Trudy Matematicheskogo Instituta imeni V.A. Steklova, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 275-283
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A. A. Ordin. Generalized Barycentric Subdivision of a Triangle. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 275-283. http://geodesic.mathdoc.fr/item/TM_2002_239_a17/
@article{TM_2002_239_a17,
author = {A. A. Ordin},
title = {Generalized {Barycentric} {Subdivision} of a {Triangle}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {275--283},
year = {2002},
volume = {239},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2002_239_a17/}
}
TY - JOUR
AU - A. A. Ordin
TI - Generalized Barycentric Subdivision of a Triangle
JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY - 2002
SP - 275
EP - 283
VL - 239
UR - http://geodesic.mathdoc.fr/item/TM_2002_239_a17/
LA - ru
ID - TM_2002_239_a17
ER -
%0 Journal Article
%A A. A. Ordin
%T Generalized Barycentric Subdivision of a Triangle
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2002
%P 275-283
%V 239
%U http://geodesic.mathdoc.fr/item/TM_2002_239_a17/
%G ru
%F TM_2002_239_a17
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.
[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
