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Statements

Subject Item
dbr:Order-5_cubic_honeycomb
rdfs:label
Order-5 cubic honeycomb Ordo-5 kuba kahelaro
rdfs:comment
In hyperbolic geometry, the order-5 cubic honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol {4,3,5}, it has five cubes {4,3} around each edge, and 20 cubes around each vertex. It is dual with the order-4 dodecahedral honeycomb. A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. En geometrio, la ordo-5 kuba kahelaro estas unu el kvar kahelaroj de hiperbola 3-spaco. En ĉi tiu kahelaro, kvin kuboj ekzisti sur ĉiu rando, kaj 20 kuboj ĉirkaŭ ĉiu vertico. Ĝi estas duala kun la ordo-4 dekduedra kahelaro. La kahelaro estas simila al la (ordo-4) kuba kahelaro de eŭklida 3-spaco kiu havas 4 kubojn ĉirkaŭ latero, kaj al la 4-hiperkubo kiu havas 3 kubojn ĉirkaŭ latero.
foaf:depiction
n10:Truncated_order-5_cubic_honeycomb_verf.png n10:Alternated_order_5_cubic_honeycomb.png n10:Truncated_alternated_order-5_cubic_honeycomb_verf.png n10:Alternated_order-5_cubic_honeycomb_verf.png n10:Runcitruncated_cubic_honeycomb.jpg n10:Runcinated_cubic_honeycomb.png n10:Uniform_polyhedron-53-t2.png n10:Uniform_polyhedron-53-t012.png n10:Uniform_polyhedron-53-t02.png n10:Uniform_polyhedron-43-t02.png n10:Omnitruncated_cubic_honeycomb1.png n10:Uniform_polyhedron-43-t012.png n10:Uniform_polyhedron-33-t0.png n10:Cantitruncated_order-5_cubic_honeycomb_verf.png n10:Uniform_polyhedron-33-t01.png n10:Cantellated_order-5_cubic_honeycomb_verf.png n10:H3_534-1011_center_ultrawide.png n10:H3_534-1111_center_ultrawide.png n10:H2-5-4-primal.svg n10:H3_534-0111_center_ultrawide.png n10:H3_534-1001_center_ultrawide.png n10:H3_534-0011_center_ultrawide.png n10:H3_534-0101_center_ultrawide.png n10:H3_5311-1010_center_ultrawide.png n10:H3_5311-1110_center_ultrawide.png n10:H3_435_CC_center.png n10:H3_5311-0110_center_ultrawide.png n10:Hyperb_gcubic_hc_constr.png n10:Uniform_polyhedron-53-t1.png n10:Uniform_polyhedron-53-t12.png n10:Uniform_polyhedron-43-t1.png n10:Runcitruncated_order-5_cubic_honeycomb_verf.png n10:Uniform_polyhedron-53-t01.png n10:Uniform_polyhedron-43-t01.png n10:Runcitruncated_alternated_order-5_cubic_honeycomb_verf.png n10:Truncated_cubic_honeycomb.png n10:Runcinated_order-5_cubic_honeycomb_verf.png n10:2-Kuboktaederstumpf_1-Oktaederstumpf_1-Hexaeder.png n10:Runcinated_alternated_order-5_cubic_honeycomb_verf.png n10:H2-5-4-cantellated.svg n10:H2-5-4-trunc-primal.svg n10:Rectified_order-5_cubic_honeycomb_verf.png n10:Octagonal_prism.png n10:Decagonal_prism.png n10:Uniform_polyhedron-43-t0.png n10:Order-5_cubic_honeycomb_verf.svg n10:Uniform_polyhedron-53-t0.png n10:Order-5_cubic_honeycomb_cell.png n10:Pentagonal_prism.png n10:Hyperb_gcubic_hc.png n10:Omnitruncated_order-4_dodecahedral_honeycomb_verf.png n10:H2-5-4-rectified.svg n10:H3_435_CC_center_0100.png n10:Cantellated_cubic_honeycomb.png
