Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/List_of_uniform_polyhedra> ?p ?o }
- List_of_uniform_polyhedra abstract "In geometry, a uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent, and the polyhedron has a high degree of reflectional and rotational symmetry. Uniform polyhedra can be divided between convex forms with convex regular polygon faces and star forms. Star forms have either regular star polygon faces or vertex figures or both.This list includes these: all 75 nonprismatic uniform polyhedra; a few representatives of the infinite sets of prisms and antiprisms; one special case polyhedron, Skilling's figure with overlapping edges.It was proven in 1970 that there are only 75 uniform polyhedra other than the infinite families of prisms and antiprisms. John Skilling discovered one more, by relaxing the condition that only two faces may meet at an edge. Some authors do not count it as a uniform polyhedron, because some pairs of edges coincide.Not included are: 40 potential uniform polyhedra with degenerate vertex figures which have overlapping edges (not counted by Coxeter); The uniform tilings (infinite polyhedra) 11 Euclidean uniform tessellations with convex faces; 14 Euclidean uniform tilings with nonconvex faces; Infinite number of uniform tilings in hyperbolic plane.".
- List_of_uniform_polyhedra wikiPageExternalLink uniform.
- List_of_uniform_polyhedra wikiPageExternalLink summary.
- List_of_uniform_polyhedra wikiPageExternalLink polyhedra.
- List_of_uniform_polyhedra wikiPageExternalLink UniformPolyhedron.html.
- List_of_uniform_polyhedra wikiPageExternalLink uniform.
- List_of_uniform_polyhedra wikiPageExternalLink u034.htm.
- List_of_uniform_polyhedra wikiPageExternalLink uniform.pdf.
- List_of_uniform_polyhedra wikiPageExternalLink kaleido.
- List_of_uniform_polyhedra wikiPageExternalLink unipoly.
- List_of_uniform_polyhedra wikiPageExternalLink list.html.
- List_of_uniform_polyhedra wikiPageExternalLink uniform.html.
- List_of_uniform_polyhedra wikiPageExternalLink e_klintro.htm.
- List_of_uniform_polyhedra wikiPageExternalLink Stella.php.
- List_of_uniform_polyhedra wikiPageExternalLink Uniform.php.
- List_of_uniform_polyhedra wikiPageID "2850448".
- List_of_uniform_polyhedra wikiPageLength "40255".
- List_of_uniform_polyhedra wikiPageOutDegree "343".
- List_of_uniform_polyhedra wikiPageRevisionID "681394123".
- List_of_uniform_polyhedra wikiPageWikiLink Antiprism.
- List_of_uniform_polyhedra wikiPageWikiLink Category:Mathematics-related_lists.
- List_of_uniform_polyhedra wikiPageWikiLink Category:Uniform_polyhedra.
- List_of_uniform_polyhedra wikiPageWikiLink Congruence_(geometry).
- List_of_uniform_polyhedra wikiPageWikiLink Convex_polyhedron.
- List_of_uniform_polyhedra wikiPageWikiLink Convex_polytope.
- List_of_uniform_polyhedra wikiPageWikiLink Coxeter.
- List_of_uniform_polyhedra wikiPageWikiLink Cube.
- List_of_uniform_polyhedra wikiPageWikiLink Cubitruncated_cuboctahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Cuboctahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Cubohemioctahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Decagonal_antiprism.
- List_of_uniform_polyhedra wikiPageWikiLink Decagonal_prism.
- List_of_uniform_polyhedra wikiPageWikiLink Density_(polytope).
- List_of_uniform_polyhedra wikiPageWikiLink Dihedral_symmetry_in_three_dimensions.
- List_of_uniform_polyhedra wikiPageWikiLink Ditrigonal_dodecadodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Dodecadodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Dodecagonal_antiprism.
- List_of_uniform_polyhedra wikiPageWikiLink Dodecagonal_prism.
- List_of_uniform_polyhedra wikiPageWikiLink Dodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Euclidean_tilings_of_convex_regular_polygons.
- List_of_uniform_polyhedra wikiPageWikiLink Euclidean_tilings_of_regular_polygons.
- List_of_uniform_polyhedra wikiPageWikiLink Euler_characteristic.
- List_of_uniform_polyhedra wikiPageWikiLink Face_(geometry).
- List_of_uniform_polyhedra wikiPageWikiLink Geometry.
- List_of_uniform_polyhedra wikiPageWikiLink Great_cubicuboctahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_dirhombicosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_disnub_dirhombidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_ditrigonal_dodecicosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_ditrigonal_icosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_dodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_dodecahemicosahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_dodecahemidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_dodecicosahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_dodecicosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_icosahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_icosicosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_icosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_icosihemidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_inverted_snub_icosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_retrosnub_icosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_rhombidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_rhombihexahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_snub_dodecicosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_snub_icosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_stellated_dodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_stellated_truncated_dodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_truncated_cuboctahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Great_truncated_icosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Group_action.
- List_of_uniform_polyhedra wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- List_of_uniform_polyhedra wikiPageWikiLink Hemipolyhedron.
- List_of_uniform_polyhedra wikiPageWikiLink 2).
- List_of_uniform_polyhedra wikiPageWikiLink 3).
- List_of_uniform_polyhedra wikiPageWikiLink Heptagrammic_crossed-antiprism.
- List_of_uniform_polyhedra wikiPageWikiLink 2).
- List_of_uniform_polyhedra wikiPageWikiLink 3).
- List_of_uniform_polyhedra wikiPageWikiLink Hexagonal_antiprism.
- List_of_uniform_polyhedra wikiPageWikiLink Hexagonal_prism.
- List_of_uniform_polyhedra wikiPageWikiLink Icosahedral_symmetry.
- List_of_uniform_polyhedra wikiPageWikiLink Icosahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Icosidodecadodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Icosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Icositruncated_dodecadodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Inverted_snub_dodecadodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Isogonal_figure.
- List_of_uniform_polyhedra wikiPageWikiLink Isometry.
- List_of_uniform_polyhedra wikiPageWikiLink List_of_Wenninger_polyhedron_models.
- List_of_uniform_polyhedra wikiPageWikiLink List_of_uniform_polyhedra.
- List_of_uniform_polyhedra wikiPageWikiLink List_of_uniform_polyhedra_by_Schwarz_triangle.
- List_of_uniform_polyhedra wikiPageWikiLink Nonconvex_great_rhombicosidodecahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Nonconvex_great_rhombicuboctahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Octagonal_antiprism.
- List_of_uniform_polyhedra wikiPageWikiLink Octagonal_prism.
- List_of_uniform_polyhedra wikiPageWikiLink Octagrammic_antiprism.
- List_of_uniform_polyhedra wikiPageWikiLink Octagrammic_crossed-antiprism.
- List_of_uniform_polyhedra wikiPageWikiLink Octagrammic_prism.
- List_of_uniform_polyhedra wikiPageWikiLink Octahedral_symmetry.
- List_of_uniform_polyhedra wikiPageWikiLink Octahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Octahemioctahedron.
- List_of_uniform_polyhedra wikiPageWikiLink Orientability.