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research article
Lambert cubes and the Lobell polyhedron revisited
Buser, Peter
•
Mednykh, Alexander
•
Vesnin, Andrei
2012
The first example of a closed orientable hyperbolic 3-manifold was constructed by F. Lobell 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 Lobell polyhedron. For polyhedra from this family we give trigonometric relations between essential dihedral angles and lengths and obtain volume formulae in various forms.
Type
research article
Web of Science ID
WOS:000308261000010
Authors
Buser, Peter
•
Mednykh, Alexander
•
Vesnin, Andrei
Publication date
2012
Publisher
Published in
Volume
12
Issue
3
Start page
525
End page
548
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 27, 2013
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