dcterms:subject
dbc:Honeycombs_(geometry)
dbo:wikiPageID
3870617
dbo:wikiPageRevisionID
1119308548
dbo:wikiPageWikiLink
n4:Runcinated_alternated_order-5_cubic_honeycomb_verf.png n4:H2-5-4-cantellated.svg dbr:Quasiregular_honeycomb dbr:Truncated_tetrahedron dbr:Runcinated_cubic_honeycomb dbr:Truncated_icosahedron dbr:Truncated_icosidodecahedron dbr:Truncated_dodecahedron n4:Alternated_order-5_cubic_honeycomb_verf.png n4:Alternated_order_5_cubic_honeycomb.png dbr:Regular_polychora n4:Uniform_polyhedron-33-t0.png dbr:Dual_polytope n4:Truncated_order-5_cubic_honeycomb_verf.png dbr:Coxeter_notation n4:Truncated_alternated_order-5_cubic_honeycomb_verf.png dbr:Hexagon dbr:Coxeter_group dbr:Coxeter_diagram dbr:Vertex_(geometry) dbr:Bitruncated_order-4_dodecahedral_honeycomb dbr:Cantellated_cubic_honeycomb dbr:Tesseract dbr:Cantitruncated_cubic_honeycomb n4:Hyperb_gcubic_hc_constr.png dbr:Triangular_frustum n4:Rectified_order-5_cubic_honeycomb_verf.png n4:Hyperb_gcubic_hc.png dbr:Triangle dbr:List_of_regular_polytopes dbr:Cantic_order-5_cubic_honeycomb dbr:Hyperbolic_space n4:H3_534-1011_center_ultrawide.png n4:H3_534-1111_center_ultrawide.png dbr:Cuboctahedron n4:H3_534-0111_center_ultrawide.png n4:H3_534-1001_center_ultrawide.png n4:H3_5311-1010_center_ultrawide.png dbr:Hyperbolic_geometry n4:H3_5311-1110_center_ultrawide.png dbr:Wedge_(geometry) n4:H3_534-0011_center_ultrawide.png n4:H3_534-0101_center_ultrawide.png dbr:Runcic_order-5_cubic_honeycomb n4:H3_5311-0110_center_ultrawide.png dbr:Pentagonal_prism dbr:Regular_polytope dbr:H.S.M._Coxeter dbr:Octagon n4:Order-5_cubic_honeycomb_verf.svg dbr:Mirrored_sphenoid dbr:Uniform_honeycombs_in_hyperbolic_space n4:Order-5_cubic_honeycomb_cell.png n4:H3_435_CC_center.png dbr:Schläfli_symbol dbr:Norman_Johnson_(mathematician) dbr:Poincaré_disk_model dbr:Rhombicosidodecahedron dbr:Runcicantic_order-5_cubic_honeycomb n4:H2-5-4-primal.svg n4:Runcinated_cubic_honeycomb.png n4:Decagonal_prism.png n4:Omnitruncated_order-4_dodecahedral_honeycomb_verf.png dbr:Triangular_antiprism dbr:Decagonal_prism dbr:Cubic_honeycomb dbr:Alternation_(geometry) dbr:Decagon dbr:Pentagonal_pyramid dbr:Truncated_cube n4:H2-5-4-rectified.svg dbr:Pyramid_(geometry) n4:Uniform_polyhedron-33-t01.png n4:Omnitruncated_cubic_honeycomb1.png n4:Runcitruncated_cubic_honeycomb.jpg dbr:Tetrahedron dbr:Omnitruncated_cubic_honeycomb n4:H3_435_CC_center_0100.png n4:Uniform_polyhedron-43-t012.png dbr:Regular_icosahedron dbr:Truncated_order-5_square_tiling dbr:Face_(geometry) dbr:Regular_dodecahedron dbr:Pentagon n4:2-Kuboktaederstumpf_1-Oktaederstumpf_1-Hexaeder.png dbr:Runcitruncated_cubic_honeycomb dbr:Square n4:Uniform_polyhedron-43-t01.png n4:Cantitruncated_order-5_cubic_honeycomb_verf.png n4:Uniform_polyhedron-43-t1.png dbr:Cell_(geometry) n4:Uniform_polyhedron-53-t2.png