Geodesic
Golden Hexagons
Journal for geometry and graphics, Tome 6 (2002) no. 2, pp. 167-182 
G. Weiss. Golden Hexagons. Journal for geometry and graphics, Tome 6 (2002) no. 2, pp. 167-182. http://geodesic.mathdoc.fr/item/JGG_2002_6_2_a5/
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     author = {G. Weiss},
     title = {Golden {Hexagons}},
     journal = {Journal for geometry and graphics},
     pages = {167--182},
     year = {2002},
     volume = {6},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2002_6_2_a5/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

A "golden hexagon" is a set of six points, which is projectively equivalent to the vertices of a regular pentagon together with its center. Such a geometric figure generalizes in some sense the classical one-dimensional golden section to two dimensions. This paper deals with some remarkable properties of golden hexagons and with special Euclidean representatives as well as with further generalizations. Keywords: golden section, golden ratio, golden cross ratio, geometrically defined iterative processes, Desargues' Theorem, polarity with respect to a conic, Moebius circle geometry, bio-geometry, regular polyhedra. Classification: 51M04; 51M05, 51M20.