Acronym rocgrax
Name retrocelligreat rhombated hexateron
Field of sections
 ©
Circumradius sqrt(65/12) = 2.327373
Vertex figure
 ©
Colonel of regiment cograx
Face vector 360, 1080, 1080, 420, 53
Confer
general polytopal classes:
Wythoffian polytera  
External
links
hedrondude   polytopewiki  

Incidence matrix according to Dynkin symbol

x3x3x3x3/2o3*c

. . . .   .    | 360 |   1   1   2   2 |  1   2   2   2   2   2   1   1 |  2  2  2  1  1  2  1  1  1 | 2 1  1  1 1
---------------+-----+-----------------+--------------------------------+----------------------------+------------
x . . .   .    |   2 | 180   *   *   * |  1   2   2   0   0   0   0   0 |  2  2  2  1  1  0  0  0  0 | 2 1  1  1 0
. x . .   .    |   2 |   * 180   *   * |  1   0   0   2   2   0   0   0 |  2  2  0  0  0  2  1  1  0 | 2 1  1  0 1
. . x .   .    |   2 |   *   * 360   * |  0   1   0   1   0   1   1   0 |  1  0  1  1  0  1  1  0  1 | 1 1  0  1 1
. . . x   .    |   2 |   *   *   * 360 |  0   0   1   0   1   1   0   1 |  0  1  1  0  1  1  0  1  1 | 1 0  1  1 1
---------------+-----+-----------------+--------------------------------+----------------------------+------------
x3x . .   .    |   6 |   3   3   0   0 | 60   *   *   *   *   *   *   * |  2  2  0  0  0  0  0  0  0 | 2 1  1  0 0
x . x .   .    |   4 |   2   0   2   0 |  * 180   *   *   *   *   *   * |  1  0  1  1  0  0  0  0  0 | 1 1  0  1 0
x . . x   .    |   4 |   2   0   0   2 |  *   * 180   *   *   *   *   * |  0  1  1  0  1  0  0  0  0 | 1 0  1  1 0
. x3x .   .    |   6 |   0   3   3   0 |  *   *   * 120   *   *   *   * |  1  0  0  0  0  1  1  0  0 | 1 1  0  0 1
. x . x   .    |   4 |   0   2   0   2 |  *   *   *   * 180   *   *   * |  0  1  0  0  0  1  0  1  0 | 1 0  1  0 1
. . x3x   .    |   6 |   0   0   3   3 |  *   *   *   *   * 120   *   * |  0  0  1  0  0  1  0  0  1 | 1 0  0  1 1
. . x .   o3*c |   3 |   0   0   3   0 |  *   *   *   *   *   * 120   * |  0  0  0  1  0  0  1  0  1 | 0 1  0  1 1
. . . x3/2o    |   3 |   0   0   0   3 |  *   *   *   *   *   *   * 120 |  0  0  0  0  1  0  0  1  1 | 0 0  1  1 1
---------------+-----+-----------------+--------------------------------+----------------------------+------------
x3x3x .   .      24 |  12  12  12   0 |  4   6   0   4   0   0   0   0 | 30  *  *  *  *  *  *  *  * | 1 1  0  0 0
x3x . x   .      12 |   6   6   0   6 |  2   0   3   0   3   0   0   0 |  * 60  *  *  *  *  *  *  * | 1 0  1  0 0
x . x3x   .      12 |   6   0   6   6 |  0   3   3   0   0   2   0   0 |  *  * 60  *  *  *  *  *  * | 1 0  0  1 0
x . x .   o3*c    6 |   3   0   6   0 |  0   3   0   0   0   0   2   0 |  *  *  * 60  *  *  *  *  * | 0 1  0  1 0
x . . x3/2o       6 |   3   0   0   6 |  0   0   3   0   0   0   0   2 |  *  *  *  * 60  *  *  *  * | 0 0  1  1 0
. x3x3x   .      24 |   0  12  12  12 |  0   0   0   4   6   4   0   0 |  *  *  *  *  * 30  *  *  * | 1 0  0  0 1
. x3x .   o3*c   12 |   0   6  12   0 |  0   0   0   4   0   0   4   0 |  *  *  *  *  *  * 30  *  * | 0 1  0  0 1
. x . x3/2o       6 |   0   3   0   6 |  0   0   0   0   3   0   0   2 |  *  *  *  *  *  *  * 60  * | 0 0  1  0 1
. . x3x3/2o3*c   12 |   0   0  12  12 |  0   0   0   0   0   4   4   4 |  *  *  *  *  *  *  *  * 30 | 0 0  0  1 1
---------------+-----+-----------------+--------------------------------+----------------------------+------------
x3x3x3x   .     120 |  60  60  60  60 | 20  30  30  20  30  20   0   0 |  5 10 10  0  0  5  0  0  0 | 6 *  *  * *
x3x3x .   o3*c   60 |  30  30  60   0 | 10  30   0  20   0   0  20   0 |  5  0  0 10  0  0  5  0  0 | * 6  *  * *
x3x . x3/2o      18 |   9   9   0  18 |  3   0   9   0   9   0   0   6 |  0  3  0  0  3  0  0  3  0 | * * 20  * *
x . x3x3/2o3*c   24 |  12   0  24  24 |  0  12  12   0   0   8   8   8 |  0  0  4  4  4  0  0  0  2 | * *  * 15 *
. x3x3x3/2o3*c   60 |   0  30  60  60 |  0   0   0  20  30  20  20  20 |  0  0  0  0  0  5  5 10  5 | * *  *  * 6

