Acronym	gahfipto
Name	great hexadecafeceted prismatotesseractioctachoron
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
Confer	blend-component: quercope
External links

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

It can be obtained as the blend of 4 quercopes.

Incidence matrix

64 |  3  3 |  3  3  6 | 1  3 3
---+-------+----------+-------
 2 | 96  * |  2  0  2 | 0  2 2
 2 |  * 96 |  0  2  2 | 1  1 2
---+-------+----------+-------
 3 |  3  0 | 64  *  * | 0  1 1
 4 |  0  4 |  * 48  * | 1  0 1
 4 |  2  2 |  *  * 96 | 0  1 1
---+-------+----------+-------
 8 |  0 12 |  0  6  0 | 8  * *  cube
 6 |  6  3 |  2  0  3 | * 32 *  trip
24 | 24 24 |  8  6 12 | *  * 8  querco