About: Ideal polyhedron

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In three-dimensional hyperbolic geometry, an ideal polyhedron is a convex polyhedron all of whose vertices are ideal points, points "at infinity" rather than interior to three-dimensional hyperbolic space. It can be defined as the convex hull of a finite set of ideal points. An ideal polyhedron has ideal polygons as its faces, meeting along lines of the hyperbolic space.

Attributes	Values
rdfs:label	Polyèdre idéal (fr) Ideal polyhedron (en)
rdfs:comment	In three-dimensional hyperbolic geometry, an ideal polyhedron is a convex polyhedron all of whose vertices are ideal points, points "at infinity" rather than interior to three-dimensional hyperbolic space. It can be defined as the convex hull of a finite set of ideal points. An ideal polyhedron has ideal polygons as its faces, meeting along lines of the hyperbolic space. (en) En géométrie hyperbolique à trois dimensions, un polyèdre idéal est un polyèdre convexe dont tous les sommets sont des points idéaux, c'est-à-dire des points "à l'infini" plutôt qu'à l'intérieur de l'espace hyperbolique tridimensionnel. Ce sont également les enveloppes convexes d'un ensemble fini de points idéaux. Toute face d'un polyèdre idéal est un . Toutes les arêtes sont des droites de l'espace hyperbolique. (fr)
foaf:depiction
dcterms:subject	Polyhedra Spheres Hyperbolic geometry
Wikipage page ID	64419430 (xsd:integer)
Wikipage revision ID	1109965392 (xsd:integer)
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