The Geometric and Dynamic Essence of Phyllotaxis

Authors

Pau Atela, Smith CollegeFollow

Document Type

Article

Publication Date

3-1-2011

Publication Title

Mathematical Modelling of Natural Phenomena

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 on small changes in the position of initial primordia. We explore the set of all initial positions and color-code its points depending on the phyllotactic type of the pattern that arises.

Keywords

phyllotaxis, fibonacci, pattern formation, primordia, meristem

Volume

6

Issue

2

First Page

173

Last Page

186

DOI

10.1051/mmnp/20116207

Rights

© EDP Sciences, 2011

Comments

AMS subject classification: 00, 51, 92C80

Recommended Citation

Atela, Pau, "The Geometric and Dynamic Essence of Phyllotaxis" (2011). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/43