Abstract

This paper deals with the problem of phyllotaxis. It is well known that each type of phyllotactic arrangement of the primordia of plants leads to a recurring series of positive integers 〈 H( k)〉, where H( k) = H( k−1)+ H( k−2), closely related to a precise divergence angle between the primordia. We already introduced, in former articles, a mechanism using a concept of information, a bi-dimensional architectural concept of hierarchy, a principle of optimal design and specific languages to cope with the problem, and we drew preliminary conclusions. This setting is enhanced here as it is shown to give the different types of phyllotaxis, to explain their relative occurrences in Nature and to suggest verifiable predictions.

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