6-demicube
In geometry, a 6-demicube or demihexteract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM6 for a 6-dimensional half measure polytope. Coxeter named this polytope as 131 from its Coxeter diagram, with a ring on one of the 1-length branches, . It can named similarly by a 3-dimensional exponential Schläfli symbol or {3,33,1}.
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10-demicube1 31 polytope1 32 polytope1 33 honeycomb1 42 polytope1 52 honeycomb2 31 polytope3 31 honeycomb6-cube6-cubic honeycomb6-demicubic honeycomb6-demihypercube6-polytope7-cube7-demicube8-demicube9-demicubeAlternation (geometry)B6 polytopeD6 polytopeDecagonDemihexeractDemihexteractDemihypercubeE9 honeycombEmanuel Lodewijk ElteGosset–Elte figuresHalved cube graphHyperoctahedral groupList of mathematical shapesList of polygons, polyhedra and polytopesPentic 6-cubesPoint groupPolytope familiesQuarter 6-cubic honeycombQuarter hypercubic honeycombRectified 5-simplexesRegular dodecahedronRegular icosahedronRegular skew polyhedron
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6-demicube
In geometry, a 6-demicube or demihexteract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM6 for a 6-dimensional half measure polytope. Coxeter named this polytope as 131 from its Coxeter diagram, with a ring on one of the 1-length branches, . It can named similarly by a 3-dimensional exponential Schläfli symbol or {3,33,1}.
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In geometry, a 6-demicube or d ...... l Schläfli symbol or {3,33,1}.
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In geometry, a 6-demicube or d ...... l Schläfli symbol or {3,33,1}.
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6-demicube
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