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Some applications of the formula for the volume of an octahedron

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Publication:1889686
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DOI10.1023/B:MATN.0000036739.35916.aezbMath1075.52006OpenAlexW1999133280MaRDI QIDQ1889686

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

Publication date: 7 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000036739.35916.ae

zbMATH Keywords

simplicial complexcrystallographysymmetries of polyhedracanonical polynomials for volumessymmetric octahedra


Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Three-dimensional polytopes (52B10)


Related Items

On the volume of hyperbolic octahedra with nontrivial symmetry, Volume polynomial for polyhedra of hexaedral type, A metric description of flexible octahedra, Volumes of convex polyhedra in hyperbolic spaces, Symmetries of 3-polytopes with fixed edge length, On the volume of a hyperbolic octahedron with \(\bar 3\)-symmetry, The volume of a compact hyperbolic antiprism, On the volume formula for a hyperbolic octahedron with mm2-symmetry, Volumes of polyhedra in non-Euclidean spaces of constant curvature



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