Demihexeract

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Demihexeract
6-demicube
Type Uniform 6-polytope
Family demihypercube
5-faces 44:
12 demipenteract
32 5-simplices.
4-faces 252:
60 16-cells
192 5-cells
Cells 640:
160+480 {3,3}
Faces 640 {3}
Edges 240
Vertices 32
Vertex figure Rectified 5-simplex
Schläfli symbol t0{31,1,3}
h{4,3,3,3,3}
Coxeter-Dynkin diagram Image:CD ring.pngImage:CD 3b.pngImage:CD_downbranch-00.pngImage:CD 3b.pngImage:CD dot.pngImage:CD 3b.pngImage:CD dot.pngImage:CD 3b.pngImage:CD dot.png
Image:CDW_hole.pngImage:CDW_4.pngImage:CDW_dot.pngImage:CDW_3b.pngImage:CDW_dot.pngImage:CDW_3b.pngImage:CDW_dot.pngImage:CDW_3b.pngImage:CDW_dot.pngImage:CDW_3b.pngImage:CDW_dot.png
Symmetry group B6, [3,3,3,3,4]
Dual ?
Properties convex

A demihexteract is a uniform 6-polytope, constructed from a 6-hypercube (hexeract) with alternated vertices deleted. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.

Coxeter named this polytope as 131 from its Coxeter-Dynkin diagram, with a ring on one of the 1-length Coxeter-Dynkin diagram branches.

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