On geodesics of phyllotaxis
Bacher, Roland
Confluentes Mathematici, Tome 6 (2014), p. 3-27 / Harvested from Numdam
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Seeds of sunflowers are often modelled by n⟼ϕ θ (n)=ne 2iπnθ leading to a roughly uniform repartition with seeds indexed by consecutive integers at angular distance 2πθ for θ the golden ratio. We associate to such a map ϕ θ a geodesic path γ θ :ℝ >0 ⟶PSL 2 (ℤ)∖ℍ of the modular curve and use it for local descriptions of the image ϕ θ (ℕ) of the phyllotactic map ϕ θ .

Publié le : 2014-01-01
DOI : https://doi.org/10.5802/cml.10
Classification:  92B99,  11H31,  52C15 
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     title = {On geodesics of phyllotaxis},
     journal = {Confluentes Mathematici},
     volume = {6},
     year = {2014},
     pages = {3-27},
     doi = {10.5802/cml.10},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CML_2014__6_1_3_0}
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Bacher, Roland. On geodesics of phyllotaxis. Confluentes Mathematici, Tome 6 (2014) pp. 3-27. doi : 10.5802/cml.10. http://gdmltest.u-ga.fr/item/CML_2014__6_1_3_0/

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