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This article is cited in 3 scientific papers (total in 3 papers)
Lambert Cubes Generating Discrete Reflection Groups
A. A. Felikson
Independent University of Moscow
Abstract:
A Lambert cube $Q(\alpha,\beta, \gamma)$ is a combinatorial cube with dihedral angles $\alpha$, $\beta$, and $\gamma$ assigned to the three mutually noncomplanar edges and right angles at the remaining edges. In this paper, we classify the Lambert cubes in $S^3$, $\mathbb{E}^3$ and $\mathbb{H}^3$ such that the group $G_Q$ generated by the reflections with respect to the faces of a cube $Q$ is discrete.
DOI:
https://doi.org/10.4213/mzm14
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English version:
Mathematical Notes, 2004, 75:2, 250–258
Bibliographic databases:
   
UDC:
512.817.72+514.174.5
Received: 21.06.2002
Revised: 03.12.2002
Citation:
A. A. Felikson, “Lambert Cubes Generating Discrete Reflection Groups”, Mat. Zametki, 75:2 (2004), 277–286; Math. Notes, 75:2 (2004), 250–258
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz14https://doi.org/10.4213/mzm14 http://mi.mathnet.ru/eng/mz/v75/i2/p277
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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A. A. Felikson, “Spherical simplices generating discrete reflection groups”, Sb. Math., 195:4 (2004), 585–598
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Felikson, A, “Euclidean simplices generating discrete reflection groups”, European Journal of Combinatorics, 28:4 (2007), 1056
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D. A. Derevnin, A. D. Mednykh, “The Volume of the Lambert Cube in Spherical Space”, Math. Notes, 86:2 (2009), 176–186
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