Bitruncatotetracontoctachoron

The bitruncatotetracontoctachoron is a convex isogonal polychoron that consists of 48 cubes, 144 square antiprisms and 288 tetragonal disphenoids obtained as the convex hull of two opposite truncated icositetrachora.

Vertex coordinates
The vertices of a bitruncatotetracontoctachoron, assuming that the square antiprisms are uniform of edge length 1, centered at the origin, are given by all permutations of:
 * (0, ±$\sqrt{2}$/2, ±(1+$\sqrt{1+√2}$)/2, ±(1+$\sqrt{2}$+$\sqrt{1+√2}$)/2)
 * (±1/2, ±1/2, ±1/2, ±(1+$\sqrt{2}$+$\sqrt{2+2√2}$)/2)
 * (±($\sqrt{2}$+$\sqrt{2+2√2}$-2)/4, ±(2+$\sqrt{2}$+$\sqrt{2+2√2}$)/4, ±(2+$\sqrt{2}$+$\sqrt{2+2√2}$)/4, ±(2+$\sqrt{2}$+$\sqrt{2+2√2}$)/4)
 * (±($\sqrt{2}$+$\sqrt{2+2√2}$)/4, ±($\sqrt{2}$+$\sqrt{2+2√2}$)/4, ±($\sqrt{2}$+$\sqrt{2+2√2}$)/4, ±(4+$\sqrt{2}$+$\sqrt{2+2√2}$)/4)