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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 329, Pages 79–87 (Mi znsl297)  
This article is cited in 3 scientific papers (total in 3 papers)

Parallelepipeds circumscribed about a convex body in 3-space

V. V. Makeev

Saint-Petersburg State University
Full-text PDF (199 kB) Citations (3)
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Abstract: It is proved that each convex body $K\subset\mathbb R^3$ of volume $V(K)$ is contained in a parallelepiped of volume $3\sqrt2\,V(K)$.
Received: 16.11.2005
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 4, Pages 542–547
DOI: https://doi.org/10.1007/s10958-007-0435-4
Bibliographic databases:
UDC: 514.172
Language: Russian
Citation: V. V. Makeev, “Parallelepipeds circumscribed about a convex body in 3-space”, Geometry and topology. Part 9, Zap. Nauchn. Sem. POMI, 329, POMI, St. Petersburg, 2005, 79–87; J. Math. Sci. (N. Y.), 140:4 (2007), 542–547
Citation in format AMSBIB
\Bibitem{Mak05}
\by V.~V.~Makeev
\paper Parallelepipeds circumscribed about a~convex body in 3-space
\inbook Geometry and topology. Part~9
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 329
\pages 79--87
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl297}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2215333}
\zmath{https://zbmath.org/?q=an:1151.52303}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 140
\issue 4
\pages 542--547
\crossref{https://doi.org/10.1007/s10958-007-0435-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845762384}
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  • https://www.mathnet.ru/eng/znsl/v329/p79
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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