Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Catalan_solid> ?p ?o }
- Catalan_solid abstract "In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. The Catalan solids are named for the Belgian mathematician, Eugène Catalan, who first described them in 1865.The Catalan solids are all convex. They are face-transitive but not vertex-transitive. This is because the dual Archimedean solids are vertex-transitive and not face-transitive. Note that unlike Platonic solids and Archimedean solids, the faces of Catalan solids are not regular polygons. However, the vertex figures of Catalan solids are regular, and they have constant dihedral angles. Being face-transitive, Catalan solids are isohedra.Additionally, two of the Catalan solids are edge-transitive: the rhombic dodecahedron and the rhombic triacontahedron. These are the duals of the two quasi-regular Archimedean solids.Just as prisms and antiprisms are generally not considered Archimedean solids, so bipyramids and trapezohedra are generally not considered Catalan solids, despite being face-transitive.Two of the Catalan solids are chiral: the pentagonal icositetrahedron and the pentagonal hexecontahedron, dual to the chiral snub cube and snub dodecahedron. These each come in two enantiomorphs. Not counting the enantiomorphs, bipyramids, and trapezohedra, there are a total of 13 Catalan solids.".
- Catalan_solid thumbnail Rhombic_dodecahedron_v3434.png?width=300.
- Catalan_solid wikiPageExternalLink Catalan.htm.
- Catalan_solid wikiPageExternalLink archimedean-duals-info.html.
- Catalan_solid wikiPageID "564393".
- Catalan_solid wikiPageLength "12358".
- Catalan_solid wikiPageOutDegree "216".
- Catalan_solid wikiPageRevisionID "700977613".
- Catalan_solid wikiPageWikiLink Alan_Holden.
- Catalan_solid wikiPageWikiLink Antiprism.
- Catalan_solid wikiPageWikiLink Archimedean_solid.
- Catalan_solid wikiPageWikiLink Belgium.
- Catalan_solid wikiPageWikiLink Bipyramid.
- Catalan_solid wikiPageWikiLink Cambridge_University_Press.
- Catalan_solid wikiPageWikiLink Category:Catalan_solids.
- Catalan_solid wikiPageWikiLink Category:Polyhedra.
- Catalan_solid wikiPageWikiLink Chirality_(mathematics).
- Catalan_solid wikiPageWikiLink Conway_polyhedron_notation.
- Catalan_solid wikiPageWikiLink Cuboctahedron.
- Catalan_solid wikiPageWikiLink Deltoidal_hexecontahedron.
- Catalan_solid wikiPageWikiLink Deltoidal_icositetrahedron.
- Catalan_solid wikiPageWikiLink Dihedral_angle.
- Catalan_solid wikiPageWikiLink Disdyakis_dodecahedron.
- Catalan_solid wikiPageWikiLink Disdyakis_triacontahedron.
- Catalan_solid wikiPageWikiLink Dual_polyhedron.
- Catalan_solid wikiPageWikiLink Eugène_Charles_Catalan.
- Catalan_solid wikiPageWikiLink Icosidodecahedron.
- Catalan_solid wikiPageWikiLink Isogonal_figure.
- Catalan_solid wikiPageWikiLink Isohedral_figure.
- Catalan_solid wikiPageWikiLink Isohedron.
- Catalan_solid wikiPageWikiLink Isosceles_triangle.
- Catalan_solid wikiPageWikiLink Isotoxal_figure.
- Catalan_solid wikiPageWikiLink Johnson_solid.
- Catalan_solid wikiPageWikiLink Kite_(geometry).
- Catalan_solid wikiPageWikiLink List_of_convex_uniform_tilings.
- Catalan_solid wikiPageWikiLink Mathematics.
- Catalan_solid wikiPageWikiLink Pentagon.
- Catalan_solid wikiPageWikiLink Pentagonal_hexecontahedron.
- Catalan_solid wikiPageWikiLink Pentagonal_icositetrahedron.
- Catalan_solid wikiPageWikiLink Pentakis_dodecahedron.
