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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2005 Volume 329, Pages 79–87 (Mi znsl297)

This article is cited in 3 papers

Parallelepipeds circumscribed about a convex body in 3-space

V. V. Makeev

Saint-Petersburg State University

Abstract: It is proved that each convex body $K\subset\mathbb R^3$ of volume $V(K)$ is contained in a parallelepiped of volume $3\sqrt2\,V(K)$.

UDC: 514.172

Received: 16.11.2005


 English version:
Journal of Mathematical Sciences (New York), 2007, 140:4, 542–547

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