Tericellated hexacontatetrapeton

The tericellated hexacontatetrapeton or tacog, also called the pentitruncated dodecapeton or pentitruncated 6-cube, is a convex uniform polypeton. It consists of 12 truncated penteracts, 64 small cellidodecatera, 192 pentachoric prisms, 60 truncated tesseractic prisms, 240 octagonal-tetrahedral duoprisms, and 160 triangular-truncated cubic duoprisms. 1 truncated penteract, 1 small cellidodecateron, 1 pentachoric prism, 4 truncated tesseractic prisms, 4 octagonal-tetrahedral duoprisms, and 6 triangular-truncated cubic duoprisms join at each vertex. As the name suggests, it is the pentitruncation of the hexeract.

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