Biambotetracontoctachoron

The biambotetracontoctachoron is a convex isogonal polychoron that consists of 48 cubes and 144 square antiprisms obtained as the convex hull of two opposite rectified icositetrachora.

The biambotetracontoctachoron contains the vertices of a square-octagonal prismantiprismoid and the square double prismantiprismoid.

Vertex coordinates
The vertices of a biambotetracontoctachoron, derived from two perpendicular rectified icositetrachora of edge length 1, centered at the origin, are given by all permutations of:
 * (0, ±1, ±1, ±1)
 * (0, ±$\sqrt{2}$/2, ±$\sqrt{2}$/2, ±$\sqrt{2}$).
 * (±1/2, ±1/2, ±1/2, ±3/2)