Acronym trizee
Name triangle - hecatonicosoctaexon duoprism,
vertex figure of brake
Circumradius sqrt(5/6) = 0.912871
Volume sqrt(6)/2520 = 0.00097202
Face vector 42, 294, 1106, 2604, 3976, 3920, 2400, 835, 131
Confer
general polytopal classes:
Wythoffian polyyotta  

Incidence matrix according to Dynkin symbol

x3o x3o3o3o3o3o4o

. . . . . . . . . | 42 |  2  12 |  1  24  60 | 12 120  160 |  60  320  240 | 160  480  192 | 240  384  64 | 192 128 1 |  64 2
------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------
x . . . . . . . . |  2 | 42   * |  1  12   0 | 12  60    0 |  60  160    0 | 160  240    0 | 240  192   0 | 192  64 0 |  64 1
. . x . . . . . . |  2 |  * 252 |  0   2  10 |  1  20   40 |  10   80   80 |  40  160   80 |  80  160  32 |  80  64 1 |  32 2
------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------
x3o . . . . . . . |  3 |  3   0 | 14   *   *  12   0    0 |  60    0    0 | 160    0    0 | 240    0   0 | 192   0 0 |  64 0
x . x . . . . . . |  4 |  2   2 |  * 252   * |  1  10    0 |  10   40    0 |  40   80    0 |  80   80   0 |  80  32 0 |  32 1
. . x3o . . . . . |  3 |  0   3 |  *   * 840 |  0   2    8 |   1   16   24 |   8   48   32 |  24   64  16 |  16  16 1 |  16 2
------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------
x3o x . . . . . .   6 |  6   3 |  2   3   0 | 84   *    *   10    0    0 |  40    0    0 |  80    0   0 |  80   0 0 |  32 0
x . x3o . . . . .   6 |  3   6 |  0   3   2 |  * 840    * |   1    8    0 |   8   24    0 |  24   32   0 |  32  16 0 |  16 1
. . x3o3o . . . .   4 |  0   6 |  0   0   4 |  *   * 1680 |   0    2    6 |   1   12   12 |   6   24   8 |  12  16 1 |   8 2
------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------
x3o x3o . . . . .   9 |  9   9 |  3   9   3 |  3   3    0 | 280    *    *    8    0    0 |  24    0   0 |  32   0 0 |  16 0
x . x3o3o . . . .   8 |  4  12 |  0   6   8 |  0   4    2 |   * 1680    * |   1    6    0 |   6   12   0 |  12   8 0 |   8 1
. . x3o3o3o . . .   5 |  0  10 |  0   0  10 |  0   0    5 |   *    * 2016 |   0    2    4 |   1    8   4 |   4   8 1 |   4 2
------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------
x3o x3o3o . . . .  12 | 12  18 |  4  18  12 |  6  12    3 |   4    3    0 | 560    *    *    6    0   0 |  12   0 0 |   8 0
x . x3o3o3o . . .  10 |  5  20 |  0  10  20 |  0  10   10 |   0    5    2 |   * 2016    * |   1    4   0 |   4   4 0 |   4 1
. . x3o3o3o3o . .   6 |  0  15 |  0   0  20 |  0   0   15 |   0    0    6 |   *    * 1344 |   0    2   2 |   1   4 1 |   2 2
------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------
x3o x3o3o3o . . .  15 | 15  30 |  5  30  30 | 10  30   15 |  10   15    3 |   5    3    0 | 672    *   * |   4   0 0 |   4 0
x . x3o3o3o3o . .  12 |  6  30 |  0  15  40 |  0  20   30 |   0   15   12 |   0    6    2 |   * 1344   * |   1   2 0 |   2 1
. . x3o3o3o3o3o .   7 |  0  21 |  0   0  35 |  0   0   35 |   0    0   21 |   0    0    7 |   *    * 384 |   0   2 1 |   1 2
------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------
x3o x3o3o3o3o . .  18 | 18  45 |  6  45  60 | 15  60   45 |  20   45   18 |  15   18    3 |   6    3   0 | 448   * * |   2 0
x . x3o3o3o3o3o .  14 |  7  42 |  0  21  70 |  0  35   70 |   0   35   42 |   0   21   14 |   0    7   2 |   * 384 * |   1 1
. . x3o3o3o3o3o4o  14 |  0  84 |  0   0 280 |  0   0  560 |   0    0  672 |   0    0  448 |   0    0 128 |   *   * 3 |   0 2
------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------
x3o x3o3o3o3o3o .  21 | 21  63 |  7  63 105 | 21 105  105 |  35  105   63 |  35   63   21 |  21   21   3 |   7   3 0 | 128 *
x . x3o3o3o3o3o4o  28 | 14 168 |  0  84 560 |  0 280 1120 |   0  560 1344 |   0  672  896 |   0  448 256 |   0 128 2 |   * 3

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