Acronym	hotjak
Name	demitruncated icosiheptapeton
Circumradius	sqrt(8) = 2.828427
Face vector	2160, 9720, 14400, 9360, 2862, 342
Confer	general polytopal classes: Wythoffian polypeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

x3x3o3o3o *c3x

. . . . .    . | 2160 |    1    4    4 |    4    4    6    4    6 |    6   4    6    4    6    4 |   4   6    4   1   4   1 |  1  4   1  1
---------------+------+----------------+--------------------------+------------------------------+--------------------------+-------------
x . . . .    . |    2 | 1080    *    * |    4    4    0    0    0 |    6   4    6    0    0    0 |   4   6    4   0   0   0 |  1  4   1  0
. x . . .    . |    2 |    * 4320    * |    1    0    3    1    0 |    3   1    0    3    3    0 |   3   3    0   1   3   0 |  1  3   0  1
. . . . .    x |    2 |    *    * 4320 |    0    1    0    1    3 |    0   1    3    0    3    3 |   0   3    3   0   3   1 |  0  3   1  1
---------------+------+----------------+--------------------------+------------------------------+--------------------------+-------------
x3x . . .    . |    6 |    3    3    0 | 1440    *    *    *    * |    3   1    0    0    0    0 |   3   3    0   0   0   0 |  1  3   0  0
x . . . .    x |    4 |    2    0    2 |    * 2160    *    *    * |    0   1    3    0    0    0 |   0   3    3   0   0   0 |  0  3   1  0
. x3o . .    . |    3 |    0    3    0 |    *    * 4320    *    * |    1   0    0    2    1    0 |   2   1    0   1   2   0 |  1  2   0  1
. x . . .    x |    4 |    0    2    2 |    *    *    * 2160    * |    0   1    0    0    3    0 |   0   3    0   0   3   0 |  0  3   0  1
. . o . . *c3x |    3 |    0    0    3 |    *    *    *    * 4320 |    0   0    1    0    1    2 |   0   1    2   0   2   1 |  0  2   1  1
---------------+------+----------------+--------------------------+------------------------------+--------------------------+-------------
x3x3o . .    . ♦   12 |    6   12    0 |    4    0    4    0    0 | 1080   *    *    *    *    * |   2   1    0   0   0   0 |  1  2   0  0
x3x . . .    x ♦   12 |    6    6    6 |    2    3    0    3    0 |    * 720    *    *    *    * |   0   3    0   0   0   0 |  0  3   0  0
x . o . . *c3x ♦    6 |    3    0    6 |    0    3    0    0    2 |    *   * 2160    *    *    * |   0   1    2   0   0   0 |  0  2   1  0
. x3o3o .    . ♦    4 |    0    6    0 |    0    0    4    0    0 |    *   *    * 2160    *    * |   1   0    0   1   1   0 |  1  1   0  1
. x3o . . *c3x ♦   12 |    0   12   12 |    0    0    4    6    4 |    *   *    *    * 1080    * |   0   1    0   0   2   0 |  0  2   0  1
. . o3o . *c3x ♦    4 |    0    0    6 |    0    0    0    0    4 |    *   *    *    *    * 2160 |   0   0    1   0   1   1 |  0  1   1  1
---------------+------+----------------+--------------------------+------------------------------+--------------------------+-------------
x3x3o3o .    . ♦   20 |   10   30    0 |   10    0   20    0    0 |    5   0    0    5    0    0 | 432   *    *   *   *   * |  1  1   0  0
x3x3o . . *c3x ♦   60 |   30   60   60 |   20   30   20   30   20 |    5  10   10    0    5    0 |   * 216    *   *   *   * |  0  2   0  0
x . o3o . *c3x ♦    8 |    4    0   12 |    0    6    0    0    8 |    0   0    4    0    0    2 |   *   * 1080   *   *   * |  0  1   1  0
. x3o3o3o    . ♦    5 |    0   10    0 |    0    0   10    0    0 |    0   0    0    5    0    0 |   *   *    * 432   *   * |  1  0   0  1
. x3o3o . *c3x ♦   32 |    0   48   48 |    0    0   32   24   32 |    0   0    0    8    8    8 |   *   *    *   * 270   * |  0  1   0  1
. . o3o3o *c3x ♦    5 |    0    0   10 |    0    0    0    0   10 |    0   0    0    0    0    5 |   *   *    *   *   * 432 |  0  0   1  1
---------------+------+----------------+--------------------------+------------------------------+--------------------------+-------------
x3x3o3o3o    . ♦   30 |   15   60    0 |   20    0   60    0    0 |   15   0    0   30    0    0 |   6   0    0   6   0   0 | 72  *   *  *
x3x3o3o . *c3x ♦  320 |  160  480  480 |  160  240  320  240  320 |   80  80  160   80   80   80 |  16  16   40   0  10   0 |  * 27   *  *
x . o3o3o *c3x ♦   10 |    5    0   20 |    0   10    0    0   20 |    0   0   10    0    0   10 |   0   0    5   0   0   2 |  *  * 216  *
. x3o3o3o *c3x ♦   80 |    0  160  160 |    0    0  160   80  160 |    0   0    0   80   40   80 |   0   0    0  16  10  16 |  *  *   * 27