Acronym	titajak (old: totajik, oldest: hibtajak)
Name	tritruncated icosiheptaheptacontidipeton, (demibitruncated icosiheptaheptacontidipeton)
Circumradius	sqrt(44/3) = 3.829708
Face vector	4320, 12960, 14400, 7200, 1566, 126
Confer	general polytopal classes: Wythoffian polypeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

o3x3x3o3o *c3x

o3o3o3o3o *c3o | 4320 |    2    3    1 |    1    6    2    3    3 |    3   1    6    6    1    3 |   3   3   2   6   1 |  1  3  2
---------------+------+----------------+--------------------------+------------------------------+---------------------+---------
. x . . .    . |    2 | 4320    *    * |    1    3    1    0    0 |    3   1    3    3    0    0 |   3   3   1   3   0 |  1  3  1
. . x . .    . |    2 |    * 6480    * |    0    2    0    2    1 |    1   0    4    2    1    2 |   2   1   2   4   1 |  1  2  2
. . . . .    x |    2 |    *    * 2160 |    0    0    2    0    3 |    0   1    0    6    0    3 |   0   3   0   6   1 |  0  3  2
---------------+------+----------------+--------------------------+------------------------------+---------------------+---------
o3x . . .    . |    3 |    3    0    0 | 1440    *    *    *    * |    3   1    0    0    0    0 |   3   3   0   0   0 |  1  3  0
. x3x . .    . |    6 |    3    3    0 |    * 4320    *    *    * |    1   0    2    1    0    0 |   2   1   1   2   0 |  1  2  1
. x . . .    x |    4 |    2    0    2 |    *    * 2160    *    * |    0   1    0    3    0    0 |   0   3   0   3   0 |  0  3  1
. . x3o .    . |    3 |    0    3    0 |    *    *    * 4320    * |    0   0    2    0    1    1 |   1   0   2   2   1 |  1  1  2
. . x . . *c3x |    6 |    0    3    3 |    *    *    *    * 2160 |    0   0    0    2    0    2 |   0   1   0   4   1 |  0  2  2
---------------+------+----------------+--------------------------+------------------------------+---------------------+---------
o3x3x . .    . ♦   12 |   12    6    0 |    4    4    0    0    0 | 1080   *    *    *    *    * |   2   1   0   0   0 |  1  2  0
o3x . . .    x ♦    6 |    6    0    3 |    2    0    3    0    0 |    * 720    *    *    *    * |   0   3   0   0   0 |  0  3  0
. x3x3o .    . ♦   12 |    6   12    0 |    0    4    0    4    0 |    *   * 2160    *    *    * |   1   0   1   1   0 |  1  1  1
. x3x . . *c3x ♦   24 |   12   12   12 |    0    4    6    0    4 |    *   *    * 1080    *    * |   0   1   0   2   0 |  0  2  1
. . x3o3o    . ♦    4 |    0    6    0 |    0    0    0    4    0 |    *   *    *    * 1080    * |   0   0   2   0   1 |  1  0  2
. . x3o . *c3x ♦   12 |    0   12    6 |    0    0    0    4    4 |    *   *    *    *    * 1080 |   0   0   0   2   1 |  0  1  2
---------------+------+----------------+--------------------------+------------------------------+---------------------+---------
o3x3x3o .    . ♦   30 |   30   30    0 |   10   20    0   10    0 |    5   0    5    0    0    0 | 432   *   *   *   * |  1  1  0
o3x3x . . *c3x ♦   60 |   60   30   30 |   20   20   30    0   10 |    5  10    0    5    0    0 |   * 216   *   *   * |  0  2  0
. x3x3o3o    . ♦   20 |   10   30    0 |    0   10    0   20    0 |    0   0    5    0    5    0 |   *   * 432   *   * |  1  0  1
. x3x3o . *c3x ♦   96 |   48   96   48 |    0   32   24   32   32 |    0   0    8    8    0    8 |   *   *   * 270   * |  0  1  1
. . x3o3o *c3x ♦   20 |    0   30   10 |    0    0    0   20   10 |    0   0    0    0    5    5 |   *   *   *   * 216 |  0  0  2
---------------+------+----------------+--------------------------+------------------------------+---------------------+---------
o3x3x3o3o    . ♦   60 |   60   90    0 |   20   60    0   60    0 |   15   0   30    0   15    0 |   6   0   6   0   0 | 72  *  *
o3x3x3o . *c3x ♦  480 |  480  480  240 |  160  320  240  160  160 |   80  80   80   80    0   40 |  16  16   0  10   0 |  * 27  *
. x3x3o3o *c3x ♦  320 |  160  480  160 |    0  160   80  320  160 |    0   0   80   40   80   80 |   0   0  16  10  16 |  *  * 27