Acronym	rocrax (old: sircrax)
Name	(small) retrocellirhombated hexateron
Circumradius	sqrt(11)/2 = 1.658312
General of army	card
Colonel of regiment	card
Face vector	180, 720, 840, 360, 53
Confer	general polytopal classes: Wythoffian polytera
External links

Incidence matrix according to Dynkin symbol

x3o3x3x3o3/2*c

. . . . .      | 180 |   2   4   2 |  1   4   4   2   4   2  1 |  2  2  4  2  2  2  1  2 | 2 1  1  2 1
---------------+-----+-------------+---------------------------+-------------------------+------------
x . . . .      |   2 | 180   *   * |  1   2   2   0   0   0  0 |  2  2  2  1  1  0  0  0 | 2 1  1  1 0
. . x . .      |   2 |   * 360   * |  0   1   0   1   1   1  0 |  1  0  1  1  0  1  1  1 | 1 1  0  1 1
. . . x .      |   2 |   *   * 180 |  0   0   2   0   2   0  1 |  0  1  2  0  2  1  0  2 | 1 0  1  2 1
---------------+-----+-------------+---------------------------+-------------------------+------------
x3o . . .      |   3 |   3   0   0 | 60   *   *   *   *   *  * |  2  2  0  0  0  0  0  0 | 2 1  1  0 0
x . x . .      |   4 |   2   2   0 |  * 180   *   *   *   *  * |  1  0  1  1  0  0  0  0 | 1 1  0  1 0
x . . x .      |   4 |   2   0   2 |  *   * 180   *   *   *  * |  0  1  1  0  1  0  0  0 | 1 0  1  1 0
. o3x . .      |   3 |   0   3   0 |  *   *   * 120   *   *  * |  1  0  0  0  0  1  1  0 | 1 1  0  0 1
. . x3x .      |   6 |   0   3   3 |  *   *   *   * 120   *  * |  0  0  1  0  0  1  0  1 | 1 0  0  1 1
. . x . o3/2*c |   3 |   0   3   0 |  *   *   *   *   * 120  * |  0  0  0  1  0  0  1  1 | 0 1  0  1 1
. . . x3o      |   3 |   0   0   3 |  *   *   *   *   *   * 60 |  0  0  0  0  2  0  0  2 | 0 0  1  2 1
---------------+-----+-------------+---------------------------+-------------------------+------------
x3o3x . .      ♦  12 |  12  12   0 |  4   6   0   4   0   0  0 | 30  *  *  *  *  *  *  * | 1 1  0  0 0
x3o . x .      ♦   6 |   6   0   3 |  2   0   3   0   0   0  0 |  * 60  *  *  *  *  *  * | 1 0  1  0 0
x . x3x .      ♦  12 |   6   6   6 |  0   3   3   0   2   0  0 |  *  * 60  *  *  *  *  * | 1 0  0  1 0
x . x . o3/2*c ♦   6 |   3   6   0 |  0   3   0   0   0   2  0 |  *  *  * 60  *  *  *  * | 0 1  0  1 0
x . . x3o      ♦   6 |   3   0   6 |  0   0   3   0   0   0  2 |  *  *  *  * 60  *  *  * | 0 0  1  1 0
. o3x3x .      ♦  12 |   0  12   6 |  0   0   0   4   4   0  0 |  *  *  *  *  * 30  *  * | 1 0  0  0 1
. o3x . o3/2*c ♦   6 |   0  12   0 |  0   0   0   4   0   4  0 |  *  *  *  *  *  * 30  * | 0 1  0  0 1
. . x3x3o3/2*c ♦  12 |   0  12  12 |  0   0   0   0   4   4  4 |  *  *  *  *  *  *  * 30 | 0 0  0  1 1
---------------+-----+-------------+---------------------------+-------------------------+------------
x3o3x3x .      ♦  60 |  60  60  30 | 20  30  30  20  20   0  0 |  5 10 10  0  0  5  0  0 | 6 *  *  * *
x3o3x . o3/2*c ♦  30 |  30  60   0 | 10  30   0  20   0  20  0 |  5  0  0 10  0  0  5  0 | * 6  *  * *
x3o . x3o      ♦   9 |   9   0   9 |  3   0   9   0   0   0  3 |  0  3  0  0  3  0  0  0 | * * 20  * *
x . x3x3o3/2*c ♦  24 |  12  24  24 |  0  12  12   0   8   8  8 |  0  0  4  4  4  0  0  2 | * *  * 15 *
. o3x3x3o3/2*c ♦  30 |   0  60  30 |  0   0   0  20  20  20 10 |  0  0  0  0  0  5  5  5 | * *  *  * 6

