Tetracontoctadiminished birectified hexeract

The tetracontoctadiminished birectified hexeract, or codbrox, is a convex scaliform polypeton. It has 12 hexadecadiminished penteractitriacontaditera, 48 square-tetrahedral duoprisms, and 64 tridiminished rectified hexatera as facets; four of each facet type meet at each vertex.

Vertex coordinates
The unit tetracontoctadiminished birectified hexeract's vertex coordinates are given by the following, with all permutations of the respective first, second, and third (1,0) pairs:
 * $$\left(±1,0,±\frac12,±\frac12,±\frac12,±\frac12\right)$$
 * $$\left(±\frac12,±\frac{1}{2},±1,0,±\frac12,±\frac12\right)$$


 * $$\left(±\frac12,±\frac12,±\frac12,±\frac12,±1,0\right)$$