Abstract
This paper presents some of the consequences of the introduction of a concept of information and of a principle of optimal design in a representation of phyllotaxis by means of hierarchies. Our approach, which we call phylogenetic, has experimental supports and is based on the concept of an algorithm: growth matrices generate rhythms and vortices of growth among which is the hierarchy of Fibonacci representing the phyllotaxis of Fibonacci. It gives a necessary and sufficient condition which produces this type of phyllotaxis, and in the light of the propositions obtained, it can explain why Fibonacci's phyllotaxis is the most omnipresent in Nature.
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