Acronym gacnetip
Name great-cellated-penteractitriacontiditeron prism
Circumradius sqrt[(33+10 sqrt(2))/2] = 4.855004
Face vector 7680, 23040, 25920, 13440, 3124, 244
Confer
general polytopal classes:
Wythoffian polypeta   segmentopeta  

Incidence matrix according to Dynkin symbol

x x3x3x3x4x

. . . . . . | 7680 |    1    1    1    1    1    1 |    1    1    1    1    1    1    1    1    1    1    1    1    1    1   1 |   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 |   1   1   1   1   1   1   1   1   1  1  1   1   1  1  1 |  1  1  1  1  1 1
------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+-----------------
x . . . . . |    2 | 3840    *    *    *    *    * |    1    1    1    1    1    0    0    0    0    0    0    0    0    0   0 |   1   1   1   1   1   1   1   1   1   1   0   0   0   0   0   0   0   0   0   0 |   1   1   1   1   1   1   1   1   1  1  0   0   0  0  0 |  1  1  1  1  1 0
. x . . . . |    2 |    * 3840    *    *    *    * |    1    0    0    0    0    1    1    1    1    0    0    0    0    0   0 |   1   1   1   1   0   0   0   0   0   0   1   1   1   1   1   1   0   0   0   0 |   1   1   1   1   1   1   0   0   0  0  1   1   1  1  0 |  1  1  1  1  0 1
. . x . . . |    2 |    *    * 3840    *    *    * |    0    1    0    0    0    1    0    0    0    1    1    1    0    0   0 |   1   0   0   0   1   1   1   0   0   0   1   1   1   0   0   0   1   1   1   0 |   1   1   1   0   0   0   1   1   1  0  1   1   1  0  1 |  1  1  1  0  1 1
. . . x . . |    2 |    *    *    * 3840    *    * |    0    0    1    0    0    0    1    0    0    1    0    0    1    1   0 |   0   1   0   0   1   0   0   1   1   0   1   0   0   1   1   0   1   1   0   1 |   1   0   0   1   1   0   1   1   0  1  1   1   0  1  1 |  1  1  0  1  1 1
. . . . x . |    2 |    *    *    *    * 3840    * |    0    0    0    1    0    0    0    1    0    0    1    0    1    0   1 |   0   0   1   0   0   1   0   1   0   1   0   1   0   1   0   1   1   0   1   1 |   0   1   0   1   0   1   1   0   1  1  1   0   1  1  1 |  1  0  1  1  1 1
. . . . . x |    2 |    *    *    *    *    * 3840 |    0    0    0    0    1    0    0    0    1    0    0    1    0    1   1 |   0   0   0   1   0   0   1   0   1   1   0   0   1   0   1   1   0   1   1   1 |   0   0   1   0   1   1   0   1   1  1  0   1   1  1  1 |  0  1  1  1  1 1
------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+-----------------
x x . . . . |    4 |    2    2    0    0    0    0 | 1920    *    *    *    *    *    *    *    *    *    *    *    *    *   * |   1   1   1   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 |   1   1   1   1   1   1   0   0   0  0  0   0   0  0  0 |  1  1  1  1  0 0
x . x . . . |    4 |    2    0    2    0    0    0 |    * 1920    *    *    *    *    *    *    *    *    *    *    *    *   * |   1   0   0   0   1   1   1   0   0   0   0   0   0   0   0   0   0   0   0   0 |   1   1   1   0   0   0   1   1   1  0  0   0   0  0  0 |  1  1  1  0  1 0
x . . x . . |    4 |    2    0    0    2    0    0 |    *    * 1920    *    *    *    *    *    *    *    *    *    *    *   * |   0   1   0   0   1   0   0   1   1   0   0   0   0   0   0   0   0   0   0   0 |   1   0   0   1   1   0   1   1   0  1  0   0   0  0  0 |  1  1  0  1  1 0
x . . . x . |    4 |    2    0    0    0    2    0 |    *    *    * 1920    *    *    *    *    *    *    *    *    *    *   * |   0   0   1   0   0   1   0   1   0   1   0   0   0   0   0   0   0   0   0   0 |   0   1   0   1   0   1   1   0   1  1  0   0   0  0  0 |  1  0  1  1  1 0
x . . . . x |    4 |    2    0    0    0    0    2 |    *    *    *    * 1920    *    *    *    *    *    *    *    *    *   * |   0   0   0   1   0   0   1   0   1   1   0   0   0   0   0   0   0   0   0   0 |   0   0   1   0   1   1   0   1   1  1  0   0   0  0  0 |  0  1  1  1  1 0
