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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2005, Volume 5, Issue 4, Pages 14–31
(Mi vngu217)
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Prisms in $H^3$
D. A. Derevnin
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.
Citation:
D. A. Derevnin, “Prisms in $H^3$”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 5:4 (2005), 14–31
Linking options:
https://www.mathnet.ru/eng/vngu217 https://www.mathnet.ru/eng/vngu/v5/i4/p14
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Statistics & downloads: |
Abstract page: | 136 | Full-text PDF : | 60 | References: | 31 | First page: | 1 |
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