5-orthoplex
In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces. It has two constructed forms, the first being regular with Schläfli symbol {33,4}, and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol {3,3,31,1} or Coxeter symbol 211. It is a part of an infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is the 5-hypercube or 5-cube.
16-cell honeycomb2 11 polytope2 21 polytope2 22 honeycomb2 31 polytope2 41 polytope2 51 honeycomb3 31 honeycomb5-cell5-cross5-cross-polytope5-cross polytope5-cube5-cubic honeycomb5-demicube5-demicubic honeycomb5-orthoplex honeycomb5-polytope501 (number)6-orthoplex8-orthoplexB5 polytopeCantellated 5-cubesCantellated 5-orthoplexesCantellated 6-cubesComplex polytopeCompound of 5-cube and 5-orthoplexCoxeter elementCoxeter groupCross-polytopeD5 polytopeDecagonE9 honeycombEmanuel Lodewijk ElteFive-dimensional spaceGosset 2 11 polytopeGosset–Elte figuresHyperoctahedral groupList of mathematical shapesList of polygons, polyhedra and polytopes
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5-orthoplex
In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces. It has two constructed forms, the first being regular with Schläfli symbol {33,4}, and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol {3,3,31,1} or Coxeter symbol 211. It is a part of an infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is the 5-hypercube or 5-cube.
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5-ортоплекс, або пентакрос, аб ...... комірниковою гіпербіпірамідою.
@uk
5-ортоплекс, или пентакросс, и ...... 6-ячейниковую гипербипирамиду.
@ru
In five-dimensional geometry, ...... is the 5-hypercube or 5-cube.
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五维正轴体(Pentacross),又称正三十二超胞体(Tr ...... 点图为正十六胞体。同时,它也是考克斯特所归类的211多胞形。
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5-ортоплекс, або пентакрос, аб ...... комірниковою гіпербіпірамідою.
@uk
5-ортоплекс, или пентакросс, и ...... 6-ячейниковую гипербипирамиду.
@ru
In five-dimensional geometry, ...... is the 5-hypercube or 5-cube.
@en
五维正轴体(Pentacross),又称正三十二超胞体(Tr ...... 点图为正十六胞体。同时,它也是考克斯特所归类的211多胞形。
@zh
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5-orthoplex
@en
5-ортоплекс
@ru
5-ортоплекс
@uk
五维正轴体
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