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This article is cited in 5 scientific papers (total in 5 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.
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
Linking options:
https://www.mathnet.ru/eng/mzm14https://doi.org/10.4213/mzm14 https://www.mathnet.ru/eng/mzm/v75/i2/p277
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Abstract page: | 372 | Full-text PDF : | 218 | References: | 44 | First page: | 1 |
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