On the volume formula for hyperbolic tetrahedra (Q1807609): Difference between revisions
From MaRDI portal
Created a new Item |
Added link to MaRDI item. |
||
| links / mardi / name | links / mardi / name | ||
Revision as of 09:28, 1 February 2024
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the volume formula for hyperbolic tetrahedra |
scientific article |
Statements
On the volume formula for hyperbolic tetrahedra (English)
0 references
4 January 2001
0 references
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.
0 references
hyperbolic space
0 references
tetrahedron
0 references
volume
0 references
