Acronym	shafipto
Name	small hexadecafaceted prismatotesseractioctachoron
Cross sections	©
Circumradius	sqrt[(3+sqrt(2))/2] = 1.485633
Coordinates	((1+sqrt(2))/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army	sidpith
Colonel of regiment	sidpith
Face vector	64, 192, 208, 48
Confer	Grünbaumian relatives: shafipto+32tet   blend-component: sircope
External links

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

It can be obtained as the blend of 4 sircopes.

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  * *
♦  6 |  6  3 |  2  0  3 | * 32 *
♦ 24 | 24 24 |  8  6 12 | *  * 8