Trirectified enneazetton

The trirectified enneazetton, or trene, also called the trirectified 8-simplex, is a convex uniform polyzetton. It consists of 9 birectified octaexa and 9 hexadecaexa. 4 birectified octaexa and 5 hexadecaexa join at each tetrahedral-pentachoric duoprismatic vertex. As the name suggests, it is the trirectification of the enneazetton.

It is also a convex segmentozetton, as birectified octaexon atop hexadecaexon.

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


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

Representations
A trirectified enneazetton has the following Coxeter diagrams:


 * o3o3o3x3o3o3o3o (full symmetry)
 * oo3oo3xo3ox3oo3oo3oo&#x (A7 axial, birectified octaexon atop hexadecaexon)