Acronym	paqri
Name	prismatoquasirhombated icositetrachoron
Circumradius	sqrt[8-3 sqrt(2)] = 1.938391
Colonel of regiment	gipti
Face vector	576, 1440, 1104, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope paqri is isomorphic to prico, thereby replacing querco by sirco. – As such paqri is a lieutenant.

Incidence matrix according to Dynkin symbol

x3x4o3/2x

. . .   . | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
----------+-----+-------------+---------------------+------------
x . .   . |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x .   . |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. . .   x |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
----------+-----+-------------+---------------------+------------
x3x .   . |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x . .   x |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4o   . |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x .   x |   4 |   0   2   2 |   *   *   * 288   * |  0  1  0  1
. . o3/2x |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
----------+-----+-------------+---------------------+------------
x3x4o   . ♦  24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x .   x ♦  12 |   6   6   6 |   2   3   0   3   0 |  * 96  *  *
x . o3/2x ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4o3/2x ♦  24 |   0  24  24 |   0   0   6  12   8 |  *  *  * 24

x3x4/3o3x

. .   . . | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
----------+-----+-------------+---------------------+------------
x .   . . |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x   . . |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. .   . x |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
----------+-----+-------------+---------------------+------------
x3x   . . |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x .   . x |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4/3o . |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x   . x |   4 |   0   2   2 |   *   *   * 288   * |  0  1  0  1
. .   o3x |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
----------+-----+-------------+---------------------+------------
x3x4/3o . ♦  24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x   . x ♦  12 |   6   6   6 |   2   3   0   3   0 |  * 96  *  *
x .   o3x ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4/3o3x ♦  24 |   0  24  24 |   0   0   6  12   8 |  *  *  * 24