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.
Mathematics Subject Classification (2010). Primary 51F15, 53C20, 20F55, 22E40.
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Alekseevski, D.V., Michor, P.W., Neretin, Y.A. (2013). Rolling of Coxeter Polyhedra Along Mirrors. In: Kielanowski, P., Ali, S., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0645-9_6
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DOI: https://doi.org/10.1007/978-3-0348-0645-9_6
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