Rectified enneazetton

The rectified enneazetton, or rene, also called the rectified 8-simplex, is a convex uniform polyzetton. It consists of 9 regular octaexa and 9 rectified octaexa. Two octaexa and 7 rectified octaexa join at each heptapetic prismatic vertex. As the name suggests, it is the rectification of the enneazetton.

It is also a convex segmentozetton, as octaexon atop rectified octaexon.

Vertex coordinates
The vertices of a rectified enneazetton of edge length 1 can be given in nine dimensions as all permutations of:


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

Representations
A rectified enneazetton has the following Coxeter diagrams:


 * o3x3o3o3o3o3o3o (full symmetry)
 * xo3ox3oo3oo3oo3oo3oo&#x (A7 axial, octaexon atop rectified octaexon)