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Corpus ID: 14323649

LAMBERT CUBE AND LÖBELL POLYHEDRON REVISITED

@inproceedings{Buser2011LAMBERTCA,
title={LAMBERT CUBE AND LÖBELL POLYHEDRON REVISITED},
author={P. Buser and A. Mednykh and A. Vesnin},
year={2011}
}

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.