Acronym	gaqript
Name	grand quasirhombated prismatotesseract
Cross sections	©
Circumradius	sqrt[2-sqrt(2)] = 0.765367
Coordinates	((sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army	srit
Colonel of regiment	wavitoth
Face vector	96, 288, 192, 32
External links

As abstract polytope gaqript is isomorphic to garpit, thereby replacing octagrams by octagons, resp. replacing groh by sroh and stop by op.

Just as groh itself is the blend of the partially face-coincident compound of 3 stop, gaqript is the likewise blend of the compound of 3 stodip.

Incidence matrix

96 |   4  2 |  2  4  4 | 2  4
---+--------+----------+-----
 2 | 192  * |  1  1  1 | 1  2
 2 |   * 96 |  0  2  2 | 2  2
---+--------+----------+-----
 4 |   4  0 | 48  *  * | 0  2
 4 |   2  2 |  * 96  * | 1  1
 8 |   4  4 |  *  * 48 | 1  1  {8/3}
---+--------+----------+-----
24 |  24 24 |  0 12  6 | 8  *  groh
16 |  16  8 |  4  4  2 | * 24  stop