Geodesic
Generalized Barycentric Subdivision of a Triangle
Informatics and Automation, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 275-283.

Voir la notice de l'article provenant de la source Math-Net.Ru

A theorem naturally extending the theorem of Barany, Beardon, and Carne about the density of the classes of similar triangles obtained from a given triangle by applying an infinite series of barycentric subdivisions is proved. 
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A. A. Ordin. Generalized Barycentric Subdivision of a Triangle. Informatics and Automation, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 275-283. http://geodesic.mathdoc.fr/item/TRSPY_2002_239_a17/

[1] Barany I., Beardon A. F., Carne T. K., “Barycentric subdivision of triangles and semigroups of Möbius maps”, Mathematika, 43 (1996), 165–171 | DOI | MR | Zbl

[2] Berdon A., Geometriya diskretnykh grupp, Nauka, M., 1986 | MR