Euclidean simplices generating discrete reflection groups

Details Euclidean simplices generating discrete reflection groups Euclidean simplices generating discrete reflection groups

2005-02-05

arxiv.org/abs/math/0502108v1

European J. Combin. 28 (2007), 1056--1067

Mathematics

Metric Geometry

20 pages; MPIM preprint

Scientific paper

10.1016/j.ejc.2006.04.004

Let $P$ be a convex polytope in the Euclidean space $\E^n$.
Consider the group $G_P$ generated by reflections in the facets of $P$. We say
that $P$ {\it generates a reflection group $G_P$}. In the present paper, we
list all Euclidean simplices generating discrete reflection groups.

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