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VOLUME 54 (1991) | ISSUE 9 | PAGE 542
Fibonacci numbers in botany and physics: Phyllotaxis
Regular lattices of repulsive objects on a cylinder are analyzed. An anisotropic deformation of these lattices is considered. It turns out that this process generates Fibonacci lattices, exclusively and in a deterministic way. This result may explain the widespread occurrence of Fibonacci numbers in living organisms, if it is assumed that a deformation arises during the growth of an embryo.