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
Recommended Citation
Atela, Pau, "The Geometric and Dynamic Essence of Phyllotaxis" (2011). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/43
Comments
AMS subject classification: 00, 51, 92C80