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- 57-cell abstract "In mathematics, the 57-cell (pentacontakaiheptachoron) is a self-dual abstract regular 4-polytope (four-dimensional polytope). Its 57 cells are hemi-dodecahedra. It also has 57 vertices, 171 edges and 171 two-dimensional faces. Its symmetry group is the projective special linear group L2(19), so it has 3420 symmetries. It has Schläfli symbol {5,3,5} with 5 hemi-dodecahedral cells around each edge. It was discovered by H. S. M. Coxeter (1982).".
- 57-cell thumbnail Perkel_graph_embeddings.svg?width=300.
- 57-cell wikiPageExternalLink 2007_SIGGRAPH_57Cell.pdf.
- 57-cell wikiPageExternalLink 2007_SIGGRAPH_57Cell.ppt.
- 57-cell wikiPageExternalLink Perkel.html.
- 57-cell wikiPageExternalLink books?id=JfmlMYe6MJgC&pg=PA185.
- 57-cell wikiPageID "948622".
- 57-cell wikiPageLength "4016".
- 57-cell wikiPageOutDegree "29".
- 57-cell wikiPageRevisionID "642532163".
- 57-cell wikiPageWikiLink 11-cell.
- 57-cell wikiPageWikiLink 120-cell.
- 57-cell wikiPageWikiLink 4-polytope.
- 57-cell wikiPageWikiLink Abstract_polytope.
- 57-cell wikiPageWikiLink Canadian_Journal_of_Mathematics.
- 57-cell wikiPageWikiLink Category:Four-dimensional_geometry.
- 57-cell wikiPageWikiLink Category:Polychora.
- 57-cell wikiPageWikiLink Cell_(geometry).
- 57-cell wikiPageWikiLink Distance-regular_graph.
- 57-cell wikiPageWikiLink Dual_polyhedron.
- 57-cell wikiPageWikiLink Duality_(mathematics).
- 57-cell wikiPageWikiLink Face_(geometry).
- 57-cell wikiPageWikiLink Geometriae_Dedicata.
- 57-cell wikiPageWikiLink Hemi-dodecahedron.
- 57-cell wikiPageWikiLink Hemi-icosahedron.
- 57-cell wikiPageWikiLink Intersection_array.
- 57-cell wikiPageWikiLink Mathematics.
- 57-cell wikiPageWikiLink Order-5_dodecahedral_honeycomb.
- 57-cell wikiPageWikiLink Perkel_graph.
- 57-cell wikiPageWikiLink Projective_linear_group.
- 57-cell wikiPageWikiLink Projective_special_linear_group.
- 57-cell wikiPageWikiLink Schläfli_symbol.
- 57-cell wikiPageWikiLink Self-dual_polytope.
- 57-cell wikiPageWikiLink Symmetry_group.
- 57-cell wikiPageWikiLink Vertex_figure.
- 57-cell wikiPageWikiLink File:Hemi-dodecahedron.png.
- 57-cell wikiPageWikiLink File:Perkel_graph_embeddings.svg.
- 57-cell wikiPageWikiLinkText "57-cell".
- 57-cell authorlink "Harold Scott MacDonald Coxeter".
- 57-cell first "H. S. M.".
- 57-cell hasPhotoCollection 57-cell.
- 57-cell last "Coxeter".
- 57-cell title "Perkel graph".
- 57-cell urlname "PerkelGraph".
- 57-cell wikiPageUsesTemplate Template:Citation.
- 57-cell wikiPageUsesTemplate Template:Harvs.
- 57-cell wikiPageUsesTemplate Template:KlitzingPolytopes.
- 57-cell wikiPageUsesTemplate Template:Mathworld.
- 57-cell wikiPageUsesTemplate Template:Polychora-stub.
- 57-cell year "1982".
- 57-cell subject Category:Four-dimensional_geometry.
- 57-cell subject Category:Polychora.
- 57-cell hypernym Polytope.
- 57-cell type Polytope.
- 57-cell comment "In mathematics, the 57-cell (pentacontakaiheptachoron) is a self-dual abstract regular 4-polytope (four-dimensional polytope). Its 57 cells are hemi-dodecahedra. It also has 57 vertices, 171 edges and 171 two-dimensional faces. Its symmetry group is the projective special linear group L2(19), so it has 3420 symmetries. It has Schläfli symbol {5,3,5} with 5 hemi-dodecahedral cells around each edge. It was discovered by H. S. M. Coxeter (1982).".
- 57-cell label "57-cell".
- 57-cell sameAs 57-ĉelo.
- 57-cell sameAs m.03sjrp.
- 57-cell sameAs Q4640774.
- 57-cell sameAs Q4640774.
- 57-cell wasDerivedFrom 57-cell?oldid=642532163.
- 57-cell depiction Perkel_graph_embeddings.svg.
- 57-cell isPrimaryTopicOf 57-cell.