Geodesic
Geometry and Design of Hexagonal Spirals (Voronoi and Other)
Journal for geometry and graphics, Tome 21 (2017) no. 2, pp. 179-192.

Voir la notice de l'article provenant de la source Heldermann Verlag

The geometry of equiangular spirals, i.e., discretized logarithmic spirals, never ceases to attract interest in the broad mathematical world where professionals and amateurs belong to. Voronoi and general hexagonal spiral systems have the unique attraction of offering opportunities for research with interesting results in geometry as well as in botany. The aim of the present work is to study the geometrical characteristics of such systems using synthetic and analytic methods.
Classification : 51M04, 51N20, 97M60
Mots-clés : Spiral system, spiral phyllotaxis, quadrangular spiral system, hexagonal spiral system, Voronoi tiling, Voronoi cell, Delaunay triangulation 
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     author = {K. Myrianthis },
     title = {Geometry and {Design} of {Hexagonal} {Spirals} {(Voronoi} and {Other)}},
     journal = {Journal for geometry and graphics},
     pages = {179--192},
     publisher = {mathdoc},
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K. Myrianthis . Geometry and Design of Hexagonal Spirals (Voronoi and Other). Journal for geometry and graphics, Tome 21 (2017) no. 2, pp. 179-192. http://geodesic.mathdoc.fr/item/JGG_2017_21_2_JGG_2017_21_2_a3/