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- Hemicube_(geometry) abstract "In abstract geometry, a hemicube is an abstract regular polyhedron, containing half the faces of a cube.It can be realized as a projective polyhedron (a tessellation of the real projective plane by three quadrilaterals), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into three equal parts.It has three square faces, six edges, and four vertices. It has an unexpected property that every face is in contact with every other face on two edges, and every face contains all the vertices, which gives an example of an abstract polytope whose faces are not determined by their vertex sets.From the point of view of graph theory the skeleton is a tetrahedral graph, an embedding of K4 (the complete graph with four vertices) on a projective plane.The hemicube should not be confused with the demicube – the hemicube is a projective polyhedron, while the demicube is an ordinary polyhedron (in Euclidean space). While they both have half the vertices of a cube, the hemicube is a quotient of the cube, while the vertices of the demicube are a subset of the vertices of the cube.".
- Hemicube_(geometry) thumbnail Hemicube2.PNG?width=300.
- Hemicube_(geometry) wikiPageExternalLink books?id=JfmlMYe6MJgC&pg=PA162.
- Hemicube_(geometry) wikiPageExternalLink map.php?a=N1.1p.
- Hemicube_(geometry) wikiPageID "10431815".
- Hemicube_(geometry) wikiPageLength "2774".
- Hemicube_(geometry) wikiPageOutDegree "29".
- Hemicube_(geometry) wikiPageRevisionID "707292841".
- Hemicube_(geometry) wikiPageWikiLink Abstract_polytope.
- Hemicube_(geometry) wikiPageWikiLink Category:Projective_polyhedra.
- Hemicube_(geometry) wikiPageWikiLink Complete_graph.
- Hemicube_(geometry) wikiPageWikiLink Cube.
- Hemicube_(geometry) wikiPageWikiLink Demihypercube.
- Hemicube_(geometry) wikiPageWikiLink Euler_characteristic.
- Hemicube_(geometry) wikiPageWikiLink Geometry.
- Hemicube_(geometry) wikiPageWikiLink Graph_theory.
- Hemicube_(geometry) wikiPageWikiLink Hemi-dodecahedron.
- Hemicube_(geometry) wikiPageWikiLink Hemi-icosahedron.
- Hemicube_(geometry) wikiPageWikiLink Hemi-octahedron.
- Hemicube_(geometry) wikiPageWikiLink N-skeleton.
- Hemicube_(geometry) wikiPageWikiLink Orientability.
- Hemicube_(geometry) wikiPageWikiLink Petrie_polygon.
- Hemicube_(geometry) wikiPageWikiLink Projective_plane.
- Hemicube_(geometry) wikiPageWikiLink Projective_polyhedron.
- Hemicube_(geometry) wikiPageWikiLink Real_projective_plane.
- Hemicube_(geometry) wikiPageWikiLink Sphere.
- Hemicube_(geometry) wikiPageWikiLink Square.
- Hemicube_(geometry) wikiPageWikiLink Symmetric_group.
- Hemicube_(geometry) wikiPageWikiLink Tessellation.
- Hemicube_(geometry) wikiPageWikiLink Tetrahedron.
- Hemicube_(geometry) wikiPageWikiLink File:Tetrahedron_3_petrie_polygons.png.
- Hemicube_(geometry) wikiPageWikiLinkText "Hemi-cube".
- Hemicube_(geometry) wikiPageWikiLinkText "Hemicube (geometry)".
- Hemicube_(geometry) wikiPageWikiLinkText "Hemicube".
- Hemicube_(geometry) wikiPageWikiLinkText "hemi-cube".
- Hemicube_(geometry) wikiPageWikiLinkText "hemicube".
- Hemicube_(geometry) dual Hemi-octahedron.
- Hemicube_(geometry) edges "6".
- Hemicube_(geometry) faces "3".
- Hemicube_(geometry) properties Orientability.
- Hemicube_(geometry) properties "Euler characteristic 1".
- Hemicube_(geometry) schläfli "{4,3}/2 or {4,3}3".
- Hemicube_(geometry) symmetry "S4, order 24".
- Hemicube_(geometry) type Abstract_polytope.
- Hemicube_(geometry) type "globally projective polyhedron".
- Hemicube_(geometry) vertexConfig "4.4".
- Hemicube_(geometry) vertices "4".
- Hemicube_(geometry) wikiPageUsesTemplate Template:Citation.
- Hemicube_(geometry) wikiPageUsesTemplate Template:Distinguish.
- Hemicube_(geometry) wikiPageUsesTemplate Template:Infobox_polyhedron.
- Hemicube_(geometry) wikiPageUsesTemplate Template:Polyhedron-stub.
- Hemicube_(geometry) wikiPageUsesTemplate Template:Reflist.
- Hemicube_(geometry) subject Category:Projective_polyhedra.
- Hemicube_(geometry) hypernym Polyhedron.
- Hemicube_(geometry) type Redirect.
- Hemicube_(geometry) type Thing.
- Hemicube_(geometry) comment "In abstract geometry, a hemicube is an abstract regular polyhedron, containing half the faces of a cube.It can be realized as a projective polyhedron (a tessellation of the real projective plane by three quadrilaterals), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into three equal parts.It has three square faces, six edges, and four vertices.".
- Hemicube_(geometry) label "Hemicube (geometry)".
- Hemicube_(geometry) differentFrom Demihypercube.
- Hemicube_(geometry) sameAs Q3893168.
- Hemicube_(geometry) sameAs Ημικύβος_(γεωμετρία).
- Hemicube_(geometry) sameAs Duon-kubo.
- Hemicube_(geometry) sameAs m.02qcwyf.
- Hemicube_(geometry) sameAs Polkocka.
- Hemicube_(geometry) sameAs Q3893168.
- Hemicube_(geometry) wasDerivedFrom Hemicube_(geometry)?oldid=707292841.
- Hemicube_(geometry) depiction Hemicube2.PNG.
- Hemicube_(geometry) isPrimaryTopicOf Hemicube_(geometry).