Demihepteract

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Demihepteract
7-demicube
Type Uniform 7-polytope
Family demihypercube
6-faces 78:
14 demihexeract
64 6-simplices
5-faces 532:
84 demipenteracts
448 5-simplices
4-faces 1624:
280 16-cells
1344 5-cells
Cells 2800:
560+2240 {3,3}
Faces 2240 {3}
Edges 672
Vertices 64
Vertex figure Rectified 6-simplex
Schläfli symbol t0{31,1,4}
h{4,3,3,3,3,3}
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.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.png
Symmetry group B7, [3,3,3,3,3,4]
Dual ?
Properties convex

A demihepteract is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices deleted. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.

Coxeter named this polytope as 141 from its Coxeter-Dynkin diagram, with a ring on one of the 1-length Coxeter-Dynkin diagram branches.

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