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- Pentellated_8-simplexes abstract "In eight-dimensional geometry, a pentellated 8-simplex is a convex uniform 8-polytope with 5th order truncations of the regular 8-simplex.There are two unique pentellations of the 8-simplex. Including truncations, canetellations, runcinations, and sterications, there are 32 more pentellations. These polytopes are a part of a family 135 uniform 8-polytopes with A8 symmetry. A8, [38] has order 9 factorial symmetry, or 362880. The bipentalled form is symmetrically ringed, doubling the symmetry order to 725760, and is represented the double-bracketed group [[38]]. The A8 Coxeter plane projection shows order [9] symmetry for the pentellated 8-simplex, while the bipentellated 8-simple is doubled to [18] symmetry.".
- Pentellated_8-simplexes thumbnail 8-simplex_t0.svg?width=300.
- Pentellated_8-simplexes wikiPageExternalLink topes.htm.
- Pentellated_8-simplexes wikiPageExternalLink glossary.htm.
- Pentellated_8-simplexes wikiPageExternalLink productCd-0471010030.html.
- Pentellated_8-simplexes wikiPageID "28824713".
- Pentellated_8-simplexes wikiPageLength "5709".
- Pentellated_8-simplexes wikiPageOutDegree "40".
- Pentellated_8-simplexes wikiPageRevisionID "682465273".
- Pentellated_8-simplexes wikiPageWikiLink 8-polytope.
- Pentellated_8-simplexes wikiPageWikiLink 8-simplex.
- Pentellated_8-simplexes wikiPageWikiLink Bipentellated_9-orthoplex.
- Pentellated_8-simplexes wikiPageWikiLink Cartesian_coordinate.
- Pentellated_8-simplexes wikiPageWikiLink Cartesian_coordinate_system.
- Pentellated_8-simplexes wikiPageWikiLink Category:8-polytopes.
- Pentellated_8-simplexes wikiPageWikiLink Convex_polytope.
- Pentellated_8-simplexes wikiPageWikiLink Coxeter-Dynkin_diagram.
- Pentellated_8-simplexes wikiPageWikiLink Coxeter_element.
- Pentellated_8-simplexes wikiPageWikiLink Coxeter_group.
- Pentellated_8-simplexes wikiPageWikiLink Coxeter_plane.
- Pentellated_8-simplexes wikiPageWikiLink Coxeter–Dynkin_diagram.
- Pentellated_8-simplexes wikiPageWikiLink Facet-transitive.
- Pentellated_8-simplexes wikiPageWikiLink Facet_(geometry).
- Pentellated_8-simplexes wikiPageWikiLink Factorial.
- Pentellated_8-simplexes wikiPageWikiLink Geometry.
- Pentellated_8-simplexes wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Pentellated_8-simplexes wikiPageWikiLink Isohedral_figure.
- Pentellated_8-simplexes wikiPageWikiLink Norman_Johnson_(mathematician).
- Pentellated_8-simplexes wikiPageWikiLink Orthogonal_projection.
- Pentellated_8-simplexes wikiPageWikiLink Pentellated_7-simplex.
- Pentellated_8-simplexes wikiPageWikiLink Pentellated_7-simplexes.
- Pentellated_8-simplexes wikiPageWikiLink Pentellated_9-orthoplex.
- Pentellated_8-simplexes wikiPageWikiLink Pentellation.
- Pentellated_8-simplexes wikiPageWikiLink Projection_(linear_algebra).
- Pentellated_8-simplexes wikiPageWikiLink Schläfli_symbol.
- Pentellated_8-simplexes wikiPageWikiLink Truncation_(geometry).
- Pentellated_8-simplexes wikiPageWikiLink Uniform_6-polytope.
- Pentellated_8-simplexes wikiPageWikiLink Uniform_8-polytope.
- Pentellated_8-simplexes wikiPageWikiLink Vertex_figure.
- Pentellated_8-simplexes wikiPageWikiLink sup%3E.
- Pentellated_8-simplexes wikiPageWikiLink sup%3E.
- Pentellated_8-simplexes wikiPageWikiLink File:8-simplex_t0.svg.
- Pentellated_8-simplexes wikiPageWikiLink File:8-simplex_t05.svg.
- Pentellated_8-simplexes wikiPageWikiLink File:8-simplex_t16.svg.
- Pentellated_8-simplexes wikiPageWikiLinkText "Pentellated 8-simplexes#Bipentellated 8-simplex".
- Pentellated_8-simplexes wikiPageWikiLinkText "Pentellated 8-simplexes#Pentellated 8-simplex".
- Pentellated_8-simplexes anchor "Cross".
- Pentellated_8-simplexes hasPhotoCollection Pentellated_8-simplexes.
- Pentellated_8-simplexes title "Cross polytope".
- Pentellated_8-simplexes wikiPageUsesTemplate Template:8-simplex2_Coxeter_plane_graphs.
- Pentellated_8-simplexes wikiPageUsesTemplate Template:8-simplex_Coxeter_plane_graphs.
- Pentellated_8-simplexes wikiPageUsesTemplate Template:CDD.
- Pentellated_8-simplexes wikiPageUsesTemplate Template:Enneazetton_family.
- Pentellated_8-simplexes wikiPageUsesTemplate Template:GlossaryForHyperspace.
- Pentellated_8-simplexes wikiPageUsesTemplate Template:KlitzingPolytopes.
- Pentellated_8-simplexes wikiPageUsesTemplate Template:Polytopes.
- Pentellated_8-simplexes wikiPageUsesTemplate Template:Reflist.
- Pentellated_8-simplexes subject Category:8-polytopes.
- Pentellated_8-simplexes hypernym Polytope.
- Pentellated_8-simplexes comment "In eight-dimensional geometry, a pentellated 8-simplex is a convex uniform 8-polytope with 5th order truncations of the regular 8-simplex.There are two unique pentellations of the 8-simplex. Including truncations, canetellations, runcinations, and sterications, there are 32 more pentellations. These polytopes are a part of a family 135 uniform 8-polytopes with A8 symmetry. A8, [38] has order 9 factorial symmetry, or 362880.".
- Pentellated_8-simplexes label "Pentellated 8-simplexes".
- Pentellated_8-simplexes sameAs m.0dddzt2.
- Pentellated_8-simplexes sameAs Q7165142.
- Pentellated_8-simplexes sameAs Q7165142.
- Pentellated_8-simplexes wasDerivedFrom Pentellated_8-simplexes?oldid=682465273.
- Pentellated_8-simplexes depiction 8-simplex_t0.svg.
- Pentellated_8-simplexes isPrimaryTopicOf Pentellated_8-simplexes.