Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/4_21_polytope> ?p ?o }
- 4_21_polytope abstract "In 8-dimensional geometry, the 421 is a semiregular uniform 8-polytope, constructed within the symmetry of the E8 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 8-ic semi-regular figure.Its Coxeter symbol is 421, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 4-node sequences, File:CDel nodea 1.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel branch.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.png.The rectified 421 is constructed by points at the mid-edges of the 421. The birectified 421 is constructed by points at the triangle face centers of the 421. The trirectified 421 is constructed by points at the tetrahedral centers of the 421, and is the same as the rectified 142.These polytopes are part of a family of 255 = 28 − 1 convex uniform 8-polytopes, made of uniform 7-polytope facets and vertex figures, defined by all permutations of one or more rings in this Coxeter-Dynkin diagram: File:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel branch.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.png.".
- 4_21_polytope thumbnail 4_21_t0_E6.svg?width=300.
- 4_21_polytope wikiPageExternalLink VisibLie_E8.nbp.
- 4_21_polytope wikiPageExternalLink productCd-0471010030.html.
- 4_21_polytope wikiPageID "19236362".
- 4_21_polytope wikiPageLength "29766".
- 4_21_polytope wikiPageOutDegree "248".
- 4_21_polytope wikiPageRevisionID "681654197".
- 4_21_polytope wikiPageWikiLink 1_42_polytope.
- 4_21_polytope wikiPageWikiLink 2_21_polytope.
- 4_21_polytope wikiPageWikiLink 2_31_polytope.
- 4_21_polytope wikiPageWikiLink 2_41_polytope.
- 4_21_polytope wikiPageWikiLink 3_21_polytope.
- 4_21_polytope wikiPageWikiLink 5-cell.
- 4_21_polytope wikiPageWikiLink 5-demicube.
- 4_21_polytope wikiPageWikiLink 5-simplex.
- 4_21_polytope wikiPageWikiLink 5_21_honeycomb.
- 4_21_polytope wikiPageWikiLink 6-simplex.
- 4_21_polytope wikiPageWikiLink 600-cell.
- 4_21_polytope wikiPageWikiLink 7-orthoplex.
- 4_21_polytope wikiPageWikiLink 7-simplex.
- 4_21_polytope wikiPageWikiLink Alexander_Witting.
- 4_21_polytope wikiPageWikiLink Birectified_3_21_polytope.
- 4_21_polytope wikiPageWikiLink Birectified_7-orthoplex.
- 4_21_polytope wikiPageWikiLink Birectified_7-simplex.
- 4_21_polytope wikiPageWikiLink Category:8-polytopes.
- 4_21_polytope wikiPageWikiLink Combination.
- 4_21_polytope wikiPageWikiLink Complex_number.
- 4_21_polytope wikiPageWikiLink Complex_polytope.
- 4_21_polytope wikiPageWikiLink Composition_algebra.
- 4_21_polytope wikiPageWikiLink Convex_polytope.
- 4_21_polytope wikiPageWikiLink Coxeter-Dynkin_diagram.
- 4_21_polytope wikiPageWikiLink Coxeter_diagram.
- 4_21_polytope wikiPageWikiLink Coxeter_element.
- 4_21_polytope wikiPageWikiLink Coxeter_group.
- 4_21_polytope wikiPageWikiLink Coxeter_plane.
- 4_21_polytope wikiPageWikiLink Coxeter_symbol.
- 4_21_polytope wikiPageWikiLink Coxeter–Dynkin_diagram.
- 4_21_polytope wikiPageWikiLink Cross-polytope.
- 4_21_polytope wikiPageWikiLink Dynkin_diagram.
- 4_21_polytope wikiPageWikiLink E._L._Elte.
- 4_21_polytope wikiPageWikiLink E8_(mathematics).
- 4_21_polytope wikiPageWikiLink Emanuel_Lodewijk_Elte.
- 4_21_polytope wikiPageWikiLink Facet_(geometry).
- 4_21_polytope wikiPageWikiLink File:E8_roots_zome.jpg.
