Hexicated 8-simplexes

Hexicated 8-simplex

Orthogonal projection on A8 Coxeter plane
Typeuniform 8-polytope
Schläfli symbol t0,6{3,3,3,3,3,3,3}
Coxeter-Dynkin diagrams
7-faces
6-faces
5-faces
4-faces
Cells
Faces
Edges2268
Vertices252
Vertex figure
Coxeter groupsA8, [37], order 362880
Propertiesconvex

In eight-dimensional geometry, a hexicated 8-simplex is a uniform 8-polytope, being a hexication (6th order truncation) of the regular 8-simplex.

Coordinates

The Cartesian coordinates of the vertices of the hexicated 8-simplex can be most simply positioned in 8-space as permutations of (0,0,0,1,1,1,1,1,2). This construction is based on facets of the hexicated 9-orthoplex.

Images

orthographic projections
Ak Coxeter plane A8 A7 A6 A5
Graph
Dihedral symmetry [9] [8] [7] [6]
Ak Coxeter plane A4 A3 A2
Graph
Dihedral symmetry [5] [4] [3]

Related polytopes

This polytope is one of 135 uniform 8-polytopes with A8 symmetry.

Notes

    References

    External links

    This article is issued from Wikipedia - version of the Saturday, December 27, 2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.