| Issue |
Math. Model. Nat. Phenom.
Volume 6, Number 2, 2011
Modelling of plant growth
|
|
|---|---|---|
| Page(s) | 173 - 186 | |
| DOI | https://doi.org/10.1051/mmnp/20116207 | |
| Published online | 01 March 2011 | |
The Geometric and Dynamic Essence of Phyllotaxis
Department of Mathematics, Smith College, Northampton, MA
01063,
USA
⋆
E-mail: patela@smith.edu
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.
Mathematics Subject Classification: 00 / 51 / 92C80
Key words: phyllotaxis / fibonacci / pattern formation / primordia / meristem
© EDP Sciences, 2011
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