Acronym	gnappoth
Name	great spinoprismatotesseractihexadecachoron
Cross sections	©
Circumradius	sqrt[(3-sqrt(2))/2] = 0.890446
Coordinates	((sqrt(2)-1)/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army	tat
Colonel of regiment	gittith
Face vector	64, 192, 184, 56
External links

As abstract polytope gnappoth is isomorphic to snappoth, thereby replacing octagrams by octagons, resp. groh by sroh.

Incidence matrix

64 |  3  3 |  3  6  3 |  1  3 3
---+-------+----------+--------
 2 | 96  * |  2  2  1 |  1  2 2
 2 |  * 96 |  0  2  1 |  0  1 2
---+-------+----------+--------
 3 |  3  0 | 64  *  * |  1  1 0
 4 |  2  2 |  * 96  * |  0  1 1
 8 |  4  4 |  *  * 24 |  0  0 2  {8/3}
---+-------+----------+--------
 4 |  6  0 |  4  0  0 | 16  * *  (tet)
 6 |  6  3 |  2  3  0 |  * 32 *  (trip)
24 | 24 24 |  0 12  6 |  *  * 8  (groh)