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- Tetrahemihexahedron abstract "In geometry, the tetrahemihexahedron or hemicuboctahedron is a uniform star polyhedron, indexed as U4. It has 6 vertices and 12 edges, and 7 faces: 4 triangular and 3 square. Its vertex figure is a crossed quadrilateral. Its Coxeter-Dynkin diagram is File:CDel node 1.pngFile:CDel 3x.pngFile:CDel rat.pngFile:CDel d2.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.png (although this is a double covering of the tetrahemihexahedron).It is the only non-prismatic uniform polyhedron with an odd number of faces. Its Wythoff symbol is 3/2 3 | 2, but actually that represents a double covering of the tetrahemihexahedron with 8 triangles and 6 squares, paired and coinciding in space. (It can more intuitively be seen as two coinciding tetrahemihexahedra.)It is a hemipolyhedron. The "hemi" part of the name means some of the faces form a group with half as many members as some regular polyhedron—here, three square faces form a group with half as many faces as the regular hexahedron, better known as the cube—hence hemihexahedron. Hemi faces are also oriented in the same direction as the regular polyhedron's faces. The three square faces of the tetrahemihexahedron are, like the three facial orientations of the cube, mutually perpendicular.The "half-as-many" characteristic also means that hemi faces must pass through the center of the polyhedron, where they all intersect each other. Visually, each square is divided into four right triangles, with two visible from each side.It is the three-dimensional demicross polytope.".
- Tetrahemihexahedron thumbnail RomanSurfaceTopView.PNG?width=300.
- Tetrahemihexahedron wikiPageExternalLink rptwo.htm.
- Tetrahemihexahedron wikiPageExternalLink summary.
- Tetrahemihexahedron wikiPageExternalLink Stella.php.
- Tetrahemihexahedron wikiPageExternalLink Tetrahemi.php.
- Tetrahemihexahedron wikiPageID "2851834".
- Tetrahemihexahedron wikiPageLength "5764".
- Tetrahemihexahedron wikiPageOutDegree "49".
- Tetrahemihexahedron wikiPageRevisionID "651491366".
- Tetrahemihexahedron wikiPageWikiLink Abstract_polytope.
- Tetrahemihexahedron wikiPageWikiLink Antiparallelogram.
- Tetrahemihexahedron wikiPageWikiLink Cambridge_University_Press.
- Tetrahemihexahedron wikiPageWikiLink Category:Projective_polyhedra.
- Tetrahemihexahedron wikiPageWikiLink Category:Uniform_polyhedra.
- Tetrahemihexahedron wikiPageWikiLink Covering_space.
- Tetrahemihexahedron wikiPageWikiLink Coxeter-Dynkin_diagram.
- Tetrahemihexahedron wikiPageWikiLink Coxeter–Dynkin_diagram.
- Tetrahemihexahedron wikiPageWikiLink Cuboctahedron.
- Tetrahemihexahedron wikiPageWikiLink Cupola_(geometry).
- Tetrahemihexahedron wikiPageWikiLink Demicross_polytope.
- Tetrahemihexahedron wikiPageWikiLink Demicube.
- Tetrahemihexahedron wikiPageWikiLink Demihypercube.
- Tetrahemihexahedron wikiPageWikiLink Dual_hemipolyhedra.
- Tetrahemihexahedron wikiPageWikiLink Dual_polyhedron.
- Tetrahemihexahedron wikiPageWikiLink Euler_characteristic.
- Tetrahemihexahedron wikiPageWikiLink Face_(geometry).
- Tetrahemihexahedron wikiPageWikiLink Geometry.
- Tetrahemihexahedron wikiPageWikiLink Hemi-cuboctahedron.
- Tetrahemihexahedron wikiPageWikiLink Hemi-octahedron.
- Tetrahemihexahedron wikiPageWikiLink Hemipolyhedron.
- Tetrahemihexahedron wikiPageWikiLink Magnus_Wenninger.
- Tetrahemihexahedron wikiPageWikiLink Octahedron.
- Tetrahemihexahedron wikiPageWikiLink Orientability.
- Tetrahemihexahedron wikiPageWikiLink Perpendicular.
- Tetrahemihexahedron wikiPageWikiLink Prism_(geometry).
- Tetrahemihexahedron wikiPageWikiLink Prismatic_uniform_polyhedron.
- Tetrahemihexahedron wikiPageWikiLink Projective_polyhedron.
- Tetrahemihexahedron wikiPageWikiLink Real_projective_plane.
