Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Isogonal_figure> ?p ?o }
- Isogonal_figure abstract "In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if, loosely speaking, all its vertices are the same. That implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces.Technically, we say that for any two vertices there exists a symmetry of the polytope mapping the first isometrically onto the second. Other ways of saying this are that the group of automorphisms of the polytope is transitive on its vertices, or that the vertices lie within a single symmetry orbit.All vertices of a finite n-dimensional isogonal figure exist on an (n-1)-sphere.The term isogonal has long been used for polyhedra. Vertex-transitive is a synonym borrowed from modern ideas such as symmetry groups and graph theory.The pseudorhombicuboctahedron — which is not isogonal — demonstrates that simply asserting that "all vertices look the same" is not as restrictive as the definition used here, which involves the group of isometries preserving the polyhedron or tiling.".
- Isogonal_figure thumbnail Uniform_apeirogon.png?width=300.
- Isogonal_figure wikiPageExternalLink uniftil.htm.
- Isogonal_figure wikiPageExternalLink mosaic2000.
- Isogonal_figure wikiPageExternalLink tilings.html.
- Isogonal_figure wikiPageExternalLink kaleido_frames.html.
- Isogonal_figure wikiPageID "581560".
- Isogonal_figure wikiPageLength "8292".
- Isogonal_figure wikiPageOutDegree "96".
- Isogonal_figure wikiPageRevisionID "667158258".
- Isogonal_figure wikiPageWikiLink Apeirogon.
- Isogonal_figure wikiPageWikiLink Branko_Grünbaum.
- Isogonal_figure wikiPageWikiLink Category:Polyhedra.
- Isogonal_figure wikiPageWikiLink Category:Polytopes.
- Isogonal_figure wikiPageWikiLink Chamfer_(geometry).
- Isogonal_figure wikiPageWikiLink Convex_uniform_honeycomb.
- Isogonal_figure wikiPageWikiLink Crossed_rectangle.
- Isogonal_figure wikiPageWikiLink Dihedral_group.
- Isogonal_figure wikiPageWikiLink Dihedral_symmetry.
- Isogonal_figure wikiPageWikiLink Dual_polyhedron.
- Isogonal_figure wikiPageWikiLink Dual_polytope.
- Isogonal_figure wikiPageWikiLink Edge-transitive.
- Isogonal_figure wikiPageWikiLink Elongated_square_gyrobicupola.
- Isogonal_figure wikiPageWikiLink Enneagram_(geometry).
- Isogonal_figure wikiPageWikiLink Equilateral_triangle.
- Isogonal_figure wikiPageWikiLink Euclidean_tilings_of_convex_regular_polygons.
- Isogonal_figure wikiPageWikiLink Euclidean_tilings_of_regular_polygons.
- Isogonal_figure wikiPageWikiLink Face-transitive.
- Isogonal_figure wikiPageWikiLink Face_(geometry).
- Isogonal_figure wikiPageWikiLink Facet_(geometry).
- Isogonal_figure wikiPageWikiLink G.C._Shephard.
- Isogonal_figure wikiPageWikiLink Geoffrey_Colin_Shephard.
- Isogonal_figure wikiPageWikiLink Geometry.
- Isogonal_figure wikiPageWikiLink Graph_theory.
- Isogonal_figure wikiPageWikiLink Group_action.
- Isogonal_figure wikiPageWikiLink Hexagon.
- Isogonal_figure wikiPageWikiLink Hexagonal_prism.
- Isogonal_figure wikiPageWikiLink Hexagram.
- Isogonal_figure wikiPageWikiLink Honeycomb_(geometry).
- Isogonal_figure wikiPageWikiLink Isohedral.
- Isogonal_figure wikiPageWikiLink Isohedral_figure.
- Isogonal_figure wikiPageWikiLink Isometry.
- Isogonal_figure wikiPageWikiLink Isotope_(geometry).
- Isogonal_figure wikiPageWikiLink Isotoxal.
- Isogonal_figure wikiPageWikiLink Isotoxal_figure.
- Isogonal_figure wikiPageWikiLink Isotoxal_polygon.
- Isogonal_figure wikiPageWikiLink N-sphere.
- Isogonal_figure wikiPageWikiLink Noble_polyhedron.