. x3x . . . |    6 |    0    3    3    0    0    0 |    *    *    *    *    * 1280    *    *    *    *    *    *    *    *   * |   1   0   0   0   0   0   0   0   0   0   1   1   1   0   0   0   0   0   0   0 |   1   1   1   0   0   0   0   0   0  0  1   1   1  0  0 |  1  1  1  0  0 1
. x . x . . |    4 |    0    2    0    2    0    0 |    *    *    *    *    *    * 1920    *    *    *    *    *    *    *   * |   0   1   0   0   0   0   0   0   0   0   1   0   0   1   1   0   0   0   0   0 |   1   0   0   1   1   0   0   0   0  0  1   1   0  1  0 |  1  1  0  1  0 1
. x . . x . |    4 |    0    2    0    0    2    0 |    *    *    *    *    *    *    * 1920    *    *    *    *    *    *   * |   0   0   1   0   0   0   0   0   0   0   0   1   0   1   0   1   0   0   0   0 |   0   1   0   1   0   1   0   0   0  0  1   0   1  1  0 |  1  0  1  1  0 1
. x . . . x |    4 |    0    2    0    0    0    2 |    *    *    *    *    *    *    *    * 1920    *    *    *    *    *   * |   0   0   0   1   0   0   0   0   0   0   0   0   1   0   1   1   0   0   0   0 |   0   0   1   0   1   1   0   0   0  0  0   1   1  1  0 |  0  1  1  1  0 1
. . x3x . . |    6 |    0    0    3    3    0    0 |    *    *    *    *    *    *    *    *    * 1280    *    *    *    *   * |   0   0   0   0   1   0   0   0   0   0   1   0   0   0   0   0   1   1   0   0 |   1   0   0   0   0   0   1   1   0  0  1   1   0  0  1 |  1  1  0  0  1 1
. . x . x . |    4 |    0    0    2    0    2    0 |    *    *    *    *    *    *    *    *    *    * 1920    *    *    *   * |   0   0   0   0   0   1   0   0   0   0   0   1   0   0   0   0   1   0   1   0 |   0   1   0   0   0   0   1   0   1  0  1   0   1  0  1 |  1  0  1  0  1 1
. . x . . x |    4 |    0    0    2    0    0    2 |    *    *    *    *    *    *    *    *    *    *    * 1920    *    *   * |   0   0   0   0   0   0   1   0   0   0   0   0   1   0   0   0   0   1   1   0 |   0   0   1   0   0   0   0   1   1  0  0   1   1  0  1 |  0  1  1  0  1 1
. . . x3x . |    6 |    0    0    0    3    3    0 |    *    *    *    *    *    *    *    *    *    *    *    * 1280    *   * |   0   0   0   0   0   0   0   1   0   0   0   0   0   1   0   0   1   0   0   1 |   0   0   0   1   0   0   1   0   0  1  1   0   0  1  1 |  1  0  0  1  1 1
. . . x . x |    4 |    0    0    0    2    0    2 |    *    *    *    *    *    *    *    *    *    *    *    *    * 1920   * |   0   0   0   0   0   0   0   0   1   0   0   0   0   0   1   0   0   1   0   1 |   0   0   0   0   1   0   0   1   0  1  0   1   0  1  1 |  0  1  0  1  1 1
. . . . x4x |    8 |    0    0    0    0    4    4 |    *    *    *    *    *    *    *    *    *    *    *    *    *    * 960 |   0   0   0   0   0   0   0   0   0   1   0   0   0   0   0   1   0   0   1   1 |   0   0   0   0   0   1   0   0   1  1  0   0   1  1  1 |  0  0  1  1  1 1
------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+-----------------
x x3x . . .    12 |    6    6    6    0    0    0 |    3    3    0    0    0    2    0    0    0    0    0    0    0    0   0 | 640   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |   1   1   1   0   0   0   0   0   0  0  0   0   0  0  0 |  1  1  1  0  0 0
x x . x . .     8 |    4    4    0    4    0    0 |    2    0    2    0    0    0    2    0    0    0    0    0    0    0   0 |   * 960   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |   1   0   0   1   1   0   0   0   0  0  0   0   0  0  0 |  1  1  0  1  0 0
