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.
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REFERENCES
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Galiulin, R.V., Mikhalev, S.N. & Sabitov, I.K. Some Applications of the Formula for the Volume of an Octahedron. Mathematical Notes 76, 25–40 (2004). https://doi.org/10.1023/B:MATN.0000036739.35916.ae
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DOI: https://doi.org/10.1023/B:MATN.0000036739.35916.ae