Acronym	gaqri
Name	great quasirhombated icositetrachoron
Cross sections	©
Circumradius	sqrt[10-6 sqrt(2)] = 1.230739
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: quitco quith trip gaqri 24 24 96 )
Face vector	576, 1152, 720, 144
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gaqri is isomorphic to grico, thereby replacing the octagrams by octagons, resp. replacing quitco by girco and quith by tic.

Incidence matrix according to Dynkin symbol

x3x4/3x3o

. .   . . | 576 |   1   1   2 |  1   2   2   1 |  2  1  1
----------+-----+-------------+----------------+---------
x .   . . |   2 | 288   *   * |  1   2   0   0 |  2  1  0
. x   . . |   2 |   * 288   * |  1   0   2   0 |  2  0  1
. .   x . |   2 |   *   * 576 |  0   1   1   1 |  1  1  1
----------+-----+-------------+----------------+---------
x3x   . . |   6 |   3   3   0 | 96   *   *   * |  2  0  0
x .   x . |   4 |   2   0   2 |  * 288   *   * |  1  1  0
. x4/3x . |   8 |   0   4   4 |  *   * 144   * |  1  0  1
. .   x3o |   3 |   0   0   3 |  *   *   * 192 |  0  1  1
----------+-----+-------------+----------------+---------
x3x4/3x . ♦  48 |  24  24  24 |  8  12   6   0 | 24  *  *
x .   x3o ♦   6 |   3   0   6 |  0   3   0   2 |  * 96  *
. x4/3x3o ♦  24 |   0  12  24 |  0   0   6   8 |  *  * 24

x3x4/3x3/2o

. .   .   . | 576 |   1   1   2 |  1   2   2   1 |  2  1  1
------------+-----+-------------+----------------+---------
x .   .   . |   2 | 288   *   * |  1   2   0   0 |  2  1  0
. x   .   . |   2 |   * 288   * |  1   0   2   0 |  2  0  1
. .   x   . |   2 |   *   * 576 |  0   1   1   1 |  1  1  1
------------+-----+-------------+----------------+---------
x3x   .   . |   6 |   3   3   0 | 96   *   *   * |  2  0  0
x .   x   . |   4 |   2   0   2 |  * 288   *   * |  1  1  0
. x4/3x   . |   8 |   0   4   4 |  *   * 144   * |  1  0  1
. .   x3/2o |   3 |   0   0   3 |  *   *   * 192 |  0  1  1
------------+-----+-------------+----------------+---------
x3x4/3x   . ♦  48 |  24  24  24 |  8  12   6   0 | 24  *  *
x .   x3/2o ♦   6 |   3   0   6 |  0   3   0   2 |  * 96  *
. x4/3x3/2o ♦  24 |   0  12  24 |  0   0   6   8 |  *  * 24