Fórmulas trigonométricas para poliedros esféricos e hiperbólicos
The Gram matrix of a spherical or hyperbolic polyhedron uniquely determines it and contains all the information about the dihedral angles. In this note we present formulae for the edge lenghts, heights and planar angles of the polyhedron in term of its Gram matrix. We also do the same in terms of th...
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | español |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/45362 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/45362 |
| Access Level: | acceso abierto |
| Palabra clave: | 514 515.1 Poliedros esféricos poliedros hiperbólicos matriz de Gram Geometría Topología 1204 Geometría 1210 Topología |
| Sumario: | The Gram matrix of a spherical or hyperbolic polyhedron uniquely determines it and contains all the information about the dihedral angles. In this note we present formulae for the edge lenghts, heights and planar angles of the polyhedron in term of its Gram matrix. We also do the same in terms of the lenght matrix. |
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