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- Title
Lambert cubes and the Löbell polyhedron revisited.
- Authors
Buser, Peter; Mednykh, Alexander; Vesnin, Andrei
- Abstract
The first example of a closed orientable hyperbolic 3-manifold was constructed by F. Löbell in 1931 from eight copies of the right-angled 14-hedron. We consider the family of hyperbolic polyhedra which generalize the Lambert cube and the Löbell polyhedron. For polyhedra from this family we give trigonometric relations between essential dihedral angles and lengths and obtain volume formulae in various forms.
- Subjects
POLYHEDRA; HYPERBOLIC geometry; MANIFOLDS (Mathematics); GENERALIZATION; TRIGONOMETRIC functions; MATHEMATICAL formulas; ORBIFOLDS
- Publication
Advances in Geometry, 2012, Vol 12, Issue 3, p525
- ISSN
1615-715X
- Publication type
Article
- DOI
10.1515/advgeom-2012-0008