About: Uniform honeycombs in hyperbolic space

Property	Value
dbo:description	uniform tessellation of uniform polyhedral cells (en)
dbo:thumbnail	wiki-commons:Special:FilePath/H3_534_CC_center.png?width=300
dbo:wikiPageExternalLink	https://arxiv.org/abs/math/0212010 http://cms.math.ca/cjm/a145822 http://www.maa.org/reviews/shapeofspace.html https://web.archive.org/web/20190225204136/http:/pdfs.semanticscholar.org/67fa/5c924fc515d05640308fe68f1d0974a3705c.pdf https://link.springer.com/article/10.1007%2FBF01238563 http://www.sciencedirect.com/science/article/pii/S0024379501004773
dbo:wikiPageWikiLink	dbr:Truncated_cube dbr:Truncated_octahedron dbr:Truncated_tetrahedron dbr:James_E._Humphreys dbr:Jeffrey_Weeks_(mathematician) dbr:Pentagonal_antiprism dbr:Tetrahedrally_diminished_dodecahedron dbr:Coxeter_group dbr:File:Octahedron.png dbr:File:Cuboctahedron.png dbr:File:Hexagonal_prism.png dbr:File:Hexahedron.png dbr:File:Triangular_prism.png dbr:File:Truncated_octahedron.png dbr:File:Truncated_tetrahedron.png dbr:File:Uniform_polyhedron-33-t0.png dbr:File:Uniform_polyhedron-33-t012.png dbr:File:Uniform_polyhedron-33-t1.png dbr:File:Icosidodecahedron.png dbr:File:Uniform_polyhedron-43-h01.svg dbr:File:H3_5353-0110_center_ultrawide.png dbr:File:H3_5353-1010_center_ultrawide.png dbr:File:H3_5353-1100_center_ultrawide.png dbr:File:H3_5353-1101_center_ultrawide.png dbr:File:H3_5353-1111_center_ultrawide.png dbr:File:Uniform_t0123_5353_honeycomb_verf.png dbr:File:Uniform_t012_5353_honeycomb_verf.png dbr:File:Uniform_t01_5353_honeycomb_verf.png dbr:File:Uniform_t02_5353_honeycomb_verf.png dbr:File:Uniform_t0_5353_honeycomb_verf.png dbr:File:Uniform_t12_5353_honeycomb_verf.png dbr:File:Cantellated_icosahedral_honeycomb_verf.png dbr:File:Cantitruncated_icosahedral_honeycomb_verf.png dbr:File:H3_353-0011_center_ultrawide.png dbr:File:H3_353-0110_center_ultrawide.png dbr:File:H3_353-1001_center_ultrawide.png dbr:File:H3_353-1010_center_ultrawide.png dbr:File:H3_353-1101_center_ultrawide.png dbr:File:H3_353-1110_center_ultrawide.png dbr:File:H3_353-1111_center_ultrawide.png dbr:File:H3_353-pd_center_ultrawide.png dbr:File:H3_353_CC_center.png dbr:File:H3_353_CC_center_0100.png dbr:File:Order-3_icosahedral_honeycomb_verf.svg dbr:File:Partial_truncation_order-3_icosahedral_honeycomb_verf.png dbr:File:Rectified_icosahedral_honeycomb_verf.png dbr:File:Runcinated_icosahedral_honeycomb_verf.png dbr:File:Runcitruncated_icosahedral_honeycomb_verf.png dbr:File:Snub_icosahedral_honeycomb_verf.png dbr:File:Truncated_icosahedral_honeycomb_verf.png dbr:File:H3_4353-0010_center_ultrawide.png dbr:File:Uniform_t0_5343_honeycomb_verf.png dbr:Tessellation dbr:Truncated_dodecahedron dbr:Schläfli_symbol dbr:Truncated_icosidodecahedron dbr:Vertex_figure dbr:Pentagonal_prism dbr:Regular_Polytopes_(book) dbr:Snub_cube dbr:Commutator_subgroup dbr:Snub_dodecahedron dbr:Truncated_icosahedron dbr:Truncated_cuboctahedron dbr:Coxeter_notation dbr:Goursat_tetrahedron dbr:Square_antiprism dbr:ArXiv