Acronym sircotic
Name small-rhombicuboctahedron - truncated-cube duoprism
Circumradius sqrt[(6+3 sqrt(2))/2] = 2.263033
Volume [532+378 sqrt(2)]/9 = 118.508081
Face vector 576, 2016, 2688, 1656, 448, 40
Confer
general polytopal classes:
Wythoffian polypeta  

Incidence matrix according to Dynkin symbol

x3o4x o3x4x

. . . . . . | 576 |   2   2   2   1 |   1   2   4   2   1   4   2   1   2 |  1   2  1   4   2   2   4   2  1   2   4  1 |  2  1  1  2  2  4  2  1  2  2 | 1 2 1  2 1
------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+-----------
x . . . . . |   2 | 576   *   *   * |   1   1   2   1   0   0   0   0   0 |  1   2  1   2   1   1   2   0  0   0   0  0 |  2  1  1  2  1  2  1  0  0  0 | 1 2 1  1 0
. . x . . . |   2 |   * 576   *   * |   0   1   0   0   1   2   1   0   0 |  1   0  0   2   1   0   0   2  1   1   2  0 |  2  1  0  0  1  2  0  1  2  1 | 1 2 0  1 1
. . . . x . |   2 |   *   * 576   * |   0   0   2   0   0   2   0   1   1 |  0   1  0   2   0   2   2   1  0   2   2  1 |  1  0  1  1  2  2  2  1  1  2 | 1 1 1  2 1
. . . . . x |   2 |   *   *   * 288 |   0   0   0   2   0   0   2   0   2 |  0   0  1   0   2   0   4   0  1   0   4  1 |  0  1  0  2  0  4  2  0  2  2 | 0 2 1  2 1
------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+-----------
x3o . . . . |   3 |   3   0   0   0 | 192   *   *   *   *   *   *   *   * |  1   2  1   0   0   0   0   0  0   0   0  0 |  2  1  1  2  0  0  0  0  0  0 | 1 2 1  0 0
x . x . . . |   4 |   2   2   0   0 |   * 288   *   *   *   *   *   *   * |  1   0  0   2   1   0   0   0  0   0   0  0 |  2  1  0  0  1  2  0  0  0  0 | 1 2 0  1 0
x . . . x . |   4 |   2   0   2   0 |   *   * 576   *   *   *   *   *   * |  0   1  0   1   0   1   1   0  0   0   0  0 |  1  0  1  1  1  1  1  0  0  0 | 1 1 1  1 0
x . . . . x |   4 |   2   0   0   2 |   *   *   * 288   *   *   *   *   * |  0   0  1   0   1   0   2   0  0   0   0  0 |  0  1  0  2  0  2  1  0  0  0 | 0 2 1  1 0
. o4x . . . |   4 |   0   4   0   0 |   *   *   *   * 144   *   *   *   * |  1   0  0   0   0   0   0   2  1   0   0  0 |  2  1  0  0  0  0  0  1  2  0 | 1 2 0  0 1
. . x . x . |   4 |   0   2   2   0 |   *   *   *   *   * 576   *   *   * |  0   0  0   1   0   0   0   1  0   1   1  0 |  1  0  0  0  1  1  0  1  1  1 | 1 1 0  1 1
. . x . . x |   4 |   0   2   0   2 |   *   *   *   *   *   * 288   *   * |  0   0  0   0   1   0   0   0  1   0   2  0 |  0  1  0  0  0  2  0  0  2  1 | 0 2 0  1 1
. . . o3x . |   3 |   0   0   3   0 |   *   *   *   *   *   *   * 192   * |  0   0  0   0   0   2   0   0  0   2   0  1 |  0  0  1  0  2  0  2  1  0  2 | 1 0 1  2 1
. . . . x4x |   8 |   0   0   4   4 |   *   *   *   *   *   *   *   * 144 |  0   0  0   0   0   0   2   0  0   0   2  1 |  0  0  0  1  0  2  2  0  1  2 | 0 1 1  2 1
------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+-----------
x3o4x . . .   24 |  24  24   0   0 |   8  12   0   0   6   0   0   0   0 | 24   *  *   *   *   *   *   *  *   *   *  * |  2  1  0  0  0  0  0  0  0  0 | 1 2 0  0 0
x3o . . x .    6 |   6   0   3   0 |   2   0   3   0   0   0   0   0   0 |  * 192  *   *   *   *   *   *  *   *   *  * |  1  0  1  1  0  0  0  0  0  0 | 1 1 1  0 0
x3o . . . x    6 |   6   0   0   3 |   2   0   0   3   0   0   0   0   0 |  *   * 96   *   *   *   *   *  *   *   *  * |  0  1  0  2  0  0  0  0  0  0 | 0 2 1  0 0
x . x . x .    8 |   4   4   4   0 |   0   2   2   0   0   2   0   0   0 |  *   *  * 288   *   *   *   *  *   *   *  * |  1  0  0  0  1  1  0  0  0  0 | 1 1 0  1 0
x . x . . x    8 |   4   4   0   4 |   0   2   0   2   0   0   2   0   0 |  *   *  *   * 144   *   *   *  *   *   *  * |  0  1  0  0  0  2  0  0  0  0 | 0 2 0  1 0
