We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The volume of the Lambert cube in spherical space.
- Authors
Derevnin, D. A.; Mednykh, A. D.
- Abstract
The Lambert cube Q( α, β, γ) is one of the simplest polyhedra. By definition, this is a combinatorial cube with dihedral angles α, β, and γ at three noncoplanar edges and with right angles at all other edges. The volume of the Lambert cube in hyperbolic space was obtained by R. Kellerhals (1989) in terms of the Lobachevskii function Λ( x). In the present paper, we find the volume of the Lambert cube in spherical space. It is expressed in terms of the function which can be regarded as the spherical analog of the function
- Subjects
CONICAL projection (Cartography); HYPERBOLIC spaces; NON-Euclidean geometry; VOLUME (Cubic content); POLYHEDRA
- Publication
Mathematical Notes, 2009, Vol 86, Issue 1/2, p176
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434609070219