x x . . x .     8 |    4    4    0    0    4    0 |    2    0    0    2    0    0    0    2    0    0    0    0    0    0   0 |   *   * 960   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |   0   1   0   1   0   1   0   0   0  0  0   0   0  0  0 |  1  0  1  1  0 0
x x . . . x     8 |    4    4    0    0    0    4 |    2    0    0    0    2    0    0    0    2    0    0    0    0    0   0 |   *   *   * 960   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |   0   0   1   0   1   1   0   0   0  0  0   0   0  0  0 |  0  1  1  1  0 0
x . x3x . .    12 |    6    0    6    6    0    0 |    0    3    3    0    0    0    0    0    0    2    0    0    0    0   0 |   *   *   *   * 640   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |   1   0   0   0   0   0   1   1   0  0  0   0   0  0  0 |  1  1  0  0  1 0
x . x . x .     8 |    4    0    4    0    4    0 |    0    2    0    2    0    0    0    0    0    0    2    0    0    0   0 |   *   *   *   *   * 960   *   *   *   *   *   *   *   *   *   *   *   *   *   * |   0   1   0   0   0   0   1   0   1  0  0   0   0  0  0 |  1  0  1  0  1 0
x . x . . x     8 |    4    0    4    0    0    4 |    0    2    0    0    2    0    0    0    0    0    0    2    0    0   0 |   *   *   *   *   *   * 960   *   *   *   *   *   *   *   *   *   *   *   *   * |   0   0   1   0   0   0   0   1   1  0  0   0   0  0  0 |  0  1  1  0  1 0
x . . x3x .    12 |    6    0    0    6    6    0 |    0    0    3    3    0    0    0    0    0    0    0    0    2    0   0 |   *   *   *   *   *   *   * 640   *   *   *   *   *   *   *   *   *   *   *   * |   0   0   0   1   0   0   1   0   0  1  0   0   0  0  0 |  1  0  0  1  1 0
x . . x . x     8 |    4    0    0    4    0    4 |    0    0    2    0    2    0    0    0    0    0    0    0    0    2   0 |   *   *   *   *   *   *   *   * 960   *   *   *   *   *   *   *   *   *   *   * |   0   0   0   0   1   0   0   1   0  1  0   0   0  0  0 |  0  1  0  1  1 0
x . . . x4x    16 |    8    0    0    0    8    8 |    0    0    0    4    4    0    0    0    0    0    0    0    0    0   2 |   *   *   *   *   *   *   *   *   * 480   *   *   *   *   *   *   *   *   *   * |   0   0   0   0   0   1   0   0   1  1  0   0   0  0  0 |  0  0  1  1  1 0
. x3x3x . .    24 |    0   12   12   12    0    0 |    0    0    0    0    0    4    6    0    0    4    0    0    0    0   0 |   *   *   *   *   *   *   *   *   *   * 320   *   *   *   *   *   *   *   *   * |   1   0   0   0   0   0   0   0   0  0  1   1   0  0  0 |  1  1  0  0  0 1
. x3x . x .    12 |    0    6    6    0    6    0 |    0    0    0    0    0    2    0    3    0    0    3    0    0    0   0 |   *   *   *   *   *   *   *   *   *   *   * 640   *   *   *   *   *   *   *   * |   0   1   0   0   0   0   0   0   0  0  1   0   1  0  0 |  1  0  1  0  0 1
. x3x . . x    12 |    0    6    6    0    0    6 |    0    0    0    0    0    2    0    0    3    0    0    3    0    0   0 |   *   *   *   *   *   *   *   *   *   *   *   * 640   *   *   *   *   *   *   * |   0   0   1   0   0   0   0   0   0  0  0   1   1  0  0 |  0  1  1  0  0 1
. x . x3x .    12 |    0    6    0    6    6    0 |    0    0    0    0    0    0    3    3    0    0    0    0    2    0   0 |   *   *   *   *   *   *   *   *   *   *   *   *   * 640   *   *   *   *   *   * |   0   0   0   1   0   0   0   0   0  0  1   0   0  1  0 |  1  0  0  1  0 1
. x . x . x     8 |    0    4    0    4    0    4 |    0    0    0    0    0    0    2    0    2    0    0    0    0    2   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   * 960   *   *   *   *   * |   0   0   0   0   1   0   0   0   0  0  0   1   0  1  0 |  0  1  0  1  0 1
. x . . x4x    16 |    0    8    0    0    8    8 |    0    0    0    0    0    0    0    4    4    0    0    0    0    0   2 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 480   *   *   *   * |   0   0   0   0   0   1   0   0   0  0  0   0   1  1  0 |  0  0  1  1  0 1
