Phyllotaxis: the mathematical description and modelling of leaf patterns (Q969628)
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scientific article; zbMATH DE number 5705433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Phyllotaxis: the mathematical description and modelling of leaf patterns |
scientific article; zbMATH DE number 5705433 |
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Phyllotaxis: the mathematical description and modelling of leaf patterns (English)
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7 May 2010
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The authors give an overview of the mathematical modeling of plant leaf placement. They also give a clear presentation of continued fractions and Ford circles in the hyperbolic plane, in order to apply these to clarify the meaning of a particular parametrization used in the study of phyllotaxis. The paper ends with the presentation of a possible model for explaining observations of the Fibonacci sequence in the setting of phyllotaxis.
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phyllotaxis
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Fibonacci numbers
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continued fractions
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modular group
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Ford circles
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