The study of the patterns formed by similar units in plants (e.g. leav
es, scales, florets) is traced from the first primitive observations i
n ancient times to the sophisticated studies of today. Mathematics ent
ered into the study early, at first as a way of describing the pattern
s observed, with Fibonacci numbers and the golden section playing a ma
jor role, and later in the construction of models designed to explain
their origin. Observation and experiment alternated with theory. Expla
nations offered alternated between functional and causal. Functional e
xplanations that were at first teleological gave way to those based on
the idea of natural selection. Causal explanations alternated between
the chemical and the mechanical. New light has been cast on the subje
ct with the realization that phenomena similar to phyllotaxis occur in
realms outside of botany. (C) 1997 Annals of Botany Company.