Icosayotton

The icosayotton, or icoy, also called the quadrirectified decayotton or quadrirectified 9-simplex, is a convex noble uniform polyyotton. It consists of 20 trirectified enneazeta. 10 trirectified enneazeta join at each pentachoric duoprismatic vertex. As the name suggests, it is the quadrirectification of the decayotton, the medial stage of truncation between an decayotton and the dual decayotton.

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

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


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

Representations
An icosayotton has the following Coxeter diagrams:


 * o3o3o3o3x3o3o3o3o (full symmetry)
 * oo3oo3oo3xo3ox3oo3oo3oo&#x (A8 axial, trirectified enneazetton atop alternate trirectified enneazetton)