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The Geometric and Dynamic Essence ofPhyllotaxis

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

Abstract

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

Keywords

phyllotaxisfibonaccipattern formationprimordiameristem

Information

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

References

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