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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 288, Pages 7–15
DOI: https://doi.org/10.1134/S037196851501001X (Mi tm3604) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the volume of a hyperbolic octahedron with $\overline3$-symmetry

N. V. Abrosimovabc, E. S. Kudinad, A. D. Mednykhabc

a Chelyabinsk State University, Chelyabinsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
d Gorno-Altaisk State University, Gorno-Altaisk, Russia
Full-text PDF (197 kB) Citations (8)
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DOI: https://doi.org/10.1134/S037196851501001X
Abstract: We consider hyperbolic octahedra with $\overline3$-symmetry. For these octahedra, we find existence conditions, establish relations between the edge lengths and dihedral angles, and obtain exact formulas for the volumes.
Received in September 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 288, Pages 1–9
DOI: https://doi.org/10.1134/S0081543815010010
Bibliographic databases:
Document Type: Article
UDC: 514.132
Language: Russian
Citation: N. V. Abrosimov, E. S. Kudina, A. D. Mednykh, “On the volume of a hyperbolic octahedron with $\overline3$-symmetry”, Geometry, topology, and applications, Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 288, MAIK Nauka/Interperiodica, Moscow, 2015, 7–15; Proc. Steklov Inst. Math., 288 (2015), 1–9
Citation in format AMSBIB
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\by N.~V.~Abrosimov, E.~S.~Kudina, A.~D.~Mednykh
\paper On the volume of a~hyperbolic octahedron with $\overline3$-symmetry
\inbook Geometry, topology, and applications
\bookinfo Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 288
\pages 7--15
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S037196851501001X}
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\pages 1--9
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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