Demidekeract
10-demicube

Orthogonal projection
inside Petrie polygon
Type Uniform 10-polytope
Family demihypercube
9-faces 532:
20 demienneracts
512 9-simplices
8-faces 5300:
180 demiocteracts
5120 8-simplices
7-faces 24000:
960 demihepteracts
23040 7-simplices
6-faces 64800:
3360 demihexeracts
61440 6-simplices
5-faces 115584:
8064 demipenteracts
107520 5-simplices
4-faces 142464:
13440 16-cells
129024 5-cells
Cells 122880:
15360+107520 {3,3}
Faces 61440 {3}
Edges 11520
Vertices 512
Vertex figure Rectified 9-simplex
Schläfli symbol {31,7,1}
h{4,38}
s{210}
Coxeter-Dynkin diagram

Coxeter group D10, [37,1,1]
Dual ?
Properties convex

A demidekeract or 10-demicube is a uniform 10-polytope, constructed from the 10-cube with alternated vertices deleted. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.

Coxeter named this polytope as 171 from its Coxeter-Dynkin diagram, with a ring on one of the 1-length Coxeter-Dynkin diagram branches.

See also

References