Acronym tragrip
Name triangle - great-rhombated-pentachoron duoprism
Circumradius sqrt(56/15) = 1.932184
Face vector 180, 540, 660, 420, 143, 23
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  

Incidence matrix according to Dynkin symbol

x3o x3x3x3o

. . . . . . | 180 |   2  1  1   2 |  1  2  2   4  1  2  2  1 |  1  1  2  2  4  4  2  2  1  1 |  1  2  2  1  4  2  2 1 | 2  1 1 2
------------+-----+---------------+--------------------------+-------------------------------+------------------------+---------
x . . . . . |   2 | 180  *  *   * |  1  1  1   2  0  0  0  0 |  1  1  2  1  2  2  1  0  0  0 |  1  2  2  1  2  1  1 0 | 2  1 1 1
. . x . . . |   2 |   * 90  *   * |  0  2  0   0  1  2  0  0 |  1  0  0  2  4  0  0  2  1  0 |  1  2  0  0  4  2  0 1 | 2  1 0 2
. . . x . . |   2 |   *  * 90   * |  0  0  2   0  1  0  2  0 |  0  1  0  2  0  4  0  2  0  1 |  1  0  2  0  4  0  2 1 | 2  0 1 2
. . . . x . |   2 |   *  *  * 180 |  0  0  0   2  0  1  1  1 |  0  0  1  0  2  2  2  1  1  1 |  0  1  1  1  2  2  2 1 | 1  1 1 2
------------+-----+---------------+--------------------------+-------------------------------+------------------------+---------
x3o . . . . |   3 |   3  0  0   0 | 60  *  *   *  *  *  *  * |  1  1  2  0  0  0  0  0  0  0 |  1  2  2  1  0  0  0 0 | 2  1 1 0
x . x . . . |   4 |   2  2  0   0 |  * 90  *   *  *  *  *  * |  1  0  0  1  2  0  0  0  0  0 |  1  2  0  0  2  1  0 0 | 2  1 0 1
x . . x . . |   4 |   2  0  2   0 |  *  * 90   *  *  *  *  * |  0  1  0  1  0  2  0  0  0  0 |  1  0  2  0  2  0  1 0 | 2  0 1 1
x . . . x . |   4 |   2  0  0   2 |  *  *  * 180  *  *  *  * |  0  0  1  0  1  1  1  0  0  0 |  0  1  1  1  1  1  1 0 | 1  1 1 1
. . x3x . . |   6 |   0  3  3   0 |  *  *  *   * 30  *  *  * |  0  0  0  2  0  0  0  2  0  0 |  1  0  0  0  4  0  0 1 | 2  0 0 2
. . x . x . |   4 |   0  2  0   2 |  *  *  *   *  * 90  *  * |  0  0  0  0  2  0  0  1  1  0 |  0  1  0  0  2  2  0 1 | 1  1 0 2
. . . x3x . |   6 |   0  0  3   3 |  *  *  *   *  *  * 60  * |  0  0  0  0  0  2  0  1  0  1 |  0  0  1  0  2  0  2 1 | 1  0 1 2
. . . . x3o |   3 |   0  0  0   3 |  *  *  *   *  *  *  * 60 |  0  0  0  0  0  0  2  0  1  1 |  0  0  0  1  0  2  2 1 | 0  1 1 2
------------+-----+---------------+--------------------------+-------------------------------+------------------------+---------
x3o x . . .    6 |   6  3  0   0 |  2  3  0   0  0  0  0  0 | 30  *  *  *  *  *  *  *  *  * |  1  2  0  0  0  0  0 0 | 2  1 0 0
x3o . x . .    6 |   6  0  3   0 |  2  0  3   0  0  0  0  0 |  * 30  *  *  *  *  *  *  *  * |  1  0  2  0  0  0  0 0 | 2  0 1 0
x3o . . x .    6 |   6  0  0   3 |  2  0  0   3  0  0  0  0 |  *  * 60  *  *  *  *  *  *  * |  0  1  1  1  0  0  0 0 | 1  1 1 0
