Small terihexeractihexacontatetrapeton

The small terated hexeract, small terihexeractihexacontatetrapeton or pentellated hexeract, also called stoxog or the pentellated 6-cube, is a convex uniform polypeton. It consists of 72 penteracts, 64 hexatera, 192 pentachoric prisms, 160 triangular-cubic duoprisms, and 240 square-tetrahedral duoprisms. 1 penteract, 1 hexateron, 5 penteracts as tesseractic prisms, 5 pentachoric prisms, 10 triangular-cubic duoprisms, and 10 square-tetrahedral duoprisms join at each vertex. It is the pentellation of the hexeract or its dual hexacontatetrapeton. It can be obtained by expanding the facets of either the hexeract or the hexacontatetrapeton outwards, and filling in the gaps with new facets.

Vertex coordinates
The coordinates of a small terated hexeract are given by all permutations of:
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12\right).$$