Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Simple_polytope> ?p ?o }
Showing triples 1 to 72 of
72
with 100 triples per page.
- 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.Micha Perles conjectured that a simple polytope is completely determined by its 1-skeleton; his conjecture was proven in 1987 by Blind and Mani-Levitska. Gil Kalai provided a later simplification of this result based on the theory of unique sink orientations.".
- Simple_polytope wikiPageExternalLink v=onepage&q=&f=false.
- Simple_polytope wikiPageID "8853286".
- Simple_polytope wikiPageLength "3294".
- Simple_polytope wikiPageOutDegree "51".
- Simple_polytope wikiPageRevisionID "689891439".
- Simple_polytope wikiPageWikiLink 120-cell.
- Simple_polytope wikiPageWikiLink Archimedean_solid.
- Simple_polytope wikiPageWikiLink Associahedron.
- Simple_polytope wikiPageWikiLink Category:Euclidean_geometry.
- Simple_polytope wikiPageWikiLink Chamfer_(geometry).
- Simple_polytope wikiPageWikiLink Cube.
- Simple_polytope wikiPageWikiLink Dehn–Sommerville_equations.
- Simple_polytope wikiPageWikiLink Dodecahedron.
- Simple_polytope wikiPageWikiLink Dual_polyhedron.
- Simple_polytope wikiPageWikiLink Duoprism.
- Simple_polytope wikiPageWikiLink Edge_(geometry).
- Simple_polytope wikiPageWikiLink Facet_(geometry).
- Simple_polytope wikiPageWikiLink Fullerene.
- Simple_polytope wikiPageWikiLink Geometry.
- Simple_polytope wikiPageWikiLink Gil_Kalai.
- Simple_polytope wikiPageWikiLink Goldberg_polyhedron.
- Simple_polytope wikiPageWikiLink Hypercube.
- Simple_polytope wikiPageWikiLink Micha_Perles.
- Simple_polytope wikiPageWikiLink Omnitruncation.
- Simple_polytope wikiPageWikiLink Permutohedron.
- Simple_polytope wikiPageWikiLink Platonic_solid.
- Simple_polytope wikiPageWikiLink Polygon.
- Simple_polytope wikiPageWikiLink Polyhedron.
- Simple_polytope wikiPageWikiLink Polytope.
- Simple_polytope wikiPageWikiLink Prism_(geometry).
- Simple_polytope wikiPageWikiLink Simplex.
- Simple_polytope wikiPageWikiLink Simplicial_polytope.
- Simple_polytope wikiPageWikiLink Tesseract.
- Simple_polytope wikiPageWikiLink Tetrahedron.
- Simple_polytope wikiPageWikiLink Truncated_120-cells.
- Simple_polytope wikiPageWikiLink Truncated_24-cells.
- Simple_polytope wikiPageWikiLink Truncated_5-cell.
- Simple_polytope wikiPageWikiLink Truncated_cube.
- Simple_polytope wikiPageWikiLink Truncated_cuboctahedron.
- Simple_polytope wikiPageWikiLink Truncated_dodecahedron.
- Simple_polytope wikiPageWikiLink Truncated_icosahedron.
- Simple_polytope wikiPageWikiLink Truncated_icosidodecahedron.
- Simple_polytope wikiPageWikiLink Truncated_octahedron.
- Simple_polytope wikiPageWikiLink Truncated_tesseract.
- Simple_polytope wikiPageWikiLink Truncated_tetrahedron.
- Simple_polytope wikiPageWikiLink Truncated_trapezohedron.
- Simple_polytope wikiPageWikiLink Truncation_(geometry).
- Simple_polytope wikiPageWikiLink Uniform_4-polytope.
- Simple_polytope wikiPageWikiLink Unique_sink_orientation.
- Simple_polytope wikiPageWikiLink Vertex_(geometry).
- Simple_polytope wikiPageWikiLink Vertex_figure.
- Simple_polytope wikiPageWikiLink Voronoi_diagram.
- Simple_polytope wikiPageWikiLinkText "Simple polytope".
- Simple_polytope wikiPageWikiLinkText "hexagon/pentagon system".
- Simple_polytope wikiPageWikiLinkText "simple ''d''-dimensional polytope".
- Simple_polytope wikiPageWikiLinkText "simple polytope".
- Simple_polytope wikiPageWikiLinkText "simple".
- Simple_polytope wikiPageUsesTemplate Template:Cite_book.
- Simple_polytope wikiPageUsesTemplate Template:Geometry-stub.
- Simple_polytope wikiPageUsesTemplate Template:Reflist.
- Simple_polytope subject Category:Euclidean_geometry.
- Simple_polytope hypernym Polytope.
- 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 sameAs Q4381515.
- Simple_polytope sameAs m.027m26j.
- Simple_polytope sameAs Простой_многогранник.
- Simple_polytope sameAs Простий_многогранник.
- Simple_polytope sameAs Q4381515.
- Simple_polytope wasDerivedFrom Simple_polytope?oldid=689891439.
- Simple_polytope isPrimaryTopicOf Simple_polytope.