Trirectified octeract

The trirectified octeract, or tro, also called the trirectified 8-cube, is a convex uniform polyzetton. It consists of 16 hepteractihecatonicosoctaexa and 256 birectified octaexa. 8 rectified octaexa and 5 hepteractihecatonicosoctaexa join at each octahedral-pentachoric duoprismatic vertex. As the name suggests, it is the trirectification of the octeract.

Vertex coordinates
The vertices of a trirectified octeract of edge length 1 are given by all permutations of:


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

Representations
A trirectified octeract has the following Coxeter diagrams:


 * o4o3o3x3o3o3o3o (full symmetry)
 * o3o3o *b3x3o3o3o3o (D8 symmetry)
 * ooo4ooo3oxo3xox3ooo3ooo3ooo&#xt (B7 axial, hepteractihecatonicosoctaexon-first)