Tericellated hexeract

The tericellated hexeract or tacox, also called the pentitruncated hexacontatetrapeton or pentitruncated 6-orthoplex, is a convex uniform polypeton. It consists of 12 small cellated penteracts, 64 truncated hexatera, 192 truncated pentachoric prisms, 60 penteracts, 240 square-truncated tetrahedral duoprisms, and 160 hexagonal-cubic duoprisms. 1 small cellated penteract, 1 truncated hexateron, 4 truncated pentachoric prisms, 1 penteract, 6 square-truncated tetrahedral duoprisms, and 4 hexagonal-cubic duoprisms join at each vertex. As the name suggests, it is the pentitruncation of the hexacontatetrapeton.

Coordinates
The vertex coordinates of a tericellated hexeract, centered at the origin and with unit edge length, are given by all permutations of:
 * $$\left(±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12\right).$$