Small cellated hexacontatetrapeton

The small cellated hexacontatetrapeton or scag, also called the stericated hexacontatetrapeton or stericated 6-orthoplex, is a convex uniform polypeton. It consists of 12 rectified penteracts, 64 small cellidodecatera, 60 rectified tesseractic prisms, 160 triangular-cuboctahedral duoprisms, and 240 square-tetrahedral duoprisms. 1 rectified penteract, 2 small cellidodecatera, 4 rectified tesseractic prisms, 6 triangular-cuboctahedral duoprisms, and 4 square-tetrahedral duoprisms join at each vertex. As the name suggests, it is the sterication of the hexacontatetrapeton.

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