Acronym hatico
Name hexagon - truncated-icositetrachoron duoprism
Circumradius sqrt(8) = 2.828427
Face vector 1152, 3456, 3936, 2112, 534, 54
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  

Incidence matrix according to Dynkin symbol

x6o x3x4o3o

. . . . . . | 1152 |    2   1    3 |   1   2    6   3   3 |  1   3   6   6   3   1 |  3   3   6   2 1 |  3  1 2
------------+------+---------------+----------------------+------------------------+------------------+--------
x . . . . . |    2 | 1152   *    * |   1   1    3   0   0 |  1   3   3   3   0   0 |  3   3   3   1 0 |  3  1 1
. . x . . . |    2 |    * 576    * |   0   2    0   3   0 |  1   0   6   0   3   0 |  3   0   6   0 1 |  3  0 2
. . . x . . |    2 |    *   * 1728 |   0   0    2   1   2 |  0   1   2   4   2   1 |  1   2   4   2 1 |  2  1 2
------------+------+---------------+----------------------+------------------------+------------------+--------
x6o . . . . |    6 |    6   0    0 | 192   *    *   *   * |  1   3   0   0   0   0 |  3   3   0   0 0 |  3  1 0
x . x . . . |    4 |    2   2    0 |   * 576    *   *   * |  1   0   3   0   0   0 |  3   0   3   0 0 |  3  0 1
x . . x . . |    4 |    2   0    2 |   *   * 1728   *   * |  0   1   1   2   0   0 |  1   2   2   1 0 |  2  1 1
. . x3x . . |    6 |    0   3    3 |   *   *    * 576   * |  0   0   2   0   2   0 |  1   0   4   0 1 |  2  0 2
. . . x4o . |    4 |    0   0    4 |   *   *    *   * 864 |  0   0   0   2   1   1 |  0   1   2   2 1 |  1  1 2
------------+------+---------------+----------------------+------------------------+------------------+--------
x6o x . . .    12 |   12   6    0 |   2   6    0   0   0 | 96   *   *   *   *   * |  3   0   0   0 0 |  3  0 0
x6o . x . .    12 |   12   0    6 |   2   0    6   0   0 |  * 288   *   *   *   * |  1   2   0   0 0 |  2  1 0
x . x3x . .    12 |    6   6    6 |   0   3    3   2   0 |  *   * 576   *   *   * |  1   0   2   0 0 |  2  0 1
x . . x4o .     8 |    4   0    8 |   0   0    4   0   2 |  *   *   * 864   *   * |  0   1   1   1 0 |  1  1 1
. . x3x4o .    24 |    0  12   24 |   0   0    0   8   6 |  *   *   *   * 144   * |  0   0   2   0 1 |  1  0 2
. . . x4o3o     8 |    0   0   12 |   0   0    0   0   6 |  *   *   *   *   * 144 |  0   0   0   2 1 |  0  1 2
------------+------+---------------+----------------------+------------------------+------------------+--------
x6o x3x . .    36 |   36  18   18 |   6  18   18   6   0 |  3   3   6   0   0   0 | 96   *   *   * * |  2  0 0
x6o . x4o .    24 |   24   0   24 |   4   0   24   0   6 |  0   4   0   6   0   0 |  * 144   *   * * |  1  1 0
x . x3x4o .    48 |   24  24   48 |   0  12   24  16  12 |  0   0   8   6   2   0 |  *   * 144   * * |  1  0 1
x . . x4o3o    16 |    8   0   24 |   0   0   12   0  12 |  0   0   0   6   0   2 |  *   *   * 144 * |  0  1 1
. . x3x4o3o   192 |    0  96  288 |   0   0    0  96 144 |  0   0   0   0  24  24 |  *   *   *   * 6 |  0  0 2
------------+------+---------------+----------------------+------------------------+------------------+--------
x6o x3x4o .   144 |  144  72  144 |  24  72  144  48  36 | 12  24  48  36   6   0 |  8   6   6   0 0 | 24  * *
x6o . x4o3o    48 |   48   0   72 |   8   0   72   0  36 |  0  12   0  36   0   6 |  0   6   0   6 0 |  * 24 *
x . x3x4o3o   384 |  192 192  576 |   0  96  288 192 288 |  0   0  96 144  48  48 |  0   0  24  24 2 |  *  * 6

