Acronym	qrico
Name	quasirhombated icositetrachoron
Circumradius	sqrt(4-2 sqrt(2)) = 1.082392
Colonel of regiment	wavaty
Face vector	288, 864, 720, 144
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x3o4/3x3o

. .   . . | 288 |   2   4 |  1   4   2   2 |  2  2  1
----------+-----+---------+----------------+---------
x .   . . |   2 | 288   * |  1   2   0   0 |  2  1  0
. .   x . |   2 |   * 576 |  0   1   1   1 |  1  1  1
----------+-----+---------+----------------+---------
x3o   . . |   3 |   3   0 | 96   *   *   * |  2  0  0
x .   x . |   4 |   2   2 |  * 288   *   * |  1  1  0
. o4/3x . |   4 |   0   4 |  *   * 144   * |  1  0  1
. .   x3o |   3 |   0   3 |  *   *   * 192 |  0  1  1
----------+-----+---------+----------------+---------
x3o4/3x . ♦  24 |  24  24 |  8  12   6   0 | 24  *  *
x .   x3o ♦   6 |   3   6 |  0   3   0   2 |  * 96  *
. o4/3x3o ♦  12 |   0  24 |  0   0   6   8 |  *  * 24

x3o4/3x3/2o

. .   .   . | 288 |   2   4 |  1   4   2   2 |  2  2  1
------------+-----+---------+----------------+---------
x .   .   . |   2 | 288   * |  1   2   0   0 |  2  1  0
. .   x   . |   2 |   * 576 |  0   1   1   1 |  1  1  1
------------+-----+---------+----------------+---------
x3o   .   . |   3 |   3   0 | 96   *   *   * |  2  0  0
x .   x   . |   4 |   2   2 |  * 288   *   * |  1  1  0
. o4/3x   . |   4 |   0   4 |  *   * 144   * |  1  0  1
. .   x3/2o |   3 |   0   3 |  *   *   * 192 |  0  1  1
------------+-----+---------+----------------+---------
x3o4/3x   . ♦  24 |  24  24 |  8  12   6   0 | 24  *  *
x .   x3/2o ♦   6 |   3   6 |  0   3   0   2 |  * 96  *
. o4/3x3/2o ♦  12 |   0  24 |  0   0   6   8 |  *  * 24

x3/2o4x3o

.   . . . | 288 |   2   4 |  1   4   2   2 |  2  2  1
----------+-----+---------+----------------+---------
x   . . . |   2 | 288   * |  1   2   0   0 |  2  1  0
.   . x . |   2 |   * 576 |  0   1   1   1 |  1  1  1
----------+-----+---------+----------------+---------
x3/2o . . |   3 |   3   0 | 96   *   *   * |  2  0  0
x   . x . |   4 |   2   2 |  * 288   *   * |  1  1  0
.   o4x . |   4 |   0   4 |  *   * 144   * |  1  0  1
.   . x3o |   3 |   0   3 |  *   *   * 192 |  0  1  1
----------+-----+---------+----------------+---------
x3/2o4x . ♦  24 |  24  24 |  8  12   6   0 | 24  *  *
x   . x3o ♦   6 |   3   6 |  0   3   0   2 |  * 96  *
.   o4x3o ♦  12 |   0  24 |  0   0   6   8 |  *  * 24

x3/2o4x3/2o

.   . .   . | 288 |   2   4 |  1   4   2   2 |  2  2  1
------------+-----+---------+----------------+---------
x   . .   . |   2 | 288   * |  1   2   0   0 |  2  1  0
.   . x   . |   2 |   * 576 |  0   1   1   1 |  1  1  1
------------+-----+---------+----------------+---------
x3/2o .   . |   3 |   3   0 | 96   *   *   * |  2  0  0
x   . x   . |   4 |   2   2 |  * 288   *   * |  1  1  0
.   o4x   . |   4 |   0   4 |  *   * 144   * |  1  0  1
.   . x3/2o |   3 |   0   3 |  *   *   * 192 |  0  1  1
------------+-----+---------+----------------+---------
x3/2o4x   . ♦  24 |  24  24 |  8  12   6   0 | 24  *  *
x   . x3/2o ♦   6 |   3   6 |  0   3   0   2 |  * 96  *
.   o4x3/2o ♦  12 |   0  24 |  0   0   6   8 |  *  * 24