Great snub distetracontoctablendic distetracontoctachoron

The great snub distetracontoctablendic distetracontoctachoron or gesdicabdic is a scaliform polychoron. It consists of 96 truncated tetrahedra pairing up to form 48 truncated stellae octangulae, 288 more truncated tetrahedra, 48 blends of 4 quasitruncated cubes, and 48 blends of 4 cuboctatruncated cuboctahedra. It can be formed as a blend of 24 tesseractihexadecaquasitruncated tesseractihexadecachora.

Coordinates
Gesdicabdic's vertex coordinates are given by all permutations and sign changes of the following:


 * $$\biggl(\pm\frac{1+\sqrt{2}}{2},\pm\frac{\sqrt{2}-1}{2},\pm\frac{\sqrt{2}-1}{2},\pm\frac{1}{2}\biggr)$$
 * $$\biggl(\pm\frac{1+\sqrt{2}}{2},\pm\frac{2-\sqrt{2}}{2},\pm\frac{1}{2},0\biggr)$$
 * $$\biggl(\pm\frac{4-\sqrt{2}}{4},\pm\frac{3\sqrt{2}}{4},\pm\frac{\sqrt{2}}{4},\pm\frac{\sqrt{2}}{4}\biggr)$$
 * $$\biggl(\pm\frac{\sqrt{2}-1}{2},\pm\frac{\sqrt{2}}{2},\pm\frac{1}{2},\pm1\biggr)$$
 * $$\biggl(\pm\frac{3\sqrt{2}-2}{4},\pm\frac{2+\sqrt{2}}{4},\pm\frac{2+\sqrt{2}}{4},\pm\frac{2-\sqrt{2}}{4}\biggr)$$