x3x x3x4o3o

. . . . . . | 1152 |   1   1   1    3 |   1   1   3   1   3   3   3 |  1   3   3   3   3   3   3   1 |  3   3  3  1  3  1 1 |  3  1 1 1
------------+------+------------------+-----------------------------+--------------------------------+----------------------+----------
x . . . . . |    2 | 576   *   *    * |   1   1   3   0   0   0   0 |  1   3   3   3   0   0   0   0 |  3   3  3  1  0  0 0 |  3  1 1 0
. x . . . . |    2 |   * 576   *    * |   1   0   0   1   3   0   0 |  1   3   0   0   3   3   0   0 |  3   3  0  0  3  1 0 |  3  1 0 1
. . x . . . |    2 |   *   * 576    * |   0   1   0   1   0   3   0 |  1   0   3   0   3   0   3   0 |  3   0  3  0  3  0 1 |  3  0 1 1
. . . x . . |    2 |   *   *   * 1728 |   0   0   1   0   1   1   2 |  0   1   1   2   1   2   2   1 |  1   2  2  1  2  1 1 |  2  1 1 1
------------+------+------------------+-----------------------------+--------------------------------+----------------------+----------
x3x . . . . |    6 |   3   3   0    0 | 192   *   *   *   *   *   * |  1   3   0   0   0   0   0   0 |  3   3  0  0  0  0 0 |  3  1 0 0
x . x . . . |    4 |   2   0   2    0 |   * 288   *   *   *   *   * |  1   0   3   0   0   0   0   0 |  3   0  3  0  0  0 0 |  3  0 1 0
x . . x . . |    4 |   2   0   0    2 |   *   * 864   *   *   *   * |  0   1   1   2   0   0   0   0 |  1   2  2  1  0  0 0 |  2  1 1 0
. x x . . . |    4 |   0   2   2    0 |   *   *   * 288   *   *   * |  1   0   0   0   3   0   0   0 |  3   0  0  0  3  0 0 |  3  0 0 1
. x . x . . |    4 |   0   2   0    2 |   *   *   *   * 864   *   * |  0   1   0   0   1   2   0   0 |  1   2  0  0  2  1 0 |  2  1 0 1
. . x3x . . |    6 |   0   0   3    3 |   *   *   *   *   * 576   * |  0   0   1   0   1   0   2   0 |  1   0  2  0  2  0 1 |  2  0 1 1
. . . x4o . |    4 |   0   0   0    4 |   *   *   *   *   *   * 864 |  0   0   0   1   0   1   1   1 |  0   1  1  1  1  1 1 |  1  1 1 1
------------+------+------------------+-----------------------------+--------------------------------+----------------------+----------
x3x x . . .    12 |   6   6   6    0 |   2   3   0   3   0   0   0 | 96   *   *   *   *   *   *   * |  3   0  0  0  0  0 0 |  3  0 0 0
x3x . x . .    12 |   6   6   0    6 |   2   0   3   0   3   0   0 |  * 288   *   *   *   *   *   * |  1   2  0  0  0  0 0 |  2  1 0 0
x . x3x . .    12 |   6   0   6    6 |   0   3   3   0   0   2   0 |  *   * 288   *   *   *   *   * |  1   0  2  0  0  0 0 |  2  0 1 0
x . . x4o .     8 |   4   0   0    8 |   0   0   4   0   0   0   2 |  *   *   * 432   *   *   *   * |  0   1  1  1  0  0 0 |  1  1 1 0
. x x3x . .    12 |   0   6   6    6 |   0   0   0   3   3   2   0 |  *   *   *   * 288   *   *   * |  1   0  0  0  2  0 0 |  2  0 0 1
. x . x4o .     8 |   0   4   0    8 |   0   0   0   0   4   0   2 |  *   *   *   *   * 432   *   * |  0   1  0  0  1  1 0 |  1  1 0 1
. . x3x4o .    24 |   0   0  12   24 |   0   0   0   0   0   8   6 |  *   *   *   *   *   * 144   * |  0   0  1  0  1  0 1 |  1  0 1 1
. . . x4o3o     8 |   0   0   0   12 |   0   0   0   0   0   0   6 |  *   *   *   *   *   *   * 144 |  0   0  0  1  0  1 1 |  0  1 1 1
------------+------+------------------+-----------------------------+--------------------------------+----------------------+----------
x3x x3x . .    36 |  18  18  18   18 |   6   9   9   9   9   6   0 |  3   3   3   0   3   0   0   0 | 96   *  *  *  *  * * |  2  0 0 0
x3x . x4o .    24 |  12  12   0   24 |   4   0  12   0  12   0   6 |  0   4   0   3   0   3   0   0 |  * 144  *  *  *  * * |  1  1 0 0
x . x3x4o .    48 |  24   0  24   48 |   0  12  24   0   0  16  12 |  0   0   8   6   0   0   2   0 |  *   * 72  *  *  * * |  1  0 1 0
x . . x4o3o    16 |   8   0   0   24 |   0   0  12   0   0   0  12 |  0   0   0   6   0   0   0   2 |  *   *  * 72  *  * * |  0  1 1 0
. x x3x4o .    48 |   0  24  24   48 |   0   0   0  12  24  16  12 |  0   0   0   0   8   6   2   0 |  *   *  *  * 72  * * |  1  0 0 1
. x . x4o3o    16 |   0   8   0   24 |   0   0   0   0  12   0  12 |  0   0   0   0   0   6   0   2 |  *   *  *  *  * 72 * |  0  1 0 1
. . x3x4o3o   192 |   0   0  96  288 |   0   0   0   0   0  96 144 |  0   0   0   0   0   0  24  24 |  *   *  *  *  *  * 6 |  0  0 1 1
------------+------+------------------+-----------------------------+--------------------------------+----------------------+----------
x3x x3x4o .   144 |  72  72  72  144 |  24  36  72  36  72  48  36 | 12  24  24  18  24  18   6   0 |  8   6  3  0  3  0 0 | 24  * * *
x3x . x4o3o    48 |  24  24   0   72 |   8   0  36   0  36   0  36 |  0  12   0  18   0  18   0   6 |  0   6  0  3  0  3 0 |  * 24 * *
x . x3x4o3o   384 | 192   0 192  576 |   0  96 288   0   0 192 288 |  0   0  96 144   0   0  48  48 |  0   0 24 24  0  0 2 |  *  * 3 *
. x x3x4o3o   384 |   0 192 192  576 |   0   0   0  96 288 192 288 |  0   0   0   0  96 144  48  48 |  0   0  0  0 24 24 2 |  *  * * 3

