Rolling of Coxeter polyhedra along mirrors

Details Rolling of Coxeter polyhedra along mirrors Rolling of Coxeter polyhedra along mirrors

2009-07-20

arxiv.org/abs/0907.3502v1

Mathematics

Metric Geometry

20pages, 15 figures

Scientific paper

The topic of the paper are developments of $n$-dimensional Coxeter polyhedra.
We show that the surface of such polyhedron admits a canonical cutting such
that each piece can be covered by a Coxeter $(n-1)$-dimensional domain.

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