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arXiv · 0907.3502

Rolling of Coxeter polyhedra along mirrors

Dmitri V. Alekseevsky·Peter W. Michor·Yurii A. Neretin
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Abstract

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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Dmitri V. Alekseevsky, Peter W. Michor, Yurii A. Neretin. 2009-07-20. Rolling of Coxeter polyhedra along mirrors. https://doi.org/10.1007/978-3-0348-0645-9_6

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