- Tetrahemihexahedron wikiPageWikiLink Right_triangle.
- Tetrahemihexahedron wikiPageWikiLink Roman_surface.
- Tetrahemihexahedron wikiPageWikiLink Stellation.
- Tetrahemihexahedron wikiPageWikiLink Tetrahedron.
- Tetrahemihexahedron wikiPageWikiLink Tetrahemihexacron.
- Tetrahemihexahedron wikiPageWikiLink Tetrahemihexahedron.
- Tetrahemihexahedron wikiPageWikiLink Uniform_polyhedron.
- Tetrahemihexahedron wikiPageWikiLink Uniform_star_polyhedron.
- Tetrahemihexahedron wikiPageWikiLink Vertex_(geometry).
- Tetrahemihexahedron wikiPageWikiLink Vertex_figure.
- Tetrahemihexahedron wikiPageWikiLink Wythoff_symbol.
- Tetrahemihexahedron wikiPageWikiLink File:Cuboctahedron.png.
- Tetrahemihexahedron wikiPageWikiLink File:Octahedron.png.
- Tetrahemihexahedron wikiPageWikiLink File:RomanSurfaceTopView.PNG.
- Tetrahemihexahedron wikiPageWikiLink File:Tetrahemihexahedron.png.
- Tetrahemihexahedron wikiPageWikiLinkText "Tetrahemihexahedron".
- Tetrahemihexahedron wikiPageWikiLinkText "Tetrahemihexahedron#Tetrahemihexacron".
- Tetrahemihexahedron wikiPageWikiLinkText "U4".
- Tetrahemihexahedron wikiPageWikiLinkText "U4*".
- Tetrahemihexahedron wikiPageWikiLinkText "tetrahemihexahedra".
- Tetrahemihexahedron wikiPageWikiLinkText "tetrahemihexahedron".
- Tetrahemihexahedron hasPhotoCollection Tetrahemihexahedron.
- Tetrahemihexahedron title "Tetrahemihexacron".
- Tetrahemihexahedron title "Tetrahemihexahedron".
- Tetrahemihexahedron title "Uniform polyhedron".
- Tetrahemihexahedron urlname "Tetrahemihexacron".
- Tetrahemihexahedron urlname "Tetrahemihexahedron".
- Tetrahemihexahedron urlname "UniformPolyhedron".
- Tetrahemihexahedron wikiPageUsesTemplate Template:CDD.
- Tetrahemihexahedron wikiPageUsesTemplate Template:Citation.
- Tetrahemihexahedron wikiPageUsesTemplate Template:Mathworld.
- Tetrahemihexahedron wikiPageUsesTemplate Template:Mathworld2.
- Tetrahemihexahedron wikiPageUsesTemplate Template:Refbegin.
- Tetrahemihexahedron wikiPageUsesTemplate Template:Refend.
- Tetrahemihexahedron wikiPageUsesTemplate Template:Reflist.
- Tetrahemihexahedron wikiPageUsesTemplate Template:Star-cuploids.
- Tetrahemihexahedron wikiPageUsesTemplate Template:Uniform_polyhedra_db.
- Tetrahemihexahedron subject Category:Projective_polyhedra.
- Tetrahemihexahedron subject Category:Uniform_polyhedra.
- Tetrahemihexahedron hypernym Polyhedron.
- Tetrahemihexahedron comment "In geometry, the tetrahemihexahedron or hemicuboctahedron is a uniform star polyhedron, indexed as U4. It has 6 vertices and 12 edges, and 7 faces: 4 triangular and 3 square. Its vertex figure is a crossed quadrilateral.".
- Tetrahemihexahedron label "Tetrahemihexahedron".
- Tetrahemihexahedron sameAs Kvar-duon-sesedro.
- Tetrahemihexahedron sameAs Tétrahémihexaèdre.
- Tetrahemihexahedron sameAs 四面半六面体.
- Tetrahemihexahedron sameAs 사면반육면체.
- Tetrahemihexahedron sameAs m.086wbh.
- Tetrahemihexahedron sameAs Tetrahemiheksaeder.
- Tetrahemihexahedron sameAs Q3100395.
- Tetrahemihexahedron sameAs Q3100395.
- Tetrahemihexahedron sameAs 四面半六面體.
- Tetrahemihexahedron wasDerivedFrom Tetrahemihexahedron?oldid=651491366.
- Tetrahemihexahedron depiction RomanSurfaceTopView.PNG.
- Tetrahemihexahedron isPrimaryTopicOf Tetrahemihexahedron.