Acronym	gittifcoth
Name	great tesseractifaceted cubitesseractihexadecachoron
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, 208, 48
External links

As abstract polytope gittifcoth is isomorphic to stefacoth, thereby replacing pseudo octagrams by pseudo octagons, resp. querco by sirco.

Incidence matrix

64 |  3  3 |  3  3  6 |  1  3 3
---+-------+----------+--------
 2 | 96  * |  2  0  2 |  1  1 2
 2 |  * 96 |  0  2  2 |  0  2 2
---+-------+----------+--------
 3 |  3  0 | 64  *  * |  1  0 1
 4 |  0  4 |  * 48  * |  0  1 1
 4 |  2  2 |  *  * 96 |  0  1 1
---+-------+----------+--------
 4 |  6  0 |  4  0  0 | 16  * *  tet
 8 |  4  8 |  0  2  4 |  * 24 *  cube
24 | 24 24 |  8  6 12 |  *  * 8  querco