6-orthoplex
In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces. It has two constructed forms, the first being regular with Schläfli symbol {34,4}, and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol {3,3,3,31,1} or Coxeter symbol 311. It is a part of an infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is the 6-hypercube, or hexeract.
3 11 polytope3 21 polytope5-simplex6-cross6-cross-polytope6-cross polytope6-cube6-cubic honeycomb6-demicubic honeycomb6-polytope7-orthoplex8-orthoplexAstrological aspect (Hindu Astrology)B6 polytopeCantellated 6-cubesCantellated 6-orthoplexesComplex polytopeCross-polytopeD6 polytopeDodecagonEmanuel Lodewijk ElteGosset–Elte figuresHexacontitetrapetonHexacrossHyperoctahedral groupList of mathematical shapesList of polygons, polyhedra and polytopesList of regular polytopes and compoundsPentellated 6-cubesPentellated 6-orthoplexesPoint groupPolytope familiesRectified 6-cubesRectified 6-orthoplexesRegular icosahedronRuncinated 6-cubesRuncinated 6-orthoplexesSix-dimensional spaceStericated 6-cubesStericated 6-orthoplexes
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6-orthoplex
In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces. It has two constructed forms, the first being regular with Schläfli symbol {34,4}, and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol {3,3,3,31,1} or Coxeter symbol 311. It is a part of an infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is the 6-hypercube, or hexeract.
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6-ортоплекс — геометричне тіло ...... осом і гексаконтитетрапетоном.
@uk
6-ортоплекс, или гексакросс ил ...... ортоплексовая гипербипирамида.
@ru
In geometry, a 6-orthoplex, or ...... the 6-hypercube, or hexeract.
@en
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6-ортоплекс — геометричне тіло ...... осом і гексаконтитетрапетоном.
@uk
6-ортоплекс, или гексакросс ил ...... ортоплексовая гипербипирамида.
@ru
In geometry, a 6-orthoplex, or ...... the 6-hypercube, or hexeract.
@en
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6-orthoplex
@en
6-ортоплекс
@ru
6-ортоплекс
@uk