- Isogonal_figure wikiPageWikiLink Octagon.
- Isogonal_figure wikiPageWikiLink Octahedral_symmetry.
- Isogonal_figure wikiPageWikiLink Polygon.
- Isogonal_figure wikiPageWikiLink Polyhedron.
- Isogonal_figure wikiPageWikiLink Polytope.
- Isogonal_figure wikiPageWikiLink Pyritohedral_symmetry.
- Isogonal_figure wikiPageWikiLink Quasiregular_polyhedron.
- Isogonal_figure wikiPageWikiLink Rectangle.
- Isogonal_figure wikiPageWikiLink Regular_polygon.
- Isogonal_figure wikiPageWikiLink Regular_polygons.
- Isogonal_figure wikiPageWikiLink Regular_polyhedron.
- Isogonal_figure wikiPageWikiLink Regular_star_polygon.
- Isogonal_figure wikiPageWikiLink Rhombicuboctahedron.
- Isogonal_figure wikiPageWikiLink Semiregular_polyhedron.
- Isogonal_figure wikiPageWikiLink Skew_apeirogon.
- Isogonal_figure wikiPageWikiLink Square.
- Isogonal_figure wikiPageWikiLink Square_(geometry).
- Isogonal_figure wikiPageWikiLink Square_tiling.
- Isogonal_figure wikiPageWikiLink Symmetry.
- Isogonal_figure wikiPageWikiLink Symmetry_group.
- Isogonal_figure wikiPageWikiLink Symmetry_orbit.
- Isogonal_figure wikiPageWikiLink Tetradecagon.
- Isogonal_figure wikiPageWikiLink Tetrahedral_symmetry.
- Isogonal_figure wikiPageWikiLink Truncated_cuboctahedron.
- Isogonal_figure wikiPageWikiLink Truncated_rhombic_dodecahedron.
- Isogonal_figure wikiPageWikiLink Truncated_square_tiling.
- Isogonal_figure wikiPageWikiLink Uniform_4-polytope.
- Isogonal_figure wikiPageWikiLink Uniform_coloring.
- Isogonal_figure wikiPageWikiLink Uniform_polyhedron.
- Isogonal_figure wikiPageWikiLink Uniform_polytope.
- Isogonal_figure wikiPageWikiLink Vertex_(geometry).
- Isogonal_figure wikiPageWikiLink Vertex_arrangement.
- Isogonal_figure wikiPageWikiLink Vertex_configuration.
- Isogonal_figure wikiPageWikiLink Vladimir_L._Bulatov.
- Isogonal_figure wikiPageWikiLink File:2-uniform_11.png.
- Isogonal_figure wikiPageWikiLink File:Cantic_snub_hexagonal_hosohedron2.png.
- Isogonal_figure wikiPageWikiLink File:Cantic_snub_octahedron.png.
- Isogonal_figure wikiPageWikiLink File:Crossed_rectangles.png.
- Isogonal_figure wikiPageWikiLink File:Cube_truncation_1.50.png.
- Isogonal_figure wikiPageWikiLink File:Distorted_truncated_square_tiling.png.
- Isogonal_figure wikiPageWikiLink File:Enneagram_9-4_icosahedral.svg.
- Isogonal_figure wikiPageWikiLink File:Isogonal_apeirogon.png.
- Isogonal_figure wikiPageWikiLink File:Isogonal_apeirogon2.png.
- Isogonal_figure wikiPageWikiLink File:Isogonal_apeirogon2a.png.
- Isogonal_figure wikiPageWikiLink File:Isogonal_apeirogon2b.png.
- Isogonal_figure wikiPageWikiLink File:Isogonal_apeirogon2c.png.
- Isogonal_figure wikiPageWikiLink File:Isogonal_apeirogon2d.png.
- Isogonal_figure wikiPageWikiLink File:Isogonal_apeirogon_linear.png.
- Isogonal_figure wikiPageWikiLink File:Isogonal_snub_square_tiling.png.
- Isogonal_figure wikiPageWikiLink File:Regular_polygon_truncation_7_3.svg.
- Isogonal_figure wikiPageWikiLink File:Regular_truncation_3_0.75.svg.
- Isogonal_figure wikiPageWikiLink File:Truncated_rhombic_dodecahedron2.png.