Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Petrie_polygon> ?p ?o }
- Petrie_polygon abstract "In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon such that every (n-1) consecutive sides (but no n) belong to one of the facets. The Petrie polygon of a regular polygon is the regular polygon itself; that of a regular polyhedron is a skew polygon such that every two consecutive sides (but no three) belong to one of the faces.For every regular polytope there exists an orthogonal projection onto a plane such that one Petrie polygon becomes a regular polygon with the remainder of the projection interior to it. The plane in question is the Coxeter plane of the symmetry group of the polygon, and the number of sides, h, is Coxeter number of the Coxeter group. These polygons and projected graphs are useful in visualizing symmetric structure of the higher-dimensional regular polytopes.".
- Petrie_polygon thumbnail Petrie_polygon_mapping_cube_to_hexagon.png?width=300.
- Petrie_polygon wikiPageID "18571869".
- Petrie_polygon wikiPageLength "10933".
- Petrie_polygon wikiPageOutDegree "69".
- Petrie_polygon wikiPageRevisionID "704672460".
- Petrie_polygon wikiPageWikiLink 120-cell.
- Petrie_polygon wikiPageWikiLink 16-cell.
- Petrie_polygon wikiPageWikiLink 24-cell.
- Petrie_polygon wikiPageWikiLink 5-cell.
- Petrie_polygon wikiPageWikiLink 600-cell.
- Petrie_polygon wikiPageWikiLink Apeirogon.
- Petrie_polygon wikiPageWikiLink Cambridge_University_Press.
- Petrie_polygon wikiPageWikiLink Category:Polytopes.
- Petrie_polygon wikiPageWikiLink Coxeter_element.
- Petrie_polygon wikiPageWikiLink Coxeter_group.
- Petrie_polygon wikiPageWikiLink Cross-polytope.
- Petrie_polygon wikiPageWikiLink Cube.
- Petrie_polygon wikiPageWikiLink Dodecahedron.
- Petrie_polygon wikiPageWikiLink Dual_polyhedron.
- Petrie_polygon wikiPageWikiLink Edge_(geometry).
- Petrie_polygon wikiPageWikiLink Egyptology.
- Petrie_polygon wikiPageWikiLink Euler_characteristic.
- Petrie_polygon wikiPageWikiLink Face_(geometry).
- Petrie_polygon wikiPageWikiLink Facet_(geometry).
- Petrie_polygon wikiPageWikiLink Flinders_Petrie.
- Petrie_polygon wikiPageWikiLink Geometry.
- Petrie_polygon wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Petrie_polygon wikiPageWikiLink Hemicube_(geometry).
- Petrie_polygon wikiPageWikiLink Hexagonal_tiling.
- Petrie_polygon wikiPageWikiLink Hypercube.
- Petrie_polygon wikiPageWikiLink Icosahedron.
- Petrie_polygon wikiPageWikiLink Octahedron.
- Petrie_polygon wikiPageWikiLink Order-4_hexagonal_tiling.
- Petrie_polygon wikiPageWikiLink Order-7_triangular_tiling.
- Petrie_polygon wikiPageWikiLink Patrick_du_Val.
- Petrie_polygon wikiPageWikiLink Peter_McMullen.
- Petrie_polygon wikiPageWikiLink Projection_(linear_algebra).
- Petrie_polygon wikiPageWikiLink Regular_Polytopes_(book).
- Petrie_polygon wikiPageWikiLink Regular_map_(graph_theory).
- Petrie_polygon wikiPageWikiLink Regular_polygon.
- Petrie_polygon wikiPageWikiLink Regular_polyhedron.
- Petrie_polygon wikiPageWikiLink Regular_polytope.
- Petrie_polygon wikiPageWikiLink Semiregular_polytope.
- Petrie_polygon wikiPageWikiLink Simple_Lie_group.
- Petrie_polygon wikiPageWikiLink Simplex.
