Cellirhombated hexacontatetrapeton

The cellirhombated hexacontatetrapeton or crag, also called the stericantellated hexacontatetrapeton or stericantellated 6-orthoplex, is a convex uniform polypeton. It consists of 12 small birhombated penteracts, 64 cellirhombidodecatera, 60 rectified icositetrachoric prisms, 160 triangular-cuboctahedral duoprisms, and 240 square-cuboctahedral duoprisms. 1 small birhombated penteract, 2 cellirhombidodecatera, 2 rectified icositetrachoric prisms, 1 triangular-cuboctahedral duoprism, and 2 square-cuboctahedral duoprisms join at each vertex. As the name suggests, it is the stericantellation of the hexacontatetrapeton.

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

Representations
A cellirhombated hexacontatetrapeton has the following Coxeter diagrams:
 * o4x3o3x3o3x (full symmetry)
 * x3o3x *b3x3o3x (D6 symmetry)