Birectified octaexon

The birectified octaexon, or broc, also called the birectified 7-simplex, is a convex uniform polyexon. It consists of 8 rectified heptapeta and 8 birectified heptapeta. 3 rectified heptapeta and 5 birectified heptapeta join at each triangular-pentachoric duoprismatic vertex. As the name suggests, it is the birectification of the octaexon.

It is also a convex segmentoexon, as rectified heptapeton atop birectified heptapeton.

Vertex coordinates
The vertices of a birectified octaexon of edge length 1 can be given in eight dimensions as all permutations of:


 * $$\left(\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,0,\,0,\,0,\,0,\,0\right).$$

Representations
A birectified octaexon has the following Coxeter diagrams:


 * o3o3x3o3o3o3o (full symmetry)
 * oo3xo3ox3oo3oo3oo&#x (A6 axial, rectified heptapeton atop birectified heptapeton)