Mathematical Modelling of Natural Phenomena
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.
phyllotaxis, fibonacci, pattern formation, primordia, meristem
© EDP Sciences, 2011
Atela, Pau, "The Geometric and Dynamic Essence of Phyllotaxis" (2011). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.