dbr:List_of_regular_polytopes dbr:Rhombicosidodecahedron dbr:Cube dbc:Honeycombs_(geometry) dbr:Triangular_prism dbr:Dodecahedron dbr:Icosidodecahedron dbr:Octagonal_prism dbr:Trigonal_trapezohedron dbr:Norman_Johnson_(mathematician) dbr:Icosahedron dbr:Octahedron dbr:Pseudoicosahedron dbr:Alternation_(geometry) dbr:Facet_(geometry) dbr:PDF dbr:Triangular_bipyramid dbr:Permutation dbr:Tetrahedron dbr:Fundamental_domain dbr:Hyperbolic_space dbr:Uniform_tilings_in_hyperbolic_plane dbr:Cuboctahedron dbr:Tridiminished_icosahedron dbr:Decagonal_prism dbr:Hexagonal_prism dbr:Order-4_dodecahedral_honeycomb dbr:Order-5_cubic_honeycomb dbr:Order-5_dodecahedral_honeycomb dbr:Order-8_square_tiling dbr:Order-8_triangular_tiling dbr:Rhombicuboctahedron dbr:Hyperbolic_geometry dbr:Wythoff_construction dbr:Uniform_polyhedron dbr:Convex_uniform_honeycomb dbr:Icosahedral_honeycomb dbr:Ruth_Kellerhals dbr:Regular_skew_polyhedron dbr:Cell_(geometry) dbr:Cubic-icosahedral_honeycomb dbr:Cubic-octahedral_honeycomb dbr:Dodecahedral-icosahedral_honeycomb dbr:Hyperbolic_tetrahedral-octahedral_honeycomb dbr:Octahedral-dodecahedral_honeycomb dbr:Tetrahedral-cubic_honeycomb dbr:Tetrahedral-dodecahedral_honeycomb dbr:Tetrahedral-icosahedral_honeycomb dbr:Coxeter_diagram dbr:Omnisnub_cubic-octahedral_honeycomb dbr:Omnisnub_icosahedral_honeycomb dbr:Omnitruncated_cubic-octahedral_honeycomb dbr:Omnitruncated_dodecahedral-icosahedral_honeycomb dbr:Omnitruncated_icosahedral_honeycomb dbr:Omnitruncated_order-5_cubic_honeycomb dbr:Omnitruncated_order-5_dodecahedral_honeycomb dbr:Poincaré_ball_model dbr:Hemipolyhedra dbr:File:Icosahedron.png dbr:File:Cube_rotorotational_symmetry.png dbr:File:Rhombicuboctahedron_uniform_edge_coloring.png dbr:File:Tetragonal_prism.png dbr:File:Uniform_polyhedron-33-s012.png dbr:File:Uniform_polyhedron_222-t012.png dbr:File:H3_4343-0110_center_ultrawide.png dbr:File:H3_4343-1010_center_ultrawide.png dbr:File:H3_4343-1110_center_ultrawide.png dbr:File:H3_4343-1111_center_ultrawide.png dbr:File:H3_4353-1000_center_ultrawide.png dbr:File:Uniform_t0123_4343_honeycomb_verf.png dbr:File:Uniform_t012_4343_honeycomb_verf.png dbr:File:Uniform_t01_4343_honeycomb_verf.png dbr:File:Uniform_t02_4343_honeycomb_verf.png dbr:File:Uniform_t0_4343_honeycomb_verf.png dbr:File:Uniform_t12_4343_honeycomb_verf.png dbr:File:Uniform_t2_5343_honeycomb_verf.png dbr:File:H3_4333-0100_center_ultrawide.png dbr:File:Uniform_t2_4333_honeycomb_verf.png dbr:File:H3_435_CC_center.png dbr:File:H3_534_CC_center.png dbr:File:H3_535_CC_center.png dbr:Alternated_order-5_cubic_honeycomb dbr:File:Pentagonal_antiprism.png dbr:File:Square_antiprism.png dbr:File:Great_rhombicosidodecahedron.png dbr:File:Small_rhombicosidodecahedron.png dbr:Cyclotruncated_cube-tetrahedron_honeycomb dbr:Cyclotruncated_cubic-icosahedral_honeycomb dbr:Cyclotruncated_dodecahedral-octahedral_honeycomb dbr:Cyclotruncated_dodecahedral-tetrahedral_honeycomb dbr:Cyclotruncated_octahedral-dodecahedral_honeycomb