In geometry, the Murakami–Yano formula, introduced by , is a formula for the volume of a

hyperbolic Hyperbolic may refer to: * of or pertaining to a hyperbola, a type of smooth curve lying in a plane in mathematics ** Hyperbolic geometry, a non-Euclidean geometry ** Hyperbolic functions, analogues of ordinary trigonometric functions, defined u ...

or spherical

tetrahedron In geometry, a tetrahedron (: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular Face (geometry), faces, six straight Edge (geometry), edges, and four vertex (geometry), vertices. The tet ...

given in terms of its dihedral angles.

References

* url=http://www.f.waseda.jp/murakami/papers/tetrahedronrev4.pdf Theorems in geometry {{geometry-stub