Acronym	sirpith
Name	small rhombiprismated tesseractihexadecachoron
Cross sections	©
Circumradius	sqrt[4+2 sqrt(2)] = 2.613126
Coordinates	((1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment	proh
Face vector	192, 480, 304, 48
External links

As abstract polychoron sirpith is isomorphic to girpith, thereby replacing octagons by octagrams, resp. op by stop and girco by quitco.

Incidence matrix

192 |  1   2   2 |  2  2  2  2 |  1  2 2
----+------------+-------------+--------
  2 | 96   *   * |  0  2  0  2 |  0  2 2
  2 |  * 192   * |  1  0  1  1 |  1  1 1
  2 |  *   * 192 |  1  1  1  0 |  1  1 1
----+------------+-------------+--------
  4 |  0   2   2 | 96  *  *  * |  1  1 0
  4 |  2   0   2 |  * 96  *  * |  0  1 1
  6 |  0   3   3 |  *  * 64  * |  1  0 1
  8 |  4   4   0 |  *  *  * 48 |  0  1 1  {8}
----+------------+-------------+--------
 12 |  0  12  12 |  6  0  4  0 | 16  * *  cho
 16 |  8   8   8 |  4  4  0  2 |  * 24 *  op
 48 | 24  24  24 |  0 12  8  6 |  *  * 8  girco