Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2005, Volume 5, Issue 4, Pages 14–31 (Mi vngu217)  

Prisms in $H^3$

D. A. Derevnin
References:
Abstract: Main result of this work is a formula for calculation of volume of compact quadrangular prism of special type. We prove that any acute prism in $H^3$ can be divided into finite number of given type. So, it gives an algorithm to find volume of arbitrary $n$-angled prism in $H^3$ with dihedral angles less than $\pi/2$. Also, we state the full classification of quadrangular Coxeter prisms in $H^3$. In addendum, there are all 30 Coxeter schemes, corresponding to quadrangular prisms and their hyperbolic volumes.
Document Type: Article
UDC: 514.13+514.132
Language: Russian
Citation: D. A. Derevnin, “Prisms in $H^3$”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 5:4 (2005), 14–31
Citation in format AMSBIB
\Bibitem{Der05}
\by D.~A.~Derevnin
\paper Prisms in $H^3$
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2005
\vol 5
\issue 4
\pages 14--31
\mathnet{http://mi.mathnet.ru/vngu217}
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  • https://www.mathnet.ru/eng/vngu/v5/i4/p14
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    Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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    Abstract page:136
    Full-text PDF :60
    References:31
    First page:1
     
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