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- 1_22_polytope abstract "In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group. It was first published in E. L. Elte's 1912 listing of semiregular polytopes, named as V72 (for its 72 vertices).Its Coxeter symbol is 122, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 1-node sequence. There are two rectifications of the 122, construcated by positions points on the elements of 122. The rectified 122 is constructed by points at the mid-edges of the 122. The birectified 122 is constructed by points at the triangle face centers of the 122.These polytopes are from a family of 39 convex uniform polytopes in 6-dimensions, made of uniform polytope facets and vertex figures, defined by all permutations of rings in this Coxeter-Dynkin diagram: File: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.".
- 1_22_polytope thumbnail Up_1_22_t0_E6.svg?width=300.
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- 1_22_polytope wikiPageLength "14070".
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- 1_22_polytope wikiPageRevisionID "701324295".
- 1_22_polytope wikiPageWikiLink 16-cell.
- 1_22_polytope wikiPageWikiLink 24-cell.
- 1_22_polytope wikiPageWikiLink 2_21_polytope.
- 1_22_polytope wikiPageWikiLink 2_22_honeycomb.
- 1_22_polytope wikiPageWikiLink 5-cell.
- 1_22_polytope wikiPageWikiLink 5-demicube.
- 1_22_polytope wikiPageWikiLink Category:6-polytopes.
- 1_22_polytope wikiPageWikiLink Convex_polytope.
- 1_22_polytope wikiPageWikiLink Coxeter_element.
- 1_22_polytope wikiPageWikiLink Coxeter_group.
- 1_22_polytope wikiPageWikiLink Coxeter–Dynkin_diagram.
- 1_22_polytope wikiPageWikiLink Dodecagon.
- 1_22_polytope wikiPageWikiLink Dynkin_diagram.
- 1_22_polytope wikiPageWikiLink E6_(mathematics).
- 1_22_polytope wikiPageWikiLink Emanuel_Lodewijk_Elte.
- 1_22_polytope wikiPageWikiLink Geometry.
- 1_22_polytope wikiPageWikiLink Gosset–Elte_figures.
- 1_22_polytope wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- 1_22_polytope wikiPageWikiLink Hyperplane.
- 1_22_polytope wikiPageWikiLink Isohedral_figure.
- 1_22_polytope wikiPageWikiLink List_of_E6_polytopes.
- 1_22_polytope wikiPageWikiLink Petrie_polygon.
- 1_22_polytope wikiPageWikiLink Projection_(linear_algebra).
- 1_22_polytope wikiPageWikiLink Rectified_5-cubes.
- 1_22_polytope wikiPageWikiLink Rectified_5-simplexes.
- 1_22_polytope wikiPageWikiLink Schläfli_symbol.
- 1_22_polytope wikiPageWikiLink Simple_Lie_group.
- 1_22_polytope wikiPageWikiLink Tetrahedron.
- 1_22_polytope wikiPageWikiLink Triangle.
- 1_22_polytope wikiPageWikiLink Uniform_1_k2_polytope.
- 1_22_polytope wikiPageWikiLink Uniform_5-polytope.
- 1_22_polytope wikiPageWikiLink Uniform_6-polytope.
- 1_22_polytope wikiPageWikiLink Uniform_honeycomb.
- 1_22_polytope wikiPageWikiLink Uniform_polytope.
- 1_22_polytope wikiPageWikiLink Vertex_figure.
- 1_22_polytope wikiPageWikiLink Voronoi_diagram.
- 1_22_polytope wikiPageWikiLink Wythoff_construction.
- 1_22_polytope wikiPageWikiLink sup%3E.
- 1_22_polytope wikiPageWikiLink File:2-simplex_t0.svg.
- 1_22_polytope wikiPageWikiLink File:24-cell_t3_B3.svg.
- 1_22_polytope wikiPageWikiLink File:24-cell_t3_F4.svg.
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- 1_22_polytope wikiPageWikiLink File:4-simplex_t0.svg.
- 1_22_polytope wikiPageWikiLink File:5-simplex_t2.svg.
- 1_22_polytope wikiPageWikiLink File:Cross_graph_4.svg.
- 1_22_polytope wikiPageWikiLink File:Demipenteract_graph_ortho.svg.
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- 1_22_polytope wikiPageWikiLink File:Up_1_22_t2_D5.svg.
- 1_22_polytope wikiPageWikiLink File:Up_1_22_t2_E6.svg.
- 1_22_polytope wikiPageWikiLink File:Up_2_21_t0_E6.svg.
- 1_22_polytope wikiPageWikiLink File:Up_2_21_t1_E6.svg.
- 1_22_polytope wikiPageWikiLinkText "1 22 polytope".
- 1_22_polytope wikiPageWikiLinkText "1 22 polytope#Birectified 1 22 polytope".
- 1_22_polytope wikiPageWikiLinkText "1 22 polytope#Rectified 1 22 polytope".
- 1_22_polytope wikiPageWikiLinkText "1_22 polytope".
- 1_22_polytope wikiPageWikiLinkText "1_22_polytope#Rectified_1_22_polytope".
- 1_22_polytope wikiPageUsesTemplate Template:1_k2_polytopes.
- 1_22_polytope wikiPageUsesTemplate Template:Brackets.
- 1_22_polytope wikiPageUsesTemplate Template:CDD.
- 1_22_polytope wikiPageUsesTemplate Template:Citation.
- 1_22_polytope wikiPageUsesTemplate Template:KlitzingPolytopes.
- 1_22_polytope wikiPageUsesTemplate Template:Polytopes.
- 1_22_polytope wikiPageUsesTemplate Template:Reflist.
- 1_22_polytope subject Category:6-polytopes.
- 1_22_polytope hypernym Polytope.
- 1_22_polytope type Polytope.
- 1_22_polytope type Redirect.
- 1_22_polytope comment "In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group. It was first published in E. L. Elte's 1912 listing of semiregular polytopes, named as V72 (for its 72 vertices).Its Coxeter symbol is 122, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 1-node sequence. There are two rectifications of the 122, construcated by positions points on the elements of 122.".
- 1_22_polytope label "1 22 polytope".
- 1_22_polytope sameAs Q4595914.
- 1_22_polytope sameAs m.04jc9fj.
- 1_22_polytope sameAs Q4595914.
- 1_22_polytope wasDerivedFrom 1_22_polytope?oldid=701324295.
- 1_22_polytope depiction Up_1_22_t0_E6.svg.
- 1_22_polytope isPrimaryTopicOf 1_22_polytope.