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- Pentagrammic-order_600-cell_honeycomb abstract "In the geometry of hyperbolic 4-space, the pentagrammic-order 600-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {3,3,5,5/2}, it has five 600-cells around each face in a pentagrammic arrangement. It is dual to the small stellated 120-cell honeycomb. It can be considered the higher-dimensional analogue of the 4-dimensional icosahedral 120-cell and the 3-dimensional great dodecahedron. It is related to the order-5 icosahedral 120-cell honeycomb and great 120-cell honeycomb: the icosahedral 120-cells and great 120-cells in each honeycomb are replaced by the 600-cells that are their convex hulls, thus forming the pentagrammic-order 600-cell honeycomb.This honeycomb can also be constructed by taking the order-5 5-cell honeycomb and replacing clusters of 600 5-cells meeting at a vertex with 600-cells. Each 5-cell belongs to five such clusters, and thus the pentagrammic-order 600-cell honeycomb has density 5.".
- Pentagrammic-order_600-cell_honeycomb thumbnail Schlegel_wireframe_600-cell_vertex-centered.png?width=300.
- Pentagrammic-order_600-cell_honeycomb wikiPageID "41964116".
- Pentagrammic-order_600-cell_honeycomb wikiPageLength "2916".
- Pentagrammic-order_600-cell_honeycomb wikiPageOutDegree "43".
- Pentagrammic-order_600-cell_honeycomb wikiPageRevisionID "647895280".
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink 5-cell.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink 600-cell.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Category:5-polytopes.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Category:Honeycombs_(geometry).
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Coxeter_group.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Coxeter–Dynkin_diagram.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Density_(polytope).
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Dual_polyhedron.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Geometry.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Great_120-cell.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Great_120-cell_honeycomb.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Great_dodecahedron.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Honeycomb_(geometry).
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Hyperbolic_space.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Icosahedral_120-cell.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink List_of_regular_polytopes_and_compounds.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Order-5_5-cell_honeycomb.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Order-5_icosahedral_120-cell_honeycomb.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Pentagram.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Regular_Polytopes_(book).
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Regular_polytope.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Schläfli_symbol.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Small_stellated_120-cell_honeycomb.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Tetrahedron.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Triangle.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink Vertex_figure.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink File:Great_dodecahedron.png.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink File:Ortho_solid_007-uniform_polychoron_35p-t0.png.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink File:Pentagram.svg.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink File:Regular_polygon_3_annotated.svg.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink File:Schlegel_wireframe_600-cell_vertex-centered.png.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLink File:Tetrahedron.png.
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLinkText "Order-5/2 600-cell".
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLinkText "Pentagrammic-order 600-cell honeycomb".
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLinkText "pentagrammic-order 600-cell honeycomb".
- Pentagrammic-order_600-cell_honeycomb wikiPageWikiLinkText "{3,3,5,5/2}".
- Pentagrammic-order_600-cell_honeycomb wikiPageUsesTemplate Template:CDD.
- Pentagrammic-order_600-cell_honeycomb wikiPageUsesTemplate Template:Geometry-stub.
- Pentagrammic-order_600-cell_honeycomb wikiPageUsesTemplate Template:Overline.
- Pentagrammic-order_600-cell_honeycomb subject Category:5-polytopes.
- Pentagrammic-order_600-cell_honeycomb subject Category:Honeycombs_(geometry).
- Pentagrammic-order_600-cell_honeycomb comment "In the geometry of hyperbolic 4-space, the pentagrammic-order 600-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {3,3,5,5/2}, it has five 600-cells around each face in a pentagrammic arrangement. It is dual to the small stellated 120-cell honeycomb. It can be considered the higher-dimensional analogue of the 4-dimensional icosahedral 120-cell and the 3-dimensional great dodecahedron.".
- Pentagrammic-order_600-cell_honeycomb label "Pentagrammic-order 600-cell honeycomb".
- Pentagrammic-order_600-cell_honeycomb sameAs Q17078130.
- Pentagrammic-order_600-cell_honeycomb sameAs m.0_s31cc.
- Pentagrammic-order_600-cell_honeycomb sameAs Q17078130.
- Pentagrammic-order_600-cell_honeycomb wasDerivedFrom Pentagrammic-order_600-cell_honeycomb?oldid=647895280.
- Pentagrammic-order_600-cell_honeycomb depiction Schlegel_wireframe_600-cell_vertex-centered.png.
- Pentagrammic-order_600-cell_honeycomb isPrimaryTopicOf Pentagrammic-order_600-cell_honeycomb.