x . . o3x .    6 |   3   0   6   0 |   0   0   3   0   0   0   0   2   0 |  *   *  *   *   * 192   *   *  *   *   *  * |  0  0  1  0  1  0  1  0  0  0 | 1 0 1  1 0
x . . . x4x   16 |   8   0   8   8 |   0   0   4   4   0   0   0   0   2 |  *   *  *   *   *   * 144   *  *   *   *  * |  0  0  0  1  0  1  1  0  0  0 | 0 1 1  1 0
. o4x . x .    8 |   0   8   4   0 |   0   0   0   0   2   4   0   0   0 |  *   *  *   *   *   *   * 144  *   *   *  * |  1  0  0  0  0  0  0  1  1  0 | 1 1 0  0 1
. o4x . . x    8 |   0   8   0   4 |   0   0   0   0   2   0   4   0   0 |  *   *  *   *   *   *   *   * 72   *   *  * |  0  1  0  0  0  0  0  0  2  0 | 0 2 0  0 1
. . x o3x .    6 |   0   3   6   0 |   0   0   0   0   0   3   0   2   0 |  *   *  *   *   *   *   *   *  * 192   *  * |  0  0  0  0  1  0  0  1  0  1 | 1 0 0  1 1
. . x . x4x   16 |   0   8   8   8 |   0   0   0   0   0   4   4   0   2 |  *   *  *   *   *   *   *   *  *   * 144  * |  0  0  0  0  0  1  0  0  1  1 | 0 1 0  1 2
. . . o3x4x   24 |   0   0  24  12 |   0   0   0   0   0   0   0   8   6 |  *   *  *   *   *   *   *   *  *   *   * 24 |  0  0  0  0  0  0  2  0  0  2 | 0 0 1  2 1
------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+-----------
x3o4x . x .   48 |  48  48  24   0 |  16  24  24   0  12  24   0   0   0 |  2   8  0  12   0   0   0   6  0   0   0  0 | 24  *  *  *  *  *  *  *  *  * | 1 1 0  0 0
x3o4x . . x   48 |  48  48   0  24 |  16  24   0  24  12   0  24   0   0 |  2   0  8   0  12   0   0   0  6   0   0  0 |  * 12  *  *  *  *  *  *  *  * | 0 2 0  0 0
x3o . o3x .    9 |   9   0   9   0 |   3   0   9   0   0   0   0   3   0 |  0   3  0   0   0   3   0   0  0   0   0  0 |  *  * 64  *  *  *  *  *  *  * | 1 0 1  0 0
x3o . . x4x   24 |  24   0  12  12 |   8   0  12  12   0   0   0   0   3 |  0   4  4   0   0   0   3   0  0   0   0  0 |  *  *  * 48  *  *  *  *  *  * | 0 1 1  0 0
x . x o3x .   12 |   6   6  12   0 |   0   3   6   0   0   6   0   4   0 |  0   0  0   3   0   2   0   0  0   2   0  0 |  *  *  *  * 96  *  *  *  *  * | 1 0 0  1 0
x . x . x4x   32 |  16  16  16  16 |   0   8   8   8   0   8   8   0   4 |  0   0  0   4   4   0   2   0  0   0   2  0 |  *  *  *  *  * 72  *  *  *  * | 0 1 0  1 0
x . . o3x4x   48 |  24   0  48  24 |   0   0  24  12   0   0   0  16  12 |  0   0  0   0   0   8   6   0  0   0   0  2 |  *  *  *  *  *  * 24  *  *  * | 0 0 1  1 0
. o4x o3x .   12 |   0  12  12   0 |   0   0   0   0   3  12   0   4   0 |  0   0  0   0   0   0   0   3  0   4   0  0 |  *  *  *  *  *  *  * 48  *  * | 1 0 0  0 1
. o4x . x4x   32 |   0  32  16  16 |   0   0   0   0   8  16  16   0   4 |  0   0  0   0   0   0   0   4  4   0   4  0 |  *  *  *  *  *  *  *  * 36  * | 0 1 0  0 1
. . x o3x4x   48 |   0  24  48  24 |   0   0   0   0   0  24  12  16  12 |  0   0  0   0   0   0   0   0  0   8   6  2 |  *  *  *  *  *  *  *  *  * 24 | 0 0 0  1 1
------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+-----------
x3o4x o3x .   72 |  72  72  72   0 |  24  36  72   0  18  72   0  24   0 |  3  24  0  36   0  24   0  18  0  24   0  0 |  3  0  8  0 12  0  0  6  0  0 | 8 * *  * *
x3o4x . x4x  192 | 192 192  96  96 |  64  96  96  96  48  96  96   0  24 |  8  32 32  48  48   0  24  24 24   0  24  0 |  4  4  0  8  0 12  0  0  6  0 | * 6 *  * *
x3o . o3x4x   72 |  72   0  72  36 |  24   0  72  36   0   0   0  24  18 |  0  24 12   0   0  24  18   0  0   0   0  3 |  0  0  8  6  0  0  3  0  0  0 | * * 8  * *
x . x o3x4x   96 |  48  48  96  48 |   0  24  48  24   0  48  24  32  24 |  0   0  0  24  12  16  12   0  0  16  12  4 |  0  0  0  0  8  6  2  0  0  2 | * * * 12 *
. o4x o3x4x   96 |   0  96  96  48 |   0   0   0   0  24  96  48  32  24 |  0   0  0   0   0   0   0  24 12  32  48  4 |  0  0  0  0  0  0  0  8  6  4 | * * *  * 6

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