3-3 duoprism (original) (raw)

About DBpedia

In the geometry of 4 dimensions, the 3-3 duoprism or triangular duoprism is a four-dimensional convex polytope. It can be constructed as the Cartesian product of two triangles and is the simplest of an infinite family of four-dimensional polytopes constructed as Cartesian products of two polygons, the duoprisms. It has 9 vertices, 18 edges, 15 faces (9 squares, and 6 triangles), in 6 triangular prism cells. It has Coxeter diagram , and symmetry [[3,2,3]], order 72. Its vertices and edges form a rook's graph.

thumbnail

Property Value
dbo:abstract In the geometry of 4 dimensions, the 3-3 duoprism or triangular duoprism is a four-dimensional convex polytope. It can be constructed as the Cartesian product of two triangles and is the simplest of an infinite family of four-dimensional polytopes constructed as Cartesian products of two polygons, the duoprisms. It has 9 vertices, 18 edges, 15 faces (9 squares, and 6 triangles), in 6 triangular prism cells. It has Coxeter diagram , and symmetry [[3,2,3]], order 72. Its vertices and edges form a rook's graph. (en) 3-3 дуопризма или треугольная дуопризма, наименьшая из p-q дуопризм, это четырёхмерный многогранник, получающийся прямым произведением двух треугольников. Многогранник имеет 9 вершин, 18 рёбер, 15 граней (9 квадратов и 6 треугольников) в 6 ячейках в форме треугольных призм. Он имеет диаграмму Коксетера и симметрию [[3,2,3]] порядка 72. Его вершины и рёбра образуют ладейный граф. (ru)
dbo:thumbnail wiki-commons:Special:FilePath/3-3_duoprism.png?width=300
dbo:wikiPageExternalLink https://link.springer.com/article/10.1007/s00454-016-9777-3 https://web.archive.org/web/20030121092141/http:/etext.lib.virginia.edu/etcbin/toccer-new2%3Fid=ManFour.sgm&images=images%2Fmodeng&data=%2Ftexts%2Fenglish%2Fmodeng%2Fparsed&tag=public&part=all https://web.archive.org/web/20090829025933/http:/geocities.com/os2fan2/gloss.htm https://web.archive.org/web/20141201023452/http:/www.bayarea.net/~kins/thomas_briggs/
dbo:wikiPageID 41745711 (xsd:integer)
dbo:wikiPageLength 10272 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID 1104725270 (xsd:integer)
dbo:wikiPageWikiLink dbr:Cartesian_product dbr:Rook's_graph dbr:Schläfli_symbol dbr:Berlekamp–van_Lint–Seidel_graph dbr:Uniform_4-polytope dbr:Duocylinder dbr:Duopyramid dbc:4-polytopes dbr:Complete_bipartite_graph dbr:Coxeter dbr:Coxeter_notation dbr:Runcinated_5-simplex dbr:Equilateral_triangle dbr:Geometry dbr:Convex_polytope dbr:Conway's_99-graph_problem dbr:Vertex_arrangement dbr:Locally_linear_graph dbr:3-4_duoprism dbr:4-polytope dbr:5-simplex dbr:Duoprism dbr:Norman_Johnson_(mathematician) dbr:Cayley_graph dbr:Isosceles_triangle dbr:Harold_Scott_MacDonald_Coxeter dbr:Tesseract dbr:Vertex_figure dbr:John_Horton_Conway dbr:Birectified_16-cell_honeycomb dbr:Toroidal_graph dbr:Triangle dbr:Uniform_5-polytope dbr:Regular_complex_polygon dbr:Square_(geometry) dbr:Facet-transitive dbr:Orthogonal_projection dbr:Square dbr:Strongly_regular_graph dbr:Schlegel_diagram dbr:Triangular_prism dbr:5-5_duoprism dbr:Thomsen_graph dbr:Tetragonal_disphenoid dbr:Convex_regular_4-polytope dbr:Paley_graph dbr:Dual_polytope dbr:Hypervolume dbr:Runcinated_5-cube dbr:Runcinated_5-orthoplex dbr:Coxeter_diagram dbr:Regular_complex_polytope dbr:3-3_duopyramid dbr:Vertex-uniform dbr:Birectified_5-simplex dbr:File:3-3_duoprism.png dbr:File:3,3_duoprism_net.png dbr:File:3-3_duoprism-isotoxal.svg dbr:File:3-3_duoprism_ortho-Dih3.png dbr:File:3-3_duoprism_ortho-dih3.png dbr:File:3-3_duoprism_ortho_square.png dbr:File:3-3_duopyramid_ortho.png dbr:File:3-generalized-2-cube.svg dbr:File:3-generalized-2-cube_skew.svg dbr:File:33-duoprism_verf.png dbr:File:Birectified_16-cell_honeycomb_verf.png dbr:File:Birectified_16-cell_honeycomb_verf2.png dbr:File:Birectified_16-cell_honeycomb_verf3.png dbr:File:Birectified_hexateron_verf.png dbr:File:Complex_polygon_2-4-3-bipartite_graph.png dbr:File:Complex_polygon_2-4-3.png dbr:File:Complex_polygon_3-4-2-stereographic2.png dbr:File:Runcinated_5-simplex_verf.png dbr:File:Runcinated_pentacross_verf.png dbr:File:Runcinated_penteract_verf.png dbr:File:Triangular_Duoprism_YW_and_ZW_Rotations.gif