x6o x3x3x4o

...

x3x x3x3x4o

. . . . . . | 1152 |   1   1   1   1    2 |   1   1   1   2   1   1   2   1   2   2   1 |  1  1   2  1   2   2   1  1   2   2   1  2   1  1 |  1  2  2  1  2  1  1  2  1  1 1 |  2  1 1 1 1
------------+------+----------------------+---------------------------------------------+---------------------------------------------------+---------------------------------+------------
x . . . . . |    2 | 576   *   *   *    * |   1   1   1   2   0   0   0   0   0   0   0 |  1  1   2  1   2   2   1  0   0   0   0  0   0  0 |  1  2  2  1  2  1  1  0  0  0 0 |  2  1 1 1 0
. x . . . . |    2 |   * 576   *   *    * |   1   0   0   0   1   1   2   0   0   0   0 |  1  1   2  0   0   0   0  1   2   2   1  0   0  0 |  1  2  2  1  0  0  0  2  1  1 0 |  2  1 1 0 1
. . x . . . |    2 |   *   * 576   *    * |   0   1   0   0   1   0   0   1   2   0   0 |  1  0   0  1   2   0   0  1   2   0   0  2   1  0 |  1  2  0  0  2  1  0  2  1  0 1 |  2  1 0 1 1
. . . x . . |    2 |   *   *   * 576    * |   0   0   1   0   0   1   0   1   0   2   0 |  0  1   0  1   0   2   0  1   0   2   0  2   0  1 |  1  0  2  0  2  0  1  2  0  1 1 |  2  0 1 1 1
. . . . x . |    2 |   *   *   *   * 1152 |   0   0   0   1   0   0   1   0   1   1   1 |  0  0   1  0   1   1   1  0   1   1   1  1   1  1 |  0  1  1  1  1  1  1  1  1  1 1 |  1  1 1 1 1
------------+------+----------------------+---------------------------------------------+---------------------------------------------------+---------------------------------+------------
x3x . . . . |    6 |   3   3   0   0    0 | 192   *   *   *   *   *   *   *   *   *   * |  1  1   2  0   0   0   0  0   0   0   0  0   0  0 |  1  2  2  1  0  0  0  0  0  0 0 |  2  1 1 0 0
x . x . . . |    4 |   2   0   2   0    0 |   * 288   *   *   *   *   *   *   *   *   * |  1  0   0  1   2   0   0  0   0   0   0  0   0  0 |  1  2  0  0  2  1  0  0  0  0 0 |  2  1 0 1 0
x . . x . . |    4 |   2   0   0   2    0 |   *   * 288   *   *   *   *   *   *   *   * |  0  1   0  1   0   2   0  0   0   0   0  0   0  0 |  1  0  2  0  2  0  1  0  0  0 0 |  2  0 1 1 0
x . . . x . |    4 |   2   0   0   0    2 |   *   *   * 576   *   *   *   *   *   *   * |  0  0   1  0   1   1   1  0   0   0   0  0   0  0 |  0  1  1  1  1  1  1  0  0  0 0 |  1  1 1 1 0
. x x . . . |    4 |   0   2   2   0    0 |   *   *   *   * 288   *   *   *   *   *   * |  1  0   0  0   0   0   0  1   2   0   0  0   0  0 |  1  2  0  0  0  0  0  2  1  0 0 |  2  1 0 0 1
. x . x . . |    4 |   0   2   0   2    0 |   *   *   *   *   * 288   *   *   *   *   * |  0  1   0  0   0   0   0  1   0   2   0  0   0  0 |  1  0  2  0  0  0  0  2  0  1 0 |  2  0 1 0 1
. x . . x . |    4 |   0   2   0   0    2 |   *   *   *   *   *   * 576   *   *   *   * |  0  0   1  0   0   0   0  0   1   1   1  0   0  0 |  0  1  1  1  0  0  0  1  1  1 0 |  1  1 1 0 1
