01063, USA
*
⋆ E-mail: patela@smith.edu
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Abstract

We present a dynamic geometric model of phyllotaxis based on two postulates, primordia formation and meristem expansion. We find that Fibonacci, Lucas, bijugate and multijugate are all variations of the same unifying phenomenon and that the difference lies in the changes in position of initial primordia. We explore the set of all initial positions and color-code its points depending on the phyllotactic pattern that arises.

Keywords

phyllotaxisfibonaccipattern formationprimordiameristem
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 2: Modelling of plant growth , 2011 , pp. 173 - 186
Copyright
© EDP Sciences, 2011

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References

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