dbr:Cyclotruncated_tetrahedral-cubic_honeycomb dbr:Cyclotruncated_tetrahedral-dodecahedral_honeycomb dbr:Cyclotruncated_tetrahedral-icosahedral_honeycomb dbr:Cyclotruncated_tetrahedral-octahedral_honeycomb dbr:File:Alternated_cantitruncated_order-4_dodecahedral_honeycomb_verf.png dbr:File:Bicantellated_alternated_order-5_cubic_honeycomb_verf.png dbr:File:Bitruncated_order-5_cubic_honeycomb_verf.png dbr:File:Cantellated_alternated_order-5_cubic_honeycomb_verf.png dbr:File:Cantitruncated_alternated_order-5_cubic_honeycomb_verf.png dbr:File:Cyclosnub_cubic-octahedral_honeycomb_vertex_figure.png dbr:File:H3_4333-0011_center_ultrawide.png dbr:File:H3_4333-0110_center_ultrawide.png dbr:File:H3_4333-0111_center_ultrawide.png dbr:File:H3_4333-1010_center_ultrawide.png dbr:File:H3_4333-1100_center_ultrawide.png dbr:File:H3_4333-1110_center_ultrawide.png dbr:File:H3_4333-1111_center_ultrawide.png dbr:File:H3_4343-1000_center_ultrawide.png dbr:File:H3_4353-0011_center_ultrawide.png dbr:File:H3_4353-0101_center_ultrawide.png dbr:File:H3_4353-0110_center_ultrawide.png dbr:File:H3_4353-0111_center_ultrawide.png dbr:File:H3_4353-1100_center_ultrawide.png dbr:File:H3_4353-1110_center_ultrawide.png dbr:File:H3_4353-1111_center_ultrawide.png dbr:File:H3_5333-0011_center_ultrawide.png dbr:File:H3_5333-0110_center_ultrawide.png dbr:File:H3_5333-0111_center_ultrawide.png dbr:File:H3_5333-1010_center_ultrawide.png dbr:File:H3_5333-1100_center_ultrawide.png dbr:File:H3_5333-1110_center_ultrawide.png dbr:File:H3_5333-1111_center_ultrawide.png dbr:File:H3_5353-1000_center_ultrawide.png dbr:File:Rectified_alternated_order-5_cubic_honeycomb_verf.png dbr:File:Runcicantellated_alternated_order-5_cubic_honeycomb_verf.png dbr:File:Snub_4333_honeycomb_verf.png dbr:File:Snub_4343_honeycomb_verf.png dbr:File:Snub_5333_honeycomb_verf.png dbr:File:Snub_5343_honeycomb_verf.png dbr:File:Snub_5353_honeycomb_verf.png dbr:File:Snub_order-4_dodecahedral_honeycomb_verf.png dbr:File:Snub_order-5_dodecahedral_honeycomb_verf.png dbr:File:Uniform_t012_4333_honeycomb_verf.png dbr:File:Uniform_t012_5333_honeycomb_verf.png dbr:File:Uniform_t012_5343_honeycomb_verf.png dbr:File:Uniform_t02_4333_honeycomb_verf.png dbr:File:Uniform_t02_5333_honeycomb_verf.png dbr:File:Uniform_t02_5343_honeycomb_verf.png dbr:File:Uniform_t123_4333_honeycomb_verf.png dbr:File:Uniform_t123_5333_honeycomb_verf.png dbr:File:Uniform_t123_5343_honeycomb_verf.png dbr:File:Uniform_t12_4333_honeycomb_verf.png dbr:File:Uniform_t12_5333_honeycomb_verf.png dbr:File:Uniform_t23_5343_honeycomb_verf.png dbr:Omnisnub_dodecahedral-icosahedral_honeycomb dbr:Omnisnub_octahedral-dodecahedral_honeycomb dbr:Omnisnub_order-5_cubic_honeycomb dbr:Omnisnub_order-5_dodecahedral_honeycomb dbr:Omnisnub_tetrahedral-cubic_honeycomb dbr:Omnisnub_tetrahedral-dodecahedral_honeycomb dbr:Omnitruncated_octahedral-dodecahedral_honeycomb dbr:Omnitruncated_tetrahedral-cubic_honeycomb dbr:Omnitruncated_tetrahedral-dodecahedral_honeycomb dbr:Rectified_octahedral-dodecahedral_honeycomb