Acronym cubesirco
Name cube-small-rhombicuboctahedron duoprism
Circumradius sqrt[2+1/sqrt(2)] = 1.645329
Volume [12+10 sqrt(2)]/3 = 8.714045

Incidence matrix according to Dynkin symbol

o3o4x x3o4x

o3o4o o3o4o | 192 |   3   2   2 |   3   6   6  1  2  1 |  1   6   6  3   6  3 1 |  2  2  3  6  3  3 | 1  2 1 3
------------+-----+-------------+----------------------+------------------------+-------------------+---------
. . x . . . |   2 | 288   *   * |   2   2   2  0  0  0 |  1   4   4  1   2  1 0 |  2  2  2  4  2  1 | 1  2 1 2
. . . x . . |   2 |   * 192   * |   0   3   0  1  1  0 |  0   3   0  3   3  0 1 |  1  0  3  3  0  3 | 1  1 0 3
. . . . . x |   2 |   *   * 192 |   0   0   3  0  1  1 |  0   0   3  0   3  3 1 |  0  1  0  3  3  3 | 0  1 1 3
------------+-----+-------------+----------------------+------------------------+-------------------+---------
. o4x . . . |   4 |   4   0   0 | 144   *   *  *  *  * |  1   2   2  0   0  0 0 |  2  2  1  2  1  0 | 1  2 1 1
. . x x . . |   4 |   2   2   0 |   * 288   *  *  *  * |  0   2   0  1   1  0 0 |  1  0  2  2  0  1 | 1  1 0 2
. . x . . x |   4 |   2   0   2 |   *   * 288  *  *  * |  0   0   2  0   1  1 0 |  0  1  0  2  2  1 | 0  1 1 2
. . . x3o . |   3 |   0   3   0 |   *   *   * 64  *  * |  0   0   0  3   0  0 1 |  0  0  3  0  0  3 | 1  0 0 3
. . . x . x |   4 |   0   2   2 |   *   *   *  * 96  * |  0   0   0  0   3  0 1 |  0  0  0  3  0  3 | 0  1 0 3
. . . . o4x |   4 |   0   0   4 |   *   *   *  *  * 48 |  0   0   0  0   0  3 1 |  0  0  0  0  3  3 | 0  0 1 3
------------+-----+-------------+----------------------+------------------------+-------------------+---------
o3o4x . . .    8 |  12   0   0 |   6   0   0  0  0  0 | 24   *   *  *   *  * * |  2  2  0  0  0  0 | 1  2 1 0
. o4x x . .    8 |   8   4   0 |   2   4   0  0  0  0 |  * 144   *  *   *  * * |  1  0  1  1  0  0 | 1  1 0 1
. o4x . . x    8 |   8   0   4 |   2   0   4  0  0  0 |  *   * 144  *   *  * * |  0  1  0  1  1  0 | 0  1 1 1
. . x x3o .    6 |   3   6   0 |   0   3   0  2  0  0 |  *   *   * 96   *  * * |  0  0  2  0  0  1 | 1  0 0 2
. . x x . x    8 |   4   4   4 |   0   2   2  0  2  0 |  *   *   *  * 144  * * |  0  0  0  2  0  1 | 0  1 0 2
. . x . o4x    8 |   4   0   8 |   0   0   4  0  0  2 |  *   *   *  *   * 72 * |  0  0  0  0  2  1 | 0  0 1 2
. . . x3o4x   24 |   0  24  24 |   0   0   0  8 12  6 |  *   *   *  *   *  * 8 |  0  0  0  0  0  3 | 0  0 0 3
------------+-----+-------------+----------------------+------------------------+-------------------+---------
o3o4x x . .   16 |  24   8   0 |  12  12   0  0  0  0 |  2   6   0  0   0  0 0 | 24  *  *  *  *  * | 1  1 0 0
o3o4x . . x   16 |  24   0   8 |  12   0  12  0  0  0 |  2   0   6  0   0  0 0 |  * 24  *  *  *  * | 0  1 1 0
. o4x x3o .   12 |  12  12   0 |   3  12   0  4  0  0 |  0   3   0  4   0  0 0 |  *  * 48  *  *  * | 1  0 0 1
. o4x x . x   16 |  16   8   8 |   4   8   8  0  4  0 |  0   2   2  0   4  0 0 |  *  *  * 72  *  * | 0  1 0 1
. o4x . o4x   16 |  16   0  16 |   4   0  16  0  0  4 |  0   0   4  0   0  4 0 |  *  *  *  * 36  * | 0  0 1 1
. . x x3o4x   48 |  24  48  48 |   0  24  24 16 24 12 |  0   0   0  8  12  6 2 |  *  *  *  *  * 12 | 0  0 0 2
------------+-----+-------------+----------------------+------------------------+-------------------+---------
o3o4x x3o .   24 |  36  24   0 |  18  36   0  8  0  0 |  3  18   0 12   0  0 0 |  3  0  6  0  0  0 | 8  * * *
o3o4x x . x   32 |  48  16  16 |  24  24  24  0  8  0 |  4  12  12  0  12  0 0 |  2  2  0  6  0  0 | * 12 * *
o3o4x . o4x   32 |  48   0  32 |  24   0  48  0  0  8 |  4   0  24  0   0 12 0 |  0  4  0  0  6  0 | *  * 6 *
. o4x x3o4x   96 |  96  96  96 |  24  96  96 32 48 24 |  0  24  24 32  48 24 4 |  0  0  8 12  6  4 | *  * * 6

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