Cellitruncated hexeract

The cellitruncated hexeract or catax, also called the steritruncated dodecapeton or steritruncated 6-cube, is a convex uniform polypeton. It consists of 12 celliprismated triacontaditera, 64 small prismated hexatera, 192 rectified pentachoric prisms, 240 octagonal-octahedral duoprisms, and 160 triangular-truncated cubic duoprisms. 2 celliprismated triacontaditera, 1 small prismated hexateron, 1 rectified pentachoric prism, 3 octagonal-octahedral duoprisms, and 3 triangular-truncated cubic duoprisms join at each vertex. As the name suggests, it is the steritruncation of the hexeract.

Coordinates
The vertex coordinates of a cellitruncated hexeract, centered at the origin and with unit edge length, are given by all permutations of:
 * $$\left(±\frac{1+2\sqrt2}{2},\,±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12\right).$$