Acronym	snappoth
Name	small spinoprismatotesseractihexadecachoron
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, 184, 56
External links

As abstract polytope snappoth is isomorphic to gnappoth, thereby replacing octagons by octagrams, resp. sroh by groh.

Incidence matrix

64 |  3  3 |  3  6  3 |  1  3 3
---+-------+----------+--------
 2 | 96  * |  2  2  1 |  1  2 2
 2 |  * 96 |  0  2  1 |  0  1 2
---+-------+----------+--------
 3 |  3  0 | 64  *  * |  1  1 0
 4 |  2  2 |  * 96  * |  0  1 1
 8 |  4  4 |  *  * 24 |  0  0 2
---+-------+----------+--------
 4 |  6  0 |  4  0  0 | 16  * *  (tet)
 6 |  6  3 |  2  3  0 |  * 32 *  (trip)
24 | 24 24 |  0 12  6 |  *  * 8  (sroh)