Hexadecadiminished birectified hexacontatetrapeton

The hexadecadiminished birectified hexacontatetrapeton, or hidbrag, is a convex scaliform polypeton. It consists of 12 cyclotetradiminished rectified triacontaditera, 16 triangular-octahedral duoprisms, and 64 triangular duoantifastegiaprisms. 3 cyclotetradiminished rats, 2 triangular-octahedral duoprisms, and 8 triangular duoantifastegiaprisms meet at each vertex.

This polypeton can be constructed by removing 16 vertices (corresponding to two mutually-perpendicular cubes) from a birectified hexacontatetrapeton, or by taking the convex hull of two octahedral-cuboctahedral duoprisms.

Vertex coordinates
The vertices of a unit hexadecadiminished birectified hexacontatetrapeton are given by the following, including all permutations of the first and/or second three values:
 * $$\left(±\frac{\sqrt2}{2},0,0,±\frac{\sqrt2}{2},±\frac{\sqrt2}{2},0\right)$$
 * $$\left(±\frac{\sqrt2}{2},±\frac{\sqrt2}{2},0,±\frac{\sqrt2}{2},0,0\right)$$