Trirectified decayotton

The trirectified decayotton, or treday, also called the trirectified 9-simplex, is a convex uniform polyyotton. It consists of 9 birectified enneazetta and 9 trirectified enneazetta. 4 birectified enneazetta and 6 trirectified enneazetta join at each tetrahedral-hexateric duoprismatic vertex. As the name suggests, it is the trirectification of the decayotton.

It is also a convex segmentoyotton, as birectified enneazetton atop trirectified enneazetton.

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


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