- Petrie_polygon wikiPageWikiLink Skew_polygon.
- Petrie_polygon wikiPageWikiLink Surrey.
- Petrie_polygon wikiPageWikiLink Symmetry_group.
- Petrie_polygon wikiPageWikiLink Tesseract.
- Petrie_polygon wikiPageWikiLink Tetrahedron.
- Petrie_polygon wikiPageWikiLink The_Fifty-Nine_Icosahedra.
- Petrie_polygon wikiPageWikiLink File:120-cell_graph_H4.svg.
- Petrie_polygon wikiPageWikiLink File:24-cell_t0_F4.svg.
- Petrie_polygon wikiPageWikiLink File:4-cube_graph.svg.
- Petrie_polygon wikiPageWikiLink File:4-orthoplex.svg.
- Petrie_polygon wikiPageWikiLink File:4-simplex_t0.svg.
- Petrie_polygon wikiPageWikiLink File:600-cell_graph_H4.svg.
- Petrie_polygon wikiPageWikiLink File:Cube_4_petrie_polygons.png.
- Petrie_polygon wikiPageWikiLink File:Hemicube2.PNG.
- Petrie_polygon wikiPageWikiLink File:Octahedron_4_petrie_polygons.png.
- Petrie_polygon wikiPageWikiLink File:Order-7_triangular_tiling_petrie_polygon.png.
- Petrie_polygon wikiPageWikiLink File:Petrial_dodecahedron.png.
- Petrie_polygon wikiPageWikiLink File:Petrial_icosahedron.png.
- Petrie_polygon wikiPageWikiLink File:Petrie_polygon_mapping_cube_to_hexagon.png.
- Petrie_polygon wikiPageWikiLink File:Petrie_polygons.png.
- Petrie_polygon wikiPageWikiLink File:Petrie_polygons_of_regular_tilings.png.
- Petrie_polygon wikiPageWikiLink File:Tetrahedron_3_petrie_polygons.png.
- Petrie_polygon wikiPageWikiLink File:Toroidal_hexagonal_tiling_2-0.png.
- Petrie_polygon wikiPageWikiLinkText "Petrie dual".
- Petrie_polygon wikiPageWikiLinkText "Petrie duality".
- Petrie_polygon wikiPageWikiLinkText "Petrie polygon".
- Petrie_polygon wikiPageWikiLinkText "Petrie_polygon#Petrie_dual".
- Petrie_polygon wikiPageWikiLinkText "petrie polygon".
- Petrie_polygon wikiPageWikiLinkText "skew orthogonal projection".
- Petrie_polygon title "120".
- Petrie_polygon title "24".
- Petrie_polygon title "600".
- Petrie_polygon title "Cross polytope graphs".
- Petrie_polygon title "Gosset graph 3_21".
- Petrie_polygon title "Hypercube graphs".
- Petrie_polygon title "Petrie polygon".
- Petrie_polygon urlname "120".
- Petrie_polygon urlname "24".
- Petrie_polygon urlname "600".
- Petrie_polygon urlname "CrossPolytope".
- Petrie_polygon urlname "GossetGraph".
- Petrie_polygon urlname "HypercubeGraph".
- Petrie_polygon urlname "PetriePolygon".
- Petrie_polygon wikiPageUsesTemplate Template:CDD.
- Petrie_polygon wikiPageUsesTemplate Template:Icosahedron_visualizations.
- Petrie_polygon wikiPageUsesTemplate Template:LCCN.
- Petrie_polygon wikiPageUsesTemplate Template:Mathworld.
- Petrie_polygon wikiPageUsesTemplate Template:Polytopes.
- Petrie_polygon wikiPageUsesTemplate Template:Reflist.
- Petrie_polygon subject Category:Polytopes.
- Petrie_polygon hypernym Polygon.
- Petrie_polygon type Software.
- Petrie_polygon type Polytope.
- Petrie_polygon type Redirect.