Birectified decayotton

The birectified decayotton, or breday, also called the birectified 9-simplex, is a convex uniform polyyotton. It consists of 10 rectified enneazetta and 10 birectified enneazetta. 3 rectified enneazetta and 7 birectified enneazetta join at each triangular-heptapetic duoprismatic vertex. As the name suggests, it is the birectification of the decayotton.

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

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


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