dbr:Rectified_tetrahedral-cubic_honeycomb dbr:Rectified_tetrahedral-dodecahedral_honeycomb dbr:Runcic_snub_rectified_order-4_dodecahedral_honeycomb dbr:Truncated_cubic-dodecahedral_honeycomb dbr:Truncated_octahedral-dodecahedral_honeycomb dbr:Truncated_tetrahedral-cubic_honeycomb dbr:Truncated_tetrahedral-dodecahedral_honeycomb dbr:Truncated_tetrahedral-icosahedral_honeycomb dbr:Truncated_tetrahedral-octahedral_honeycomb dbr:Bitruncated_icosahedral_honeycomb dbr:Bitruncated_order-5_cubic_honeycomb dbr:Bitruncated_order-5_dodecahedral_honeycomb dbr:File:Uniform_polyhedron-33-t02.png dbr:File:Great_rhombicuboctahedron.png dbr:File:Octagonal_prism.png dbr:File:Small_rhombicuboctahedron.png dbr:File:Truncated_hexahedron.png dbr:File:Uniform_polyhedron-33-t2.png dbr:Cantellated_icosahedral_honeycomb dbr:Cantellated_order-4_dodecahedral_honeycomb dbr:Cantellated_order-5_cubic_honeycomb dbr:Cantellated_order-5_dodecahedral_honeycomb dbr:Cantic_order-5_cubic_honeycomb dbr:Cantitruncated_icosahedral_honeycomb dbr:Cantitruncated_order-4_dodecahedral_honeycomb dbr:Cantitruncated_order-5_cubic_honeycomb dbr:Cantitruncated_order-5_dodecahedral_honeycomb dbr:Cyclosnub_octahedral-cubic_honeycomb dbr:Cyclotruncated_cubic-octahedral_honeycomb dbr:Cyclotruncated_dodecahedral-icosahedral_honeycomb dbr:Cyclotruncated_icosahedral-dodecahedral_honeycomb dbr:Cyclotruncated_octahedral-cubic_honeycomb dbr:Rectified_cubic-octahedral_honeycomb dbr:Rectified_dodecahedral-icosahedral_honeycomb dbr:Rectified_icosahedral_honeycomb dbr:Rectified_order-4_dodecahedral_honeycomb dbr:Rectified_order-5_cubic_honeycomb dbr:Rectified_order-5_dodecahedral_honeycomb dbr:Dodecahedral dbr:Small_rhombicuboctahedron dbr:Snub_rectified_order-4_dodecahedral_honeycomb dbr:H.S.M._Coxeter dbr:Ideal_vertex dbr:Coxeter-Dynkin_diagram dbr:Partially_diminished_icosahedral_honeycomb dbr:File:Dodecahedron.png dbr:File:Tetrahedron.png dbr:File:Pentagonal_prism.png dbr:File:Bitruncated_icosahedral_honeycomb_verf.png dbr:File:Bitruncated_order-5_dodecahedral_honeycomb_verf.png dbr:File:Truncated_dodecahedron.png dbr:File:Truncated_icosahedron.png dbr:File:Snub_hexahedron.png dbr:File:Omnitruncated_alternated_order-5_cubic_honeycomb_verf.png dbr:File:Omnitruncated_icosahedral_honeycomb_verf.png dbr:File:Omnitruncated_order-4_dodecahedral_honeycomb_verf.png dbr:File:Omnitruncated_order-5_dodecahedral_honeycomb_verf.png dbr:File:Uniform_t0123_4333_honeycomb_verf.png dbr:File:Uniform_t0123_5333_honeycomb_verf.png dbr:File:Uniform_t0123_5343_honeycomb_verf.png dbr:File:Decagonal_prism.png dbr:Runcic_order-5_cubic_honeycomb dbr:Runcicantic_order-5_cubic_honeycomb dbr:Runcinated_icosahedral_honeycomb dbr:Runcinated_order-5_cubic_honeycomb dbr:Runcinated_order-5_dodecahedral_honeycomb dbr:Runcitruncated_icosahedral_honeycomb dbr:Runcitruncated_order-4_dodecahedral_honeycomb dbr:Runcitruncated_order-5_cubic_honeycomb dbr:Runcitruncated_order-5_dodecahedral_honeycomb dbr:Truncated_cubic-octahedral_honeycomb dbr:Truncated_dodecahedral-icosahedral_honeycomb dbr:Truncated_icosahedral_honeycomb dbr:Truncated_order-4_dodecahedral_honeycomb dbr:Truncated_order-5_cubic_honeycomb dbr:Truncated_order-5_dodecahedral_honeycomb dbr:File:Snub_dodecahedron_cw.png
