Small terihexeractihexacontatetrapeton

The small terihexeractihexacontatetrapeton, smal terated hexeratc, or pentellated hexeract, also called stoxog or the pentellated 6-cube, is a convex uniform polypeton. It consists of 12+60 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.

The small terihexeractihexacontatetrapeton contains the vertices of a small cellipenteractitriacontaditeric prism, square-small disprismatotesseractichexadecachoric duoprism, cubic-small rhombicuboctahedral duoprism, and octagonal-tesseractic duoprism.

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