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- Simple_polytope abstract "In geometry, a d-dimensional simple polytope is a d-dimensional polytope each of whose vertices are adjacent to exactly d edges (also d facets). The vertex figure of a simple d-polytope is a (d-1)-simplex.They are topologically dual to simplicial polytopes. The family of polytopes which are both simple and simplicial are simplices or two-dimensional polygons.For example, a simple polyhedron is a polyhedron whose vertices are adjacent to 3 edges and 3 faces. And the dual to a simple polyhedron is a simplicial polyhedron, containing all triangular faces.A famous result by Gil Kalai states that a simple polytope is completely determined by its 1-skeleton.".
- Simple_polytope wikiPageExternalLink v=onepage&q=&f=false.
- Simple_polytope wikiPageID "8853286".
- Simple_polytope wikiPageRevisionID "605996594".
- Simple_polytope hasPhotoCollection Simple_polytope.
- Simple_polytope subject Category:Euclidean_geometry.
- Simple_polytope comment "In geometry, a d-dimensional simple polytope is a d-dimensional polytope each of whose vertices are adjacent to exactly d edges (also d facets). The vertex figure of a simple d-polytope is a (d-1)-simplex.They are topologically dual to simplicial polytopes. The family of polytopes which are both simple and simplicial are simplices or two-dimensional polygons.For example, a simple polyhedron is a polyhedron whose vertices are adjacent to 3 edges and 3 faces.".
- Simple_polytope label "Simple polytope".
- Simple_polytope label "Простой многогранник".
- Simple_polytope sameAs m.027m26j.
- Simple_polytope sameAs Q4381515.
- Simple_polytope sameAs Q4381515.
- Simple_polytope wasDerivedFrom Simple_polytope?oldid=605996594.
- Simple_polytope isPrimaryTopicOf Simple_polytope.