dbp:title Catalogue of Convex Polychora, section 6 (en)
dbp:urlname section6.html (en)
dbp:wikiPageUsesTemplate dbt:CDD dbt:ISBN dbt:PolyCell dbt:Reflist dbt:Brackets dbt:K_22_polytopes
dct:subject dbc:4-polytopes
gold:hypernym dbr:Polytope
rdfs:comment In the geometry of 4 dimensions, the 3-3 duoprism or triangular duoprism is a four-dimensional convex polytope. It can be constructed as the Cartesian product of two triangles and is the simplest of an infinite family of four-dimensional polytopes constructed as Cartesian products of two polygons, the duoprisms. It has 9 vertices, 18 edges, 15 faces (9 squares, and 6 triangles), in 6 triangular prism cells. It has Coxeter diagram , and symmetry [[3,2,3]], order 72. Its vertices and edges form a rook's graph. (en) 3-3 дуопризма или треугольная дуопризма, наименьшая из p-q дуопризм, это четырёхмерный многогранник, получающийся прямым произведением двух треугольников. Многогранник имеет 9 вершин, 18 рёбер, 15 граней (9 квадратов и 6 треугольников) в 6 ячейках в форме треугольных призм. Он имеет диаграмму Коксетера и симметрию [[3,2,3]] порядка 72. Его вершины и рёбра образуют ладейный граф. (ru)
rdfs:label 3-3 duoprism (en) 3-3 дуопризма (ru)
owl:sameAs freebase:3-3 duoprism wikidata:3-3 duoprism dbpedia-ru:3-3 duoprism https://global.dbpedia.org/id/bKNS
prov:wasDerivedFrom wikipedia-en:3-3_duoprism?oldid=1104725270&ns=0
foaf:depiction wiki-commons:Special:FilePath/3-3_duoprism.png wiki-commons:Special:FilePath/3,3_duoprism_net.png wiki-commons:Special:FilePath/3-3_duoprism_ortho_square.png wiki-commons:Special:FilePath/3-generalized-2-cube.svg wiki-commons:Special:FilePath/33-duoprism_verf.png wiki-commons:Special:FilePath/Complex_polygon_3-4-2-stereographic2.png wiki-commons:Special:FilePath/Triangular_Duoprism_YW_and_ZW_Rotations.gif wiki-commons:Special:FilePath/Complex_polygon_2-4-3.png wiki-commons:Special:FilePath/3-generalized-2-cube_skew.svg wiki-commons:Special:FilePath/Complex_polygon_2-4-3-bipartite_graph.png wiki-commons:Special:FilePath/3-3_duoprism_ortho-Dih3.png wiki-commons:Special:FilePath/3-3_duopyramid_ortho.png wiki-commons:Special:FilePath/3-3_duoprism-isotoxal.svg wiki-commons:Special:FilePath/3-3_duoprism_ortho-dih3.png wiki-commons:Special:FilePath/Birectified_16-cell_honeycomb_verf.png wiki-commons:Special:FilePath/Birectified_16-cell_honeycomb_verf2.png wiki-commons:Special:FilePath/Birectified_16-cell_honeycomb_verf3.png wiki-commons:Special:FilePath/Birectified_hexateron_verf.png wiki-commons:Special:FilePath/Runcinated_5-simplex_verf.png wiki-commons:Special:FilePath/Runcinated_pentacross_verf.png wiki-commons:Special:FilePath/Runcinated_penteract_verf.png
foaf:isPrimaryTopicOf wikipedia-en:3-3_duoprism
is dbo:wikiPageRedirects of dbr:Triangular_duoprism dbr:3-3_duopyramid dbr:3-3_prism
is dbo:wikiPageWikiLink of dbr:Rook's_graph dbr:Uniform_4-polytope dbr:Proprism dbr:Complex_polytope dbr:Cross-polytope dbr:Conway's_99-graph_problem dbr:72_(number) dbr:Locally_linear_graph dbr:22_(number) dbr:Duoprism dbr:1_22_polytope dbr:Hexagon dbr:Hessian_polyhedron dbr:Uniform_5-polytope dbr:Rectified_5-simplexes dbr:Regular_complex_polygon dbr:Cantellated_5-simplexes dbr:Skew_polygon dbr:Runcinated_5-simplexes dbr:Runcinated_5-cubes dbr:Paley_graph dbr:Stericated_5-simplexes dbr:Triangular_duoprism dbr:3-3_duopyramid dbr:3-3_prism
is foaf:primaryTopic of wikipedia-en:3-3_duoprism