On the volume formula for hyperbolic tetrahedra (Q1807609)
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scientific article; zbMATH DE number 1367682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the volume formula for hyperbolic tetrahedra |
scientific article; zbMATH DE number 1367682 |
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On the volume formula for hyperbolic tetrahedra (English)
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4 January 2001
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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.
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hyperbolic space
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tetrahedron
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volume
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