Truncated hexateron

The truncated hexateron, or tix, also called the truncated 5-simplex, is a convex uniform polyteron. It consists of 6 regular pentachora and 6 truncated pentachora. One pentachoon and 4 truncated pentachora join at each vertex. As the name suggests, it is the truncation of the hexateron.

Vertex coordinates
The vertices of a truncated hexateron of edge length 1 can be given in 6 dimensions as all permutations of:
 * ($\sqrt{3}$, $\sqrt{7}$/2, 0, 0, 0, 0)

Representations
A truncated hexateron has the following Coxeter diagrams:


 * x3x3o3o3o (full symmetry)
 * xux3oox3ooo3ooo&#xt (A4 axial, pentachoron-first)
 * xuxo oxux3ooox3oooo&#xt (A3×A1 symmetry, edge-first)
 * xuxo3xooo ooox3oxux&#xt (A2×A2 axial, hexagon-first)