Demienneract

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Demiocteract
9-demicube
(No image)
Type Uniform 9-polytope
Family demihypercube
8-faces 274:
18 demiocteracts
256 8-simplices
7-faces 2448:
144 demihepteracts
2304 7-simplices
6-faces 9888:
672 demihexeracts
9216 6-simplices
5-faces 23520:
2016 demipenteracts
21504 5-simplices
4-faces 36288:
4032 16-cells
32256 5-cells
Cells 37632:
5376+32256 {3,3}
Faces 21504 {3}
Edges 4608
Vertices 256
Vertex figure Rectified 8-simplex
Schläfli symbol t0{31,1,6}
h{4,3,3,3,3,3,3,3}
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.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.pngImage:CDW_3b.pngImage:CDW_dot.png
Symmetry group B9, [3,3,3,3,3,3,3,4]
Dual ?
Properties convex

A demienneract is a uniform 9-polytope, constructed from the 9-hypercube, enneract, with alternated vertices deleted. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.

Coxeter named this polytope as 161 from its Coxeter-Dynkin diagram, with a ring on one of the 1-length Coxeter-Dynkin diagram branches.

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