. . x3x3x .    24 |    0    0   12   12   12    0 |    0    0    0    0    0    0    0    0    0    4    6    0    4    0   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 320   *   *   * |   0   0   0   0   0   0   1   0   0  0  1   0   0  0  1 |  1  0  0  0  1 1
. . x3x . x    12 |    0    0    6    6    0    6 |    0    0    0    0    0    0    0    0    0    2    0    3    0    3   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 640   *   * |   0   0   0   0   0   0   0   1   0  0  0   1   0  0  1 |  0  1  0  0  1 1
. . x . x4x    16 |    0    0    8    0    8    8 |    0    0    0    0    0    0    0    0    0    0    4    4    0    0   2 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 480   * |   0   0   0   0   0   0   0   0   1  0  0   0   1  0  1 |  0  0  1  0  1 1
. . . x3x4x    48 |    0    0    0   24   24   24 |    0    0    0    0    0    0    0    0    0    0    0    0    8   12   6 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 160 |   0   0   0   0   0   0   0   0   0  1  0   0   0  1  1 |  0  0  0  1  1 1
------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+-----------------
x x3x3x . .    48 |   24   24   24   24    0    0 |   12   12   12    0    0    8   12    0    0    8    0    0    0    0   0 |   4   6   0   0   4   0   0   0   0   0   2   0   0   0   0   0   0   0   0   0 | 160   *   *   *   *   *   *   *   *  *  *   *   *  *  * |  1  1  0  0  0 0
x x3x . x .    24 |   12   12   12    0   12    0 |    6    6    0    6    0    4    0    6    0    0    6    0    0    0   0 |   2   0   3   0   0   3   0   0   0   0   0   2   0   0   0   0   0   0   0   0 |   * 320   *   *   *   *   *   *   *  *  *   *   *  *  * |  1  0  1  0  0 0
x x3x . . x    24 |   12   12   12    0    0   12 |    6    6    0    0    6    4    0    0    6    0    0    6    0    0   0 |   2   0   0   3   0   0   3   0   0   0   0   0   2   0   0   0   0   0   0   0 |   *   * 320   *   *   *   *   *   *  *  *   *   *  *  * |  0  1  1  0  0 0
x x . x3x .    24 |   12   12    0   12   12    0 |    6    0    6    6    0    0    6    6    0    0    0    0    4    0   0 |   0   3   3   0   0   0   0   2   0   0   0   0   0   2   0   0   0   0   0   0 |   *   *   * 320   *   *   *   *   *  *  *   *   *  *  * |  1  0  0  1  0 0
x x . x . x    16 |    8    8    0    8    0    8 |    4    0    4    0    4    0    4    0    4    0    0    0    0    4   0 |   0   2   0   2   0   0   0   0   2   0   0   0   0   0   2   0   0   0   0   0 |   *   *   *   * 480   *   *   *   *  *  *   *   *  *  * |  0  1  0  1  0 0
x x . . x4x    32 |   16   16    0    0   16   16 |    8    0    0    8    8    0    0    8    8    0    0    0    0    0   4 |   0   0   4   4   0   0   0   0   0   2   0   0   0   0   0   2   0   0   0   0 |   *   *   *   *   * 240   *   *   *  *  *   *   *  *  * |  0  0  1  1  0 0
x . x3x3x .    48 |   24    0   24   24   24    0 |    0   12   12   12    0    0    0    0    0    8   12    0    8    0   0 |   0   0   0   0   4   6   0   4   0   0   0   0   0   0   0   0   2   0   0   0 |   *   *   *   *   *   * 160   *   *  *  *   *   *  *  * |  1  0  0  0  1 0
x . x3x . x    24 |   12    0   12   12    0   12 |    0    6    6    0    6    0    0    0    0    4    0    6    0    6   0 |   0   0   0   0   2   0   3   0   3   0   0   0   0   0   0   0   0   2   0   0 |   *   *   *   *   *   *   * 320   *  *  *   *   *  *  * |  0  1  0  0  1 0
x . x . x4x    32 |   16    0   16    0   16   16 |    0    8    0    8    8    0    0    0    0    0    8    8    0    0   4 |   0   0   0   0   0   4   4   0   0   2   0   0   0   0   0   0   0   0   2   0 |   *   *   *   *   *   *   *   * 240  *  *   *   *  *  * |  0  0  1  0  1 0
