Acronym	picnut
Name	prismatocubiintercepted tesseract
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, 232, 64
External links

As abstract polytope picnut is isomorphic to dippit, thereby replacing octagrams by octagons, resp. gocco by socco.

Incidence matrix

64 |  3  3 |  3  3  6  3 |  3  3 3
---+-------+-------------+--------
 2 | 96  * |  2  0  2  1 |  2  1 2
 2 |  * 96 |  0  2  2  1 |  1  2 2
---+-------+-------------+--------
 3 |  3  0 | 64  *  *  * |  1  0 1
 4 |  0  4 |  * 48  *  * |  0  1 1
 4 |  2  2 |  *  * 96  * |  1  1 0
 8 |  4  4 |  *  *  * 24 |  0  0 2  {8/3}
---+-------+-------------+--------
 6 |  6  3 |  2  0  3  0 | 32  * *  trip
 8 |  4  8 |  0  2  4  0 |  * 24 *  cube
24 | 24 24 |  8  6  0  6 |  *  * 8  gocco