On the volume formula for hyperbolic tetrahedra
type: Item
instance of: scholarly article
title: On the volume formula for hyperbolic tetrahedra
zbMATH Open document ID: 0952.51013
DOI: 10.1007/PL00009465
author: Yunhi Cho
author: Hyuk Kim
published in: Discrete \& Computational Geometry
publication date: 2001-01-04T00:00:00Z
review text: In this interesting paper the authors present a formula for the volume of an arbitrary tetrahedron in a \(3\)-dimensional hyperbolic space. The formula uses the Lobachevsky function, the six dihedral angles of the tetrahedron and six further values that appear as the solution of a system of equations in terms of the dihedral angles. Several specific cases, including the Coxeter tetrahedra, are discussed in detail.
reviewed by: Hans Havlicek
Mathematics Subject Classification ID: 51M09
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 51M25
zbMATH DE Number: 1367682
zbMATH Keywords: hyperbolic space
zbMATH Keywords: tetrahedron
zbMATH Keywords: volume
MaRDI profile type: Publication
full work available at URL: pl00009465
OpenAlex ID: W1997626431
description: scientific article; zbMATH DE number 1367682