This HTML5 document contains 129 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
dbohttp://dbpedia.org/ontology/
n12http://dbpedia.org/resource/File:
foafhttp://xmlns.com/foaf/0.1/
n15http://www.wiley.com/WileyCDA/WileyTitle/
n9https://global.dbpedia.org/id/
dbthttp://dbpedia.org/resource/Template:
n16http://www.polytope.net/hedrondude/
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
n18http://tetraspace.alkaline.org/
n8http://commons.wikimedia.org/wiki/Special:FilePath/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbphttp://dbpedia.org/property/
provhttp://www.w3.org/ns/prov#
dbchttp://dbpedia.org/resource/Category:
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
goldhttp://purl.org/linguistics/gold/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:List_of_regular_polytopes_and_compounds
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:D8_polytope
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:E8_lattice
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:List_of_mathematical_shapes
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:List_of_polygons,_polyhedra_and_polytopes
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Point_group
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Cross-polytope
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Emanuel_Lodewijk_Elte
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:5_21_honeycomb
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:7-simplex
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:8-cube
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:8-cubic_honeycomb
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:8-demicubic_honeycomb
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:8-orthoplex
rdfs:label
8-orthoplex
rdfs:comment
In geometry, an 8-orthoplex or 8-cross polytope is a regular 8-polytope with 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells 4-faces, 1792 5-faces, 1024 6-faces, and 256 7-faces. It has two constructive forms, the first being regular with Schläfli symbol {36,4}, and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol {3,3,3,3,3,31,1} or Coxeter symbol 511. It is a part of an infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is an 8-hypercube, or octeract.
foaf:depiction
n8:4-simplex_t0.svg n8:7-simplex_t0.svg n8:3-simplex_t0.svg n8:6-simplex_t0.svg n8:2-simplex_t0.svg n8:5-simplex_t0.svg n8:8-orthoplex.svg
dcterms:subject
dbc:8-polytopes
dbo:wikiPageID
10276044
dbo:wikiPageRevisionID
1122323392
dbo:wikiPageWikiLink
dbr:Cross-polytope dbr:Cell_(mathematics) dbr:Coxeter-Dynkin_diagram dbr:5-simplex dbr:Cross_polytope dbr:Greek_language dbr:Petrie_polygon dbr:Coxeter_diagram dbr:Face_(geometry) dbr:Coxeter_symbol n12:3-simplex_t0.svg dbr:Norman_Johnson_(mathematician) dbr:Coxeter_group dbr:5-orthoplex dbr:Convex_polytope n12:4-simplex_t0.svg dbr:Edge_(geometry) dbr:Orthotope dbr:Hanner_polytope dbr:Octeract n12:2-simplex_t0.svg dbr:Quasiregular_polytope dbr:16-cell dbr:Triangle dbr:Hypercube dbr:Geometry dbr:Regular_4-polytope dbr:Tetrahedron dbr:Harold_Scott_MacDonald_Coxeter dbr:5-cell dbr:Facet_(geometry) dbr:Octahedron dbr:Rhombic_fusil dbr:Vertex_(geometry) n12:6-simplex_t0.svg n12:5-simplex_t0.svg dbr:Dual_polytope dbr:8-polytope dbr:7-orthoplex dbr:7-simplex dbr:Regular_polytope n12:7-simplex_t0.svg dbr:Cartesian_coordinates n12:8-orthoplex.svg dbr:Schläfli_symbol dbr:8-simplex dbr:6-orthoplex dbr:Orthogonal_projection dbr:6-simplex dbr:5_21_honeycomb dbr:Coxeter_notation dbr:Hexadecagon dbr:Wythoff_construction dbr:Vertex_figure dbr:F-vector dbr:Orthoplex dbr:8-cube dbr:Square dbc:8-polytopes
dbo:wikiPageExternalLink
n15:productCd-0471010030.html n16:topes.htm n18:glossary.htm
owl:sameAs
wikidata:Q4644297 n9:4HyJt freebase:m.02vkpzz
dbp:wikiPageUsesTemplate
dbt:8-cube_Coxeter_plane_graphs dbt:KlitzingPolytopes dbt:Polytopes dbt:ISBN dbt:GlossaryForHyperspace dbt:CDD dbt:Reflist
dbo:thumbnail
n8:8-orthoplex.svg?width=300
dbo:abstract
In geometry, an 8-orthoplex or 8-cross polytope is a regular 8-polytope with 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells 4-faces, 1792 5-faces, 1024 6-faces, and 256 7-faces. It has two constructive forms, the first being regular with Schläfli symbol {36,4}, and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol {3,3,3,3,3,31,1} or Coxeter symbol 511. It is a part of an infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is an 8-hypercube, or octeract.
gold:hypernym
dbr:Polytope
prov:wasDerivedFrom
wikipedia-en:8-orthoplex?oldid=1122323392&ns=0
dbo:wikiPageLength
9283
foaf:isPrimaryTopicOf
wikipedia-en:8-orthoplex
Subject Item
dbr:Rectified_8-cubes
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:2_41_polytope
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Gosset–Elte_figures
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Truncated_8-cubes
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Tetradecagon
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Eight-dimensional_space
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Hexadecagon
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:B8_polytope
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Polytope_families
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Truncated_8-orthoplexes
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Uniform_k_21_polytope
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Uniform_8-polytope
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:Rectified_8-orthoplexes
dbo:wikiPageWikiLink
dbr:8-orthoplex
Subject Item
dbr:5_11_polytope
dbo:wikiPageWikiLink
dbr:8-orthoplex
dbo:wikiPageRedirects
dbr:8-orthoplex
Subject Item
dbr:8-cross
dbo:wikiPageWikiLink
dbr:8-orthoplex
dbo:wikiPageRedirects
dbr:8-orthoplex
Subject Item
dbr:8-cross-polytope
dbo:wikiPageWikiLink
dbr:8-orthoplex
dbo:wikiPageRedirects
dbr:8-orthoplex
Subject Item
dbr:8-cross_polytope
dbo:wikiPageWikiLink
dbr:8-orthoplex
dbo:wikiPageRedirects
dbr:8-orthoplex
Subject Item
dbr:Octacross
dbo:wikiPageWikiLink
dbr:8-orthoplex
dbo:wikiPageRedirects
dbr:8-orthoplex
Subject Item
dbr:Diacosipentacontahexazetton
dbo:wikiPageWikiLink
dbr:8-orthoplex
dbo:wikiPageRedirects
dbr:8-orthoplex
Subject Item
wikipedia-en:8-orthoplex
foaf:primaryTopic
dbr:8-orthoplex