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 | {3^{1,7,1}} h{4,3^{8}} s{2^{10}} |
Coxeter-Dynkin diagram | |
Coxeter group | D_{10}, [3^{7,1,1}] |
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 1_{71} from its Coxeter-Dynkin diagram, with a ring on one of the 1-length Coxeter-Dynkin diagram branches.