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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 476, Pages 125–130 (Mi znsl6728)  
Equipartitioning of a convex body by a system of cones and inscribed polytopes

V. V. Makeev, N. Yu. Netsvetaev

Saint Petersburg State University, Saint Petersburg, Russia
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Abstract: Two new theorems are proved about equipartitionings of a convex body by a system of cones with common vertex. Limit cases of these theorems yield some previously known theorems about polytopes inscribed in a convex body.
Key words and phrases: convex body, equipartitioning, inscribed polytopes.
Received: 18.06.2018
Document Type: Article
UDC: 514.172
Language: Russian
Citation: V. V. Makeev, N. Yu. Netsvetaev, “Equipartitioning of a convex body by a system of cones and inscribed polytopes”, Geometry and topology. Part 13, Zap. Nauchn. Sem. POMI, 476, POMI, St. Petersburg, 2018, 125–130
Citation in format AMSBIB
\Bibitem{MakNet18}
\by V.~V.~Makeev, N.~Yu.~Netsvetaev
\paper Equipartitioning of a convex body by a system of cones and inscribed polytopes
\inbook Geometry and topology. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 476
\pages 125--130
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6728}
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