x . . x3x4x    96 |   48    0    0   48   48   48 |    0    0   24   24   24    0    0    0    0    0    0    0   16   24  12 |   0   0   0   0   0   0   0   8  12   6   0   0   0   0   0   0   0   0   0   2 |   *   *   *   *   *   *   *   *   * 80  *   *   *  *  * |  0  0  0  1  1 0
. x3x3x3x .   120 |    0   60   60   60   60    0 |    0    0    0    0    0   20   30   30    0   20   30    0   20    0   0 |   0   0   0   0   0   0   0   0   0   0   5  10   0  10   0   0   5   0   0   0 |   *   *   *   *   *   *   *   *   *  * 64   *   *  *  * |  1  0  0  0  0 1
. x3x3x . x    48 |    0   24   24   24    0   24 |    0    0    0    0    0    8   12    0   12    8    0   12    0   12   0 |   0   0   0   0   0   0   0   0   0   0   2   0   4   0   6   0   0   4   0   0 |   *   *   *   *   *   *   *   *   *  *  * 160   *  *  * |  0  1  0  0  0 1
. x3x . x4x    48 |    0   24   24    0   24   24 |    0    0    0    0    0    8    0   12   12    0   12   12    0    0   6 |   0   0   0   0   0   0   0   0   0   0   0   4   4   0   0   3   0   0   3   0 |   *   *   *   *   *   *   *   *   *  *  *   * 160  *  * |  0  0  1  0  0 1
. x . x3x4x    96 |    0   48    0   48   48   48 |    0    0    0    0    0    0   24   24   24    0    0    0   16   24  12 |   0   0   0   0   0   0   0   0   0   0   0   0   0   8  12   6   0   0   0   2 |   *   *   *   *   *   *   *   *   *  *  *   *   * 80  * |  0  0  0  1  0 1
. . x3x3x4x   384 |    0    0  192  192  192  192 |    0    0    0    0    0    0    0    0    0   64   96   96   64   96  48 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  16  32  24   8 |   *   *   *   *   *   *   *   *   *  *  *   *   *  * 20 |  0  0  0  0  1 1
------------+------+-------------------------------+---------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------+-----------------
x x3x3x3x .   240 |  120  120  120  120  120    0 |   60   60   60   60    0   40   60   60    0   40   60    0   40    0   0 |  20  30  30   0  20  30   0  20   0   0  10  20   0  20   0   0  10   0   0   0 |   5  10   0  10   0   0   5   0   0  0  2   0   0  0  0 | 32  *  *  *  * *
x x3x3x . x    96 |   48   48   48   48    0   48 |   24   24   24    0   24   16   24    0   24   16    0   24    0   24   0 |   8  12   0  12   8   0  12   0  12   0   4   0   8   0  12   0   0   8   0   0 |   2   0   4   0   6   0   0   4   0  0  0   2   0  0  0 |  * 80  *  *  * *
x x3x . x4x    96 |   48   48   48    0   48   48 |   24   24    0   24   24   16    0   24   24    0   24   24    0    0  12 |   8   0  12  12   0  12  12   0   0   6   0   8   8   0   0   6   0   0   6   0 |   0   4   4   0   0   3   0   0   3  0  0   0   2  0  0 |  *  * 80  *  * *
x x . x3x4x   192 |   96   96    0   96   96   96 |   48    0   48   48   48    0   48   48   48    0    0    0   32   48  24 |   0  24  24  24   0   0   0  16  24  12   0   0   0  16  24  12   0   0   0   4 |   0   0   0   8  12   6   0   0   0  2  0   0   0  2  0 |  *  *  * 40  * *
x . x3x3x4x   768 |  384    0  384  384  384  384 |    0  192  192  192  192    0    0    0    0  128  192  192  128  192  96 |   0   0   0   0  64  96  96  64  96  48   0   0   0   0   0   0  32  64  48  16 |   0   0   0   0   0   0  16  32  24  8  0   0   0  0  2 |  *  *  *  * 10 *
. x3x3x3x4x  3840 |    0 1920 1920 1920 1920 1920 |    0    0    0    0    0  640  960  960  960  640  960  960  640  960 480 |   0   0   0   0   0   0   0   0   0   0 160 320 320 320 480 240 160 320 240  80 |   0   0   0   0   0   0   0   0   0  0 32  80  80 40 10 |  *  *  *  *  * 2

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