Acronym trarico
Name triangle - rectified-icositetrachoron duoprism
Circumradius sqrt(10/3) = 1.825742
Face vector 288, 1152, 1680, 1152, 387, 51
Confer
more general:
n,rico-dip  
general polytopal classes:
Wythoffian polypeta  

Incidence matrix according to Dynkin symbol

x3o o3x4o3o

. . . . . . | 288 |   2   6 |  1  12   3   6 |   6   6  12  3  2 |  3   6  6  4 1 |  3  2 2
------------+-----+---------+----------------+-------------------+----------------+--------
x . . . . . |   2 | 288   * |  1   6   0   0 |   6   3   6  0  0 |  3   6  3  2 0 |  3  2 1
. . . x . . |   2 |   * 864 |  0   2   1   2 |   1   2   4  2  1 |  1   2  4  2 1 |  2  1 2
------------+-----+---------+----------------+-------------------+----------------+--------
x3o . . . . |   3 |   3   0 | 96   *   *   * |   6   0   0  0  0 |  3   6  0  0 0 |  3  2 0
x . . x . . |   4 |   2   2 |  * 864   *   * |   1   1   2  0  0 |  1   2  2  1 0 |  2  1 1
. . o3x . . |   3 |   0   3 |  *   * 288   * |   0   2   0  2  0 |  1   0  4  0 1 |  2  0 2
. . . x4o . |   4 |   0   4 |  *   *   * 432 |   0   0   2  1  1 |  0   1  2  2 1 |  1  1 2
------------+-----+---------+----------------+-------------------+----------------+--------
x3o . x . .    6 |   6   3 |  2   3   0   0 | 288   *   *  *  * |  1   2  0  0 0 |  2  1 0
x . o3x . .    6 |   3   6 |  0   3   2   0 |   * 288   *  *  * |  1   0  2  0 0 |  2  0 1
x . . x4o .    8 |   4   8 |  0   4   0   2 |   *   * 432  *  * |  0   1  1  1 0 |  1  1 1
. . o3x4o .   12 |   0  24 |  0   0   8   6 |   *   *   * 72  * |  0   0  2  0 1 |  1  0 2
. . . x4o3o    8 |   0  12 |  0   0   0   6 |   *   *   *  * 72 |  0   0  0  2 1 |  0  1 2
------------+-----+---------+----------------+-------------------+----------------+--------
x3o o3x . .    9 |   9   9 |  3   9   3   0 |   3   3   0  0  0 | 96   *  *  * * |  2  0 0
x3o . x4o .   12 |  12  12 |  4  12   0   3 |   4   0   3  0  0 |  * 144  *  * * |  1  1 0
x . o3x4o .   24 |  12  48 |  0  24  16  12 |   0   8   6  2  0 |  *   * 72  * * |  1  0 1
x . . x4o3o   16 |   8  24 |  0  12   0  12 |   0   0   6  0  2 |  *   *  * 72 * |  0  1 1
. . o3x4o3o   96 |   0 288 |  0   0  96 144 |   0   0   0 24 24 |  *   *  *  * 3 |  0  0 2
------------+-----+---------+----------------+-------------------+----------------+--------
x3o o3x4o .   36 |  36  72 | 12  72  24  18 |  24  24  18  3  0 |  8   6  3  0 0 | 24  * *
x3o . x4o3o   24 |  24  36 |  8  36   0  18 |  12   0  18  0  3 |  0   6  0  3 0 |  * 24 *
x . o3x4o3o  192 |  96 576 |  0 288 192 288 |   0  96 144 48 48 |  0   0 24 24 2 |  *  * 3

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