Enneazetton

(Redirected from 8-simplex)

Regular enneazetton 8-simplex
Image:Complete graph K9.svg (Orthographic projection)
Type	Regular 8-polytope
Family	simplex
7-faces	9 7-simplex
6-faces	36 6-simplex
5-faces	84 5-simplex
4-faces	126 5-cell
Cells	126 tetrahedron
Faces	84 triangle
Edges	36
Vertices	9
Vertex figure	7-simplex
Schläfli symbol	{3,3,3,3,3,3,3}
Coxeter-Dynkin diagram	Image:CDW ring.png Image:CDW 3b.png Image:CDW dot.png Image:CDW 3b.png Image:CDW dot.png Image:CDW 3b.png Image:CDW dot.png Image:CDW 3b.png Image:CDW dot.png Image:CDW 3b.png Image:CDW dot.png Image:CDW 3b.png Image:CDW dot.png Image:CDW 3b.png Image:CDW dot.png
Dual	Self-dual
Properties	convex

An enneazetton, or ennea-8-tope is an 8-simplex, a self-dual regular 8-polytope with 9 vertices, 36 edges, 84 triangle faces, 126 tetrahedral cells, 126 5-cell 4-faces, 84 5-simplex 5-faces, 36 6-simplex 6-faces, and 9 7-simplex 7-faces.