x3x3x3x3o3/2*c

. . . . .      | 360 |   1   1   2   2 |  1   2   2   2   2   2   1   1 |  2  2  2  1  1  2  1  1  1 | 2 1  1  1 1
---------------+-----+-----------------+--------------------------------+----------------------------+------------
x . . . .      |   2 | 180   *   *   * |  1   2   2   0   0   0   0   0 |  2  2  2  1  1  0  0  0  0 | 2 1  1  1 0
. x . . .      |   2 |   * 180   *   * |  1   0   0   2   2   0   0   0 |  2  2  0  0  0  2  1  1  0 | 2 1  1  0 1
. . x . .      |   2 |   *   * 360   * |  0   1   0   1   0   1   1   0 |  1  0  1  1  0  1  1  0  1 | 1 1  0  1 1
. . . x .      |   2 |   *   *   * 360 |  0   0   1   0   1   1   0   1 |  0  1  1  0  1  1  0  1  1 | 1 0  1  1 1
---------------+-----+-----------------+--------------------------------+----------------------------+------------
x3x . . .      |   6 |   3   3   0   0 | 60   *   *   *   *   *   *   * |  2  2  0  0  0  0  0  0  0 | 2 1  1  0 0
x . x . .      |   4 |   2   0   2   0 |  * 180   *   *   *   *   *   * |  1  0  1  1  0  0  0  0  0 | 1 1  0  1 0
x . . x .      |   4 |   2   0   0   2 |  *   * 180   *   *   *   *   * |  0  1  1  0  1  0  0  0  0 | 1 0  1  1 0
. x3x . .      |   6 |   0   3   3   0 |  *   *   * 120   *   *   *   * |  1  0  0  0  0  1  1  0  0 | 1 1  0  0 1
. x . x .      |   4 |   0   2   0   2 |  *   *   *   * 180   *   *   * |  0  1  0  0  0  1  0  1  0 | 1 0  1  0 1
. . x3x .      |   6 |   0   0   3   3 |  *   *   *   *   * 120   *   * |  0  0  1  0  0  1  0  0  1 | 1 0  0  1 1
. . x . o3/2*c |   3 |   0   0   3   0 |  *   *   *   *   *   * 120   * |  0  0  0  1  0  0  1  0  1 | 0 1  0  1 1
. . . x3o      |   3 |   0   0   0   3 |  *   *   *   *   *   *   * 120 |  0  0  0  0  1  0  0  1  1 | 0 0  1  1 1
---------------+-----+-----------------+--------------------------------+----------------------------+------------
x3x3x . .        24 |  12  12  12   0 |  4   6   0   4   0   0   0   0 | 30  *  *  *  *  *  *  *  * | 1 1  0  0 0
x3x . x .        12 |   6   6   0   6 |  2   0   3   0   3   0   0   0 |  * 60  *  *  *  *  *  *  * | 1 0  1  0 0
x . x3x .        12 |   6   0   6   6 |  0   3   3   0   0   2   0   0 |  *  * 60  *  *  *  *  *  * | 1 0  0  1 0
x . x . o3/2*c    6 |   3   0   6   0 |  0   3   0   0   0   0   2   0 |  *  *  * 60  *  *  *  *  * | 0 1  0  1 0
x . . x3o         6 |   3   0   0   6 |  0   0   3   0   0   0   0   2 |  *  *  *  * 60  *  *  *  * | 0 0  1  1 0
. x3x3x .        24 |   0  12  12  12 |  0   0   0   4   6   4   0   0 |  *  *  *  *  * 30  *  *  * | 1 0  0  0 1
. x3x . o3/2*c   12 |   0   6  12   0 |  0   0   0   4   0   0   4   0 |  *  *  *  *  *  * 30  *  * | 0 1  0  0 1
. x . x3o         6 |   0   3   0   6 |  0   0   0   0   3   0   0   2 |  *  *  *  *  *  *  * 60  * | 0 0  1  0 1
. . x3x3o3/2*c   12 |   0   0  12  12 |  0   0   0   0   0   4   4   4 |  *  *  *  *  *  *  *  * 30 | 0 0  0  1 1
---------------+-----+-----------------+--------------------------------+----------------------------+------------
x3x3x3x .       120 |  60  60  60  60 | 20  30  30  20  30  20   0   0 |  5 10 10  0  0  5  0  0  0 | 6 *  *  * *
x3x3x . o3/2*c   60 |  30  30  60   0 | 10  30   0  20   0   0  20   0 |  5  0  0 10  0  0  5  0  0 | * 6  *  * *
x3x . x3o        18 |   9   9   0  18 |  3   0   9   0   9   0   0   6 |  0  3  0  0  3  0  0  3  0 | * * 20  * *
x . x3x3o3/2*c   24 |  12   0  24  24 |  0  12  12   0   0   8   8   8 |  0  0  4  4  4  0  0  0  2 | * *  * 15 *
. x3x3x3o3/2*c   60 |   0  30  60  60 |  0   0   0  20  30  20  20  20 |  0  0  0  0  0  5  5 10  5 | * *  *  * 6

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