6-simplex

6-simplex
Type uniform polypeton
Schläfli symbol {35}
Coxeter diagrams
Elements

f5 = 7, f4 = 21, C = 35, F = 35, E = 21, V = 7
(χ=0)

Coxeter group A6, [35], order 5040
Bowers name
and (acronym)
Heptapeton
(hop)
Vertex figure 5-simplex
Circumradius
0.654654[1]
Properties convex, isogonal self-dual

In geometry, a 6-simplex is a self-dual regular 6-polytope. It has 7 vertices, 21 edges, 35 triangle faces, 35 tetrahedral cells, 21 5-cell 4-faces, and 7 5-simplex 5-faces. Its dihedral angle is cos−1(1/6), or approximately 80.41°.

  1. ^ Klitzing, Richard. "heptapeton". bendwavy.org.