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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 3, Pages 582–599 (Mi smj2221)  
This article is cited in 4 scientific papers (total in 4 papers)

A volume formula for $\mathbb Z_2$-symmetric spherical tetrahedra

A. A. Kolpakovab, A. D. Mednykhab, M. G. Pashkevichc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
c Novosibirsk State University for Economics and Management, Novosibirsk
Full-text PDF (362 kB) Citations (4)
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Abstract: We obtain formulas for the volume of a spherical tetrahedron with $\mathbb Z_2$-symmetry realized as rotation about the axis passing through the midpoints of a pair of skew edges. We show the dependence of the volume formula on the edge lengths and dihedral angles of the tetrahedron. Several different formulas result whose scopes are determined by the geometric characteristics of the tetrahedron.
Keywords: tetrahedron, spherical space, volume, Gram matrix.
Received: 24.06.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 3, Pages 456–470
DOI: https://doi.org/10.1134/S0037446611030086
Bibliographic databases:
Document Type: Article
UDC: 514.13+514.135
Language: Russian
Citation: A. A. Kolpakov, A. D. Mednykh, M. G. Pashkevich, “A volume formula for $\mathbb Z_2$-symmetric spherical tetrahedra”, Sibirsk. Mat. Zh., 52:3 (2011), 582–599; Siberian Math. J., 52:3 (2011), 456–470
Citation in format AMSBIB
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\paper A volume formula for $\mathbb Z_2$-symmetric spherical tetrahedra
\jour Sibirsk. Mat. Zh.
\yr 2011
\vol 52
\issue 3
\pages 582--599
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\transl
\jour Siberian Math. J.
\yr 2011
\vol 52
\issue 3
\pages 456--470
\crossref{https://doi.org/10.1134/S0037446611030086}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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