- 4_21_polytope wikiPageWikiLink Folding_(Dynkin_diagram).
- 4_21_polytope wikiPageWikiLink Geometry.
- 4_21_polytope wikiPageWikiLink Gosset_2_21_polytope.
- 4_21_polytope wikiPageWikiLink Gosset_3_21_polytope.
- 4_21_polytope wikiPageWikiLink Gosset–Elte_figures.
- 4_21_polytope wikiPageWikiLink Group_(mathematics).
- 4_21_polytope wikiPageWikiLink H.S.M._Coxeter.
- 4_21_polytope wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- 4_21_polytope wikiPageWikiLink Heptacross.
- 4_21_polytope wikiPageWikiLink Hyperplane.
- 4_21_polytope wikiPageWikiLink List_of_E8_polytopes.
- 4_21_polytope wikiPageWikiLink Moufang_loop.
- 4_21_polytope wikiPageWikiLink Normed_division_algebra.
- 4_21_polytope wikiPageWikiLink Octonion.
- 4_21_polytope wikiPageWikiLink Octonions.
- 4_21_polytope wikiPageWikiLink Orthogonal_projection.
- 4_21_polytope wikiPageWikiLink Orthoplex.
- 4_21_polytope wikiPageWikiLink Pentachoron.
- 4_21_polytope wikiPageWikiLink Permutation.
- 4_21_polytope wikiPageWikiLink Peter_McMullen.
- 4_21_polytope wikiPageWikiLink Petrie_polygon.
- 4_21_polytope wikiPageWikiLink Projection_(linear_algebra).
- 4_21_polytope wikiPageWikiLink Quasigroup.
- 4_21_polytope wikiPageWikiLink Rectification_(geometry).
- 4_21_polytope wikiPageWikiLink Rectified_1_42_polytope.
- 4_21_polytope wikiPageWikiLink Rectified_2_41_polytope.
- 4_21_polytope wikiPageWikiLink Rectified_3_21_polytope.
- 4_21_polytope wikiPageWikiLink Rectified_5-cell.
- 4_21_polytope wikiPageWikiLink Rectified_7-orthoplex.
- 4_21_polytope wikiPageWikiLink Rectified_7-orthoplexes.
- 4_21_polytope wikiPageWikiLink Rectified_7-simplex.
- 4_21_polytope wikiPageWikiLink Rectified_7-simplexes.
- 4_21_polytope wikiPageWikiLink Regular_complex_polytope.
- 4_21_polytope wikiPageWikiLink Regular_polygon.
- 4_21_polytope wikiPageWikiLink Regular_polytope.
- 4_21_polytope wikiPageWikiLink Schläfli_symbol.
- 4_21_polytope wikiPageWikiLink Semiregular_k_21_polytope.
- 4_21_polytope wikiPageWikiLink Simple_Lie_group.
- 4_21_polytope wikiPageWikiLink Simplex.
- 4_21_polytope wikiPageWikiLink String_art.
- 4_21_polytope wikiPageWikiLink Tetrahedron.
- 4_21_polytope wikiPageWikiLink Thorold_Gosset.
- 4_21_polytope wikiPageWikiLink Triacontagon.
- 4_21_polytope wikiPageWikiLink Triangle.
- 4_21_polytope wikiPageWikiLink Triangular_prism.
- 4_21_polytope wikiPageWikiLink Trirectified_7-orthoplex.
- 4_21_polytope wikiPageWikiLink Trirectified_7-simplex.
- 4_21_polytope wikiPageWikiLink Uniform_7-polytope.
- 4_21_polytope wikiPageWikiLink Uniform_8-polytope.
- 4_21_polytope wikiPageWikiLink Uniform_k21_polytope.
- 4_21_polytope wikiPageWikiLink Uniform_k_21_polytope.
- 4_21_polytope wikiPageWikiLink Uniform_polytope.
- 4_21_polytope wikiPageWikiLink Vertex_figure.
- 4_21_polytope wikiPageWikiLink Wythoff_construction.
- 4_21_polytope wikiPageWikiLink File:1_42_polytope_E6_Coxeter_plane.svg.