Rolling of Coxeter polyhedra along mirrors. (English) Zbl 1318.52011
Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, 67-86 (2013).
Summary: 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.
For the entire collection see [Zbl 1271.00030].
For the entire collection see [Zbl 1271.00030].
MSC:
| 52B11 | \(n\)-dimensional polytopes |
| 53C20 | Global Riemannian geometry, including pinching |
| 20F55 | Reflection and Coxeter groups (group-theoretic aspects) |
| 22E40 | Discrete subgroups of Lie groups |
