Teriprismated hexacontatetrapeton

The teriprismated hexacontatetrapeton or topag, also called the penticantellated dodecapeton or penticantellated 6-cube, is a convex uniform polypeton. It consists of 12 small rhombated penteracts, 64 small prismated hexatera, 192 small prismatodecachoric prisms, 60 small rhombated tesseractic prisms, 240 square-tetrahedral duoprisms, and 160 triangular-small rhombicuboctahedral duoprisms. 1 small rhombated penteract, 1 small prismated hexateron, 2 small prismatodecachoric prisms, 3 small rhombated tesseractic prisms, 1 square-tetrahedral duoprism, and 3 triangular-small rhombicuboctahedral duoprisms join at each vertex. As the name suggests, it is the penticantellation of the hexeract.

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