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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2004 Volume 76, Issue 1, Pages 27–43 (Mi mzm88)
This article is cited in 21 papers

Some Applications of the Formula for the Volume of an Octahedron

R. V. Galiulin, S. N. Mikhalev, I. Kh. Sabitov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We introduce the notions of combinatorial, metric and spatial symmetries of a polyhedron. In the case of symmetric octahedra, we present explicit forms of canonical polynomials for determining their volumes.

UDC: 514.113.5

Received: 20.02.2001
Revised: 22.07.2002

DOI: 10.4213/mzm88


 English version: Mathematical Notes, 2004, 76:1, 25–40

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© Steklov Math. Inst. of RAS, 2024