dbp:date	2015-04-02 (xsd:date)
dbp:url	https://web.archive.org/web/20150402131943/http:/cms.math.ca/cjm/a145822
dbp:wikiPageUsesTemplate	dbt:Commons_category dbt:Reflist dbt:Math dbt:Clear dbt:Arxiv dbt:Further dbt:CDD dbt:Isbn dbt:Webarchive dbt:KlitzingPolytopes dbt:Unsolved dbt:Short_description
dct:subject	dbc:Honeycombs_(geometry)
gold:hypernym	dbr:Tessellation
rdfs:label	Uniform honeycombs in hyperbolic space (en)
owl:sameAs	freebase:Uniform honeycombs in hyperbolic space wikidata:Uniform honeycombs in hyperbolic space dbpedia-global:Uniform honeycombs in hyperbolic space dbr:Uniform honeycombs in hyperbolic space
prov:wasDerivedFrom	wikipedia-en:Uniform_honeycombs_in_hyperbolic_space?oldid=1268352708&ns=0
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wiki-commons:Special:FilePath/Cuboctahedron.png wiki-commons:Special:FilePath/Hexahedron.png wiki-commons:Special:FilePath/Tetragonal_prism.png wiki-commons:Special:FilePath/Triangular_prism.png wiki-commons:Special:FilePath/Icosidodecahedron.png wiki-commons:Special:FilePath/Great_rhombicosidodecahedron.png wiki-commons:Special:FilePath/Truncated_hexahedron.png wiki-commons:Special:FilePath/Small_rhombicosidodecahedron.png wiki-commons:Special:FilePath/Small_rhombicuboctahedron.png wiki-commons:Special:FilePath/Truncated_icosahedron.png wiki-commons:Special:FilePath/Great_rhombicuboctahedron.png wiki-commons:Special:FilePath/Hexagonal_prism.png wiki-commons:Special:FilePath/Truncated_octahedron.png wiki-commons:Special:FilePath/Truncated_tetrahedron.png wiki-commons:Special:FilePath/H3_435_CC_center_0100.png wiki-commons:Special:FilePath/Alternated_cantitrunc...der-4_dodecahedral_honeycomb_verf.png wiki-commons:Special:FilePath/Alternated_order-5_cubic_honeycomb_verf.png wiki-commons:Special:FilePath/Alternated_order_5_cubic_honeycomb.png wiki-commons:Special:FilePath/Bicantellated_alternated_order-5_cubic_honeycomb_verf.png wiki-commons:Special:FilePath/Bitruncated_order-5_cubic_honeycomb_verf.png wiki-commons:Special:FilePath/Cantellated_alternated_order-5_cubic_honeycomb_verf.png wiki-commons:Special:FilePath/Cantellated_icosahedral_honeycomb_verf.png wiki-commons:Special:FilePath/Cantellated_order-4_dodecahedral_honeycomb_verf.png wiki-commons:Special:FilePath/Cantellated_order-5_cubic_honeycomb_verf.png wiki-commons:Special:FilePath/Cantellated_order-5_dodecahedral_honeycomb_verf.png wiki-commons:Special:FilePath/Cantitruncated_alternated_order-5_cubic_honeycomb_verf.png wiki-commons:Special:FilePath/Cantitruncated_icosahedral_honeycomb_verf.png wiki-commons:Special:FilePath/Cantitruncated_order-4_dodecahedral_honeycomb_verf.png wiki-commons:Special:FilePath/Cantitruncated_order-5_cubic_honeycomb_verf.png 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