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- W2025604865 abstract "This article deals with a theorem at the basis of descriptive phyllotaxis, and with an explanatory approach in causal phyllotaxis. The theorem establishes the relation between the divergence angle and the visible opposed spiral pairs observed in structures such as proteins, meristematic apices, and the surfaces of plants. The lack of such a theorem has been an important source of errors, confusions, and obstructions in the mathematical approaches as well as in the biological interpretation of phyllotaxis. An elementary though not simple proof of it is given here together with an intuitive, less technical presentation. Many applications are mentioned. It is shown that the theorem gives a new meaning to Bolle's theory of bifurcated induction lines, which in turns throws new light on what is called the hierarchical representation of phyllotaxis. An explenatory model of phyllotaxis, in which the theorem plays an important role, is constructed in this representation. The idea of entropy, on which the model is based, is seen to constitute a most fundamental approach to phyllotactic systems." @default.
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- W2025604865 date "1986-06-01" @default.
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- W2025604865 title "A basic theorem on and a fundamental approach to pattern formation on plants" @default.
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- W2025604865 doi "https://doi.org/10.1016/0025-5564(86)90144-6" @default.
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