%0 Journal Article %T Rolling of Coxeter polyhedra along mirrors %A Dmitri V. Alekseevsky %A Peter W. Michor %A Yurii A. Neretin %J Mathematics %D 2009 %I arXiv %R 10.1007/978-3-0348-0645-9_6 %X 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. %U http://arxiv.org/abs/0907.3502v1