Acronym	girpith
Name	great rhombiprismated tesseractihexadecachoron
Cross sections	©
Circumradius	sqrt[4-2 sqrt(2)] = 1.082392
Coordinates	((2 sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment	quiproh
Face vector	192, 480, 304, 48
External links

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

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  {8/3}
----+------------+-------------+--------
 12 |  0  12  12 |  6  0  4  0 | 16  * *  cho
 16 |  8   8   8 |  4  4  0  2 |  * 24 *  stop
 48 | 24  24  24 |  0 12  8  6 |  *  * 8  quitco