Demiocteract

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Demiocteract
8-demicube
(No image)
Type Uniform 8-polytope
Family demihypercube
7-faces 144:
16 demihepteracts
128 7-simplices
6-faces 112 demihexeracts
1024 6-simplices
5-faces 448 demipenteracts
3584 5-simplices
4-faces 1120 16-cells
7168 5-cells
Cells 10752:
1792+8960 {3,3}
Faces 7168 {3}
Edges 1792
Vertices 128
Vertex figure Rectified 7-simplex
Schläfli symbol t0{31,1,5}
h{4,3,3,3,3,3,3}
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.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.pngImage:CDW_3b.pngImage:CDW_dot.pngImage:CDW_3b.pngImage:CDW_dot.png
Symmetry group B8, [3,3,3,3,3,3,4]
Dual ?
Properties convex

A demiocteract is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices deleted. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.

Coxeter named this polytope as 151 from its Coxeter-Dynkin diagram, with a ring on one of the 1-length Coxeter-Dynkin diagram branches.

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