A161997 Number of diagrams for dimension n in table 8.1 of the paper by Felikson & Tumarkin.

20, 6, 2, 1, 1

Offset

4,1

Comments

The table lists Coxeter diagrams for known essential hyperbolic Coxeter polytopes. The list may not be exhaustive. Some diagrams in the table actually represent different Coxeter diagrams (and, accordingly, geometrically different polytopes) by listing a few different possibilities for a label of an edge.

Links

Table of n, a(n) for n=4..8.

E. M. Andreev, On convex polyhedra in Lobachevskii spaces, Math. USSR Sb. 10 (1970), 413-440.

Anna Felikson and Pavel Tumarkin, Essential hyperbolic Coxeter polytopes, arXiv:0906.4111 [math.CO], 2009-2014.

H. Poincaré, Théorie des groupes fuchsiens, Acta Math. 1 (1882), 1-62.

Crossrefs

Sequence in context: A040387 A201137 A040385 * A274458 A351025 A327131

Adjacent sequences: A161994 A161995 A161996 * A161998 A161999 A162000

Keyword

nonn,fini,full

Author

Jonathan Vos Post, Jun 24 2009

Extensions

Edited by Ralf Stephan, Dec 23 2013

Edited by Andrey Zabolotskiy, Jun 24 2023

Status

approved