Cellitruncated hexacontatetrapeton

The cellitruncated hexacontatetrapeton or catog, also called the steritruncated hexacontatetrapeton or steritruncated 6-orthoplex, is a convex uniform polypeton. It consists of 12 small prismated triacontaditera, 64 celliprismated hexatera, 60 rectified tesseractic prisms, 160 hexagonal-cuboctahedral duoprisms, and 240 square-truncated tetrahedral duoprisms. 1 small prismated triacontaditeron, 2 celliprismated hexatera, 1 rectified tesseractic prism, 3 hexagonal-cuboctahedral duoprisms, and 3 square-truncated tetrahedral duoprisms join at each vertex. As the name suggests, it is the steritruncation of the hexacontatetrapeton.

Coordinates
The vertex coordinates of a cellitruncated hexacontatetrapeton, centered at the origin and with unit edge length, are given by all permutations of:
 * $$\left(±\frac{3\sqrt2}{2},\,±\sqrt2,\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0\right).$$

Representations
A birectified hexeract has the following Coxeter diagrams:
 * o4x3o3o3x3x (full symmetry)
 * x3o3x *b3o3x3x (D6 symmetry)