- Catalan_solid wikiPageWikiLink Platonic_solid.
- Catalan_solid wikiPageWikiLink Prism_(geometry).
- Catalan_solid wikiPageWikiLink Quasiregular_polyhedron.
- Catalan_solid wikiPageWikiLink Regular_polygon.
- Catalan_solid wikiPageWikiLink Rhombic_dodecahedron.
- Catalan_solid wikiPageWikiLink Rhombic_triacontahedron.
- Catalan_solid wikiPageWikiLink Rhombicosidodecahedron.
- Catalan_solid wikiPageWikiLink Rhombicuboctahedron.
- Catalan_solid wikiPageWikiLink Rhombus.
- Catalan_solid wikiPageWikiLink Snub_cube.
- Catalan_solid wikiPageWikiLink Snub_dodecahedron.
- Catalan_solid wikiPageWikiLink Symmetry_group.
- Catalan_solid wikiPageWikiLink Tetrakis_hexahedron.
- Catalan_solid wikiPageWikiLink Trapezohedron.
- Catalan_solid wikiPageWikiLink Triakis_icosahedron.
- Catalan_solid wikiPageWikiLink Triakis_octahedron.
- Catalan_solid wikiPageWikiLink Triakis_tetrahedron.
- Catalan_solid wikiPageWikiLink Triangle.
- Catalan_solid wikiPageWikiLink Truncated_cube.
- Catalan_solid wikiPageWikiLink Truncated_cuboctahedron.
- Catalan_solid wikiPageWikiLink Truncated_dodecahedron.
- Catalan_solid wikiPageWikiLink Truncated_icosahedron.
- Catalan_solid wikiPageWikiLink Truncated_icosidodecahedron.
- Catalan_solid wikiPageWikiLink Truncated_octahedron.
- Catalan_solid wikiPageWikiLink Truncated_tetrahedron.
- Catalan_solid wikiPageWikiLink Vertex_configuration.
- Catalan_solid wikiPageWikiLink Vertex_figure.
- Catalan_solid wikiPageWikiLink File:DU02_facets.png.
- Catalan_solid wikiPageWikiLink File:DU07_facets.png.
- Catalan_solid wikiPageWikiLink File:DU08_facets.png.
- Catalan_solid wikiPageWikiLink File:DU09_facets.png.
- Catalan_solid wikiPageWikiLink File:DU10_facets.png.
- Catalan_solid wikiPageWikiLink File:DU11_facets.png.
- Catalan_solid wikiPageWikiLink File:DU12_facets.png.
- Catalan_solid wikiPageWikiLink File:DU24_facets.png.
- Catalan_solid wikiPageWikiLink File:DU25_facets.png.
- Catalan_solid wikiPageWikiLink File:DU26_facets.png.
- Catalan_solid wikiPageWikiLink File:DU27_facets.png.
- Catalan_solid wikiPageWikiLink File:DU28_facets.png.
- Catalan_solid wikiPageWikiLink File:DU29_facets.png.
- Catalan_solid wikiPageWikiLink File:Deltoidalhexecontahedron.jpg.
- Catalan_solid wikiPageWikiLink File:Deltoidalicositetrahedron.jpg.
- Catalan_solid wikiPageWikiLink File:Disdyakis_dodecahedron.png.
- Catalan_solid wikiPageWikiLink File:Disdyakis_triacontahedron.png.
- Catalan_solid wikiPageWikiLink File:Disdyakisdodecahedron.jpg.
- Catalan_solid wikiPageWikiLink File:Disdyakistriacontahedron.jpg.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t012.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t012_B2.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t012_f4.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t02.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t02_B2.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t02_f4b.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t1.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t12.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t12_B2.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t12_e66.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t1_B2.png.
- Catalan_solid wikiPageWikiLink File:Dual_cube_t1_v.png.
- Catalan_solid wikiPageWikiLink File:Dual_dodecahedron_t012_A2.png.
- Catalan_solid wikiPageWikiLink File:Dual_dodecahedron_t012_H3.png.