Acronym	gaquipadah
Name	great quasiprismatodishexadecachoron
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, 200, 72
Confer	uniform relative: quidpith   sistodip   compound relative: sistople
External links

Gaquipadah is nothing but the blend of quidpith with sistople.

As abstract polytope gaquipadah is isomorphic to iquipadah, thereby replacing octagrams by octagons, resp. stop by op.

Incidence matrix

64 |  2  1  1  2 |  3  4  2  2 1 |  1  3  2 2
---+-------------+---------------+-----------
 2 | 64  *  *  * |  2  2  0  0 0 |  1  2  1 0
 2 |  * 32  *  * |  2  0  2  0 1 |  1  2  0 2
 2 |  *  * 32  * |  0  2  0  2 1 |  0  1  2 2
 2 |  *  *  * 64 |  0  1  1  1 0 |  0  1  1 1
---+-------------+---------------+-----------
 3 |  2  1  0  0 | 64  *  *  * * |  1  1  0 0
 4 |  2  0  1  1 |  * 64  *  * * |  0  1  1 0
 4 |  0  2  0  2 |  *  * 32  * * |  0  1  0 1
 4 |  0  0  2  2 |  *  *  * 32 * |  0  0  1 1
 8 |  0  4  4  0 |  *  *  *  * 8 |  0  0  0 2  {8/3}
---+-------------+---------------+-----------
 4 |  4  2  0  0 |  4  0  0  0 0 | 16  *  * *  tet
 6 |  4  2  1  2 |  2  2  1  0 0 |  * 32  * *  trip
 8 |  4  0  4  4 |  0  4  0  2 0 |  *  * 16 *  cube
16 |  0  8  8  8 |  0  0  4  4 2 |  *  *  * 8  stop