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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 239, Pages 275–283 (Mi tm373)  
Generalized Barycentric Subdivision of a Triangle

A. A. Ordin

Queen's University
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Abstract: 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.
Received in April 2002
Bibliographic databases:
UDC: 514.132+512.817.7
Language: Russian
Citation: A. A. Ordin, “Generalized Barycentric Subdivision of a Triangle”, Discrete geometry and geometry of numbers, Collected papers. Dedicated to the 70th birthday of professor Sergei Sergeevich Ryshkov, Trudy Mat. Inst. Steklova, 239, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 275–283; Proc. Steklov Inst. Math., 239 (2002), 260–267
Citation in format AMSBIB
\Bibitem{Ord02}
\by A.~A.~Ordin
\paper Generalized Barycentric Subdivision of a Triangle
\inbook Discrete geometry and geometry of numbers
\bookinfo Collected papers. Dedicated to the 70th birthday of professor Sergei Sergeevich Ryshkov
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 239
\pages 275--283
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm373}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1975149}
\zmath{https://zbmath.org/?q=an:1068.51014}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 239
\pages 260--267
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