n4:Uniform_polyhedron-43-t0.png dbr:Cube n4:Cantellated_order-5_cubic_honeycomb_verf.png dbr:Truncated_cubic_honeycomb n4:Cantellated_cubic_honeycomb.png dbr:Regular_Polytopes_(book) n4:Pentagonal_prism.png dbr:Truncated_cuboctahedron dbr:Vertex_figure n4:Uniform_polyhedron-53-t02.png n4:Uniform_polyhedron-53-t012.png n4:Uniform_polyhedron-43-t02.png dbr:Convex_uniform_honeycombs_in_hyperbolic_space dbr:Rhombitetrapentagonal_tiling dbr:Runcitruncated_order-4_dodecahedral_honeycomb n4:Octagonal_prism.png dbr:Order-4_dodecahedral_honeycomb n4:Truncated_cubic_honeycomb.png n4:Uniform_polyhedron-53-t01.png n4:Uniform_polyhedron-53-t1.png n4:Uniform_polyhedron-53-t12.png dbc:Honeycombs_(geometry) dbr:Honeycomb_(geometry) dbr:Icosidodecahedron n4:Uniform_polyhedron-53-t0.png dbr:Semiregular_honeycomb dbr:Tessellation dbr:Isosceles_trapezoid n4:Runcitruncated_order-5_cubic_honeycomb_verf.png n4:Runcitruncated_alternated_order-5_cubic_honeycomb_verf.png dbr:Edge_(geometry) dbr:Rhombicuboctahedron n4:Runcinated_order-5_cubic_honeycomb_verf.png n4:H2-5-4-trunc-primal.svg dbr:Octagonal_prism
owl:sameAs
wikidata:Q7100402 dbpedia-eo:Ordo-5_kuba_kahelaro n12:4swKY freebase:m.0b47wq
dbp:wikiPageUsesTemplate
dbt:Omnitruncated_compact_H3_honeycombs dbt:Rectified_compact_H3_honeycombs dbt:CDD dbt:Overline dbt:Runcinated_compact_H3_honeycombs dbt:Runcitruncated_compact_H3_honeycombs dbt:534_family dbt:Cantellated_compact_H3_honeycombs dbt:Sub dbt:Isbn dbt:Cantitruncated_compact_H3_honeycombs dbt:Short_description dbt:Cubic_cell_tessellations dbt:Honeycomb dbt:Math dbt:Truncated_compact_H3_honeycombs dbt:Icosahedral_vertex_figure_tessellations dbt:Pentagonal_prism_vertex_figure_tessellations dbt:Regular_compact_H3_honeycombs
dbo:thumbnail
n10:H3_435_CC_center.png?width=300
dbo:abstract
In hyperbolic geometry, the order-5 cubic honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol {4,3,5}, it has five cubes {4,3} around each edge, and 20 cubes around each vertex. It is dual with the order-4 dodecahedral honeycomb. A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed in non-Euclidean spaces, such as hyperbolic uniform honeycombs. Any finite uniform polytope can be projected to its circumsphere to form a uniform honeycomb in spherical space. En geometrio, la ordo-5 kuba kahelaro estas unu el kvar kahelaroj de hiperbola 3-spaco. En ĉi tiu kahelaro, kvin kuboj ekzisti sur ĉiu rando, kaj 20 kuboj ĉirkaŭ ĉiu vertico. Ĝi estas duala kun la ordo-4 dekduedra kahelaro. La kahelaro estas simila al la (ordo-4) kuba kahelaro de eŭklida 3-spaco kiu havas 4 kubojn ĉirkaŭ latero, kaj al la 4-hiperkubo kiu havas 3 kubojn ĉirkaŭ latero.
gold:hypernym
dbr:Tessellations
prov:wasDerivedFrom
wikipedia-en:Order-5_cubic_honeycomb?oldid=1119308548&ns=0
dbo:wikiPageLength
22722
foaf:isPrimaryTopicOf
wikipedia-en:Order-5_cubic_honeycomb