x . x3x . .   12 |   6  6  6   0 |  0  3  3   0  2  0  0  0 |  *  *  * 30  *  *  *  *  *  * |  1  0  0  0  2  0  0 0 | 2  0 0 1
x . x . x .    8 |   4  4  0   4 |  0  2  0   2  0  2  0  0 |  *  *  *  * 90  *  *  *  *  * |  0  1  0  0  1  1  0 0 | 1  1 0 1
x . . x3x .   12 |   6  0  6   6 |  0  0  3   3  0  0  2  0 |  *  *  *  *  * 60  *  *  *  * |  0  0  1  0  1  0  1 0 | 1  0 1 1
x . . . x3o    6 |   3  0  0   6 |  0  0  0   3  0  0  0  2 |  *  *  *  *  *  * 60  *  *  * |  0  0  0  1  0  1  1 0 | 0  1 1 1
. . x3x3x .   24 |   0 12 12  12 |  0  0  0   0  4  6  4  0 |  *  *  *  *  *  *  * 15  *  * |  0  0  0  0  2  0  0 1 | 1  0 0 2
. . x . x3o    6 |   0  3  0   6 |  0  0  0   0  0  3  0  2 |  *  *  *  *  *  *  *  * 30  * |  0  0  0  0  0  2  0 1 | 0  1 0 2
. . . x3x3o   12 |   0  0  6  12 |  0  0  0   0  0  0  4  4 |  *  *  *  *  *  *  *  *  * 15 |  0  0  0  0  0  0  2 1 | 0  0 1 2
------------+-----+---------------+--------------------------+-------------------------------+------------------------+---------
x3o x3x . .   18 |  18  9  9   0 |  6  9  9   0  3  0  0  0 |  3  3  0  3  0  0  0  0  0  0 | 10  *  *  *  *  *  * * | 2  0 0 0
x3o x . x .   12 |  12  6  0   6 |  4  6  0   6  0  3  0  0 |  2  0  2  0  3  0  0  0  0  0 |  * 30  *  *  *  *  * * | 1  1 0 0
x3o . x3x .   18 |  18  0  9   9 |  6  0  9   9  0  0  3  0 |  0  3  3  0  0  3  0  0  0  0 |  *  * 20  *  *  *  * * | 1  0 1 0
x3o . . x3o    9 |   9  0  0   9 |  3  0  0   9  0  0  0  3 |  0  0  3  0  0  0  3  0  0  0 |  *  *  * 20  *  *  * * | 0  1 1 0
x . x3x3x .   48 |  24 24 24  24 |  0 12 12  12  8 12  8  0 |  0  0  0  4  6  4  0  2  0  0 |  *  *  *  * 15  *  * * | 1  0 0 1
x . x . x3o   12 |   6  6  0  12 |  0  3  0   6  0  6  0  4 |  0  0  0  0  3  0  2  0  2  0 |  *  *  *  *  * 30  * * | 0  1 0 1
x . . x3x3o   24 |  12  0 12  24 |  0  0  6  12  0  0  8  8 |  0  0  0  0  0  4  4  0  0  2 |  *  *  *  *  *  * 15 * | 0  0 1 1
. . x3x3x3o   60 |   0 30 30  60 |  0  0  0   0 10 30 20 20 |  0  0  0  0  0  0  0  5 10  5 |  *  *  *  *  *  *  * 3 | 0  0 0 2
------------+-----+---------------+--------------------------+-------------------------------+------------------------+---------
x3o x3x3x .   72 |  72 36 36  36 | 24 36 36  36 12 18 12  0 | 12 12 12 12 18 12  0  3  0  0 |  4  6  4  0  3  0  0 0 | 5  * * *
x3o x . x3o   18 |  18  9  0  18 |  6  9  0  18  0  9  0  6 |  3  0  6  0  9  0  6  0  3  0 |  0  3  0  2  0  3  0 0 | * 10 * *
x3o . x3x3o   36 |  36  0 18  36 | 12  0 18  36  0  0 12 12 |  0  6 12  0  0 12 12  0  0  3 |  0  0  4  4  0  0  3 0 | *  * 5 *
x . x3x3x3o  120 |  60 60 60 120 |  0 30 30  60 20 60 40 40 |  0  0  0 10 30 20 20 10 20 10 |  0  0  0  0  5 10  5 2 | *  * * 3

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