x3o3x3x3/2o3*c

. . . .   .    | 180 |   2   4   2 |  1   4   4   2   4   2  1 |  2  2  4  2  2  2  1  2 | 2 1  1  2 1
---------------+-----+-------------+---------------------------+-------------------------+------------
x . . .   .    |   2 | 180   *   * |  1   2   2   0   0   0  0 |  2  2  2  1  1  0  0  0 | 2 1  1  1 0
. . x .   .    |   2 |   * 360   * |  0   1   0   1   1   1  0 |  1  0  1  1  0  1  1  1 | 1 1  0  1 1
. . . x   .    |   2 |   *   * 180 |  0   0   2   0   2   0  1 |  0  1  2  0  2  1  0  2 | 1 0  1  2 1
---------------+-----+-------------+---------------------------+-------------------------+------------
x3o . .   .    |   3 |   3   0   0 | 60   *   *   *   *   *  * |  2  2  0  0  0  0  0  0 | 2 1  1  0 0
x . x .   .    |   4 |   2   2   0 |  * 180   *   *   *   *  * |  1  0  1  1  0  0  0  0 | 1 1  0  1 0
x . . x   .    |   4 |   2   0   2 |  *   * 180   *   *   *  * |  0  1  1  0  1  0  0  0 | 1 0  1  1 0
. o3x .   .    |   3 |   0   3   0 |  *   *   * 120   *   *  * |  1  0  0  0  0  1  1  0 | 1 1  0  0 1
. . x3x   .    |   6 |   0   3   3 |  *   *   *   * 120   *  * |  0  0  1  0  0  1  0  1 | 1 0  0  1 1
. . x .   o3*c |   3 |   0   3   0 |  *   *   *   *   * 120  * |  0  0  0  1  0  0  1  1 | 0 1  0  1 1
. . . x3/2o    |   3 |   0   0   3 |  *   *   *   *   *   * 60 |  0  0  0  0  2  0  0  2 | 0 0  1  2 1
---------------+-----+-------------+---------------------------+-------------------------+------------
x3o3x .   .    ♦  12 |  12  12   0 |  4   6   0   4   0   0  0 | 30  *  *  *  *  *  *  * | 1 1  0  0 0
x3o . x   .    ♦   6 |   6   0   3 |  2   0   3   0   0   0  0 |  * 60  *  *  *  *  *  * | 1 0  1  0 0
x . x3x   .    ♦  12 |   6   6   6 |  0   3   3   0   2   0  0 |  *  * 60  *  *  *  *  * | 1 0  0  1 0
x . x .   o3*c ♦   6 |   3   6   0 |  0   3   0   0   0   2  0 |  *  *  * 60  *  *  *  * | 0 1  0  1 0
x . . x3/2o    ♦   6 |   3   0   6 |  0   0   3   0   0   0  2 |  *  *  *  * 60  *  *  * | 0 0  1  1 0
. o3x3x   .    ♦  12 |   0  12   6 |  0   0   0   4   4   0  0 |  *  *  *  *  * 30  *  * | 1 0  0  0 1
. o3x .   o3*c ♦   6 |   0  12   0 |  0   0   0   4   0   4  0 |  *  *  *  *  *  * 30  * | 0 1  0  0 1
. . x3x3/2o3*c ♦  12 |   0  12  12 |  0   0   0   0   4   4  4 |  *  *  *  *  *  *  * 30 | 0 0  0  1 1
---------------+-----+-------------+---------------------------+-------------------------+------------
x3o3x3x   .    ♦  60 |  60  60  30 | 20  30  30  20  20   0  0 |  5 10 10  0  0  5  0  0 | 6 *  *  * *
x3o3x .   o3*c ♦  30 |  30  60   0 | 10  30   0  20   0  20  0 |  5  0  0 10  0  0  5  0 | * 6  *  * *
x3o . x3/2o    ♦   9 |   9   0   9 |  3   0   9   0   0   0  3 |  0  3  0  0  3  0  0  0 | * * 20  * *
x . x3x3/2o3*c ♦  24 |  12  24  24 |  0  12  12   0   8   8  8 |  0  0  4  4  4  0  0  2 | * *  * 15 *
. o3x3x3/2o3*c ♦  30 |   0  60  30 |  0   0   0  20  20  20 10 |  0  0  0  0  0  5  5  5 | * *  *  * 6