. . x3x . . |    6 |   0   0   3   3    0 |   *   *   *   *   *   *   * 192   *   *   * |  0  0   0  1   0   0   0  1   0   0   0  2   0  0 |  1  0  0  0  2  0  0  2  0  0 1 |  2  0 0 1 1
. . x . x . |    4 |   0   0   2   0    2 |   *   *   *   *   *   *   *   * 576   *   * |  0  0   0  0   1   0   0  0   1   0   0  1   1  0 |  0  1  0  0  1  1  0  1  1  0 1 |  1  1 0 1 1
. . . x3x . |    6 |   0   0   0   3    3 |   *   *   *   *   *   *   *   *   * 384   * |  0  0   0  0   0   1   0  0   0   1   0  1   0  1 |  0  0  1  0  1  0  1  1  0  1 1 |  1  0 1 1 1
. . . . x4o |    4 |   0   0   0   0    4 |   *   *   *   *   *   *   *   *   *   * 288 |  0  0   0  0   0   0   1  0   0   0   1  0   1  1 |  0  0  0  1  0  1  1  0  1  1 1 |  0  1 1 1 1
------------+------+----------------------+---------------------------------------------+---------------------------------------------------+---------------------------------+------------
x3x x . . .    12 |   6   6   6   0    0 |   2   3   0   0   3   0   0   0   0   0   0 | 96  *   *  *   *   *   *  *   *   *   *  *   *  * |  1  2  0  0  0  0  0  0  0  0 0 |  2  1 0 0 0
x3x . x . .    12 |   6   6   0   6    0 |   2   0   3   0   0   3   0   0   0   0   0 |  * 96   *  *   *   *   *  *   *   *   *  *   *  * |  1  0  2  0  0  0  0  0  0  0 0 |  2  0 1 0 0
x3x . . x .    12 |   6   6   0   0    6 |   2   0   0   3   0   0   3   0   0   0   0 |  *  * 192  *   *   *   *  *   *   *   *  *   *  * |  0  1  1  1  0  0  0  0  0  0 0 |  1  1 1 0 0
x . x3x . .    12 |   6   0   6   6    0 |   0   3   3   0   0   0   0   2   0   0   0 |  *  *   * 96   *   *   *  *   *   *   *  *   *  * |  1  0  0  0  2  0  0  0  0  0 0 |  2  0 0 1 0
x . x . x .     8 |   4   0   4   0    4 |   0   2   0   2   0   0   0   0   2   0   0 |  *  *   *  * 288   *   *  *   *   *   *  *   *  * |  0  1  0  0  1  1  0  0  0  0 0 |  1  1 0 1 0
x . . x3x .    12 |   6   0   0   6    6 |   0   0   3   3   0   0   0   0   0   2   0 |  *  *   *  *   * 192   *  *   *   *   *  *   *  * |  0  0  1  0  1  0  1  0  0  0 0 |  1  0 1 1 0
x . . . x4o     8 |   4   0   0   0    8 |   0   0   0   4   0   0   0   0   0   0   2 |  *  *   *  *   *   * 144  *   *   *   *  *   *  * |  0  0  0  1  0  1  1  0  0  0 0 |  0  1 1 1 0
. x x3x . .    12 |   0   6   6   6    0 |   0   0   0   0   3   3   0   2   0   0   0 |  *  *   *  *   *   *   * 96   *   *   *  *   *  * |  1  0  0  0  0  0  0  2  0  0 0 |  2  0 0 0 1
. x x . x .     8 |   0   4   4   0    4 |   0   0   0   0   2   0   2   0   2   0   0 |  *  *   *  *   *   *   *  * 288   *   *  *   *  * |  0  1  0  0  0  0  0  1  1  0 0 |  1  1 0 0 1
. x . x3x .    12 |   0   6   0   6    6 |   0   0   0   0   0   3   3   0   0   2   0 |  *  *   *  *   *   *   *  *   * 192   *  *   *  * |  0  0  1  0  0  0  0  1  0  1 0 |  1  0 1 0 1
. x . . x4o     8 |   0   4   0   0    8 |   0   0   0   0   0   0   4   0   0   0   2 |  *  *   *  *   *   *   *  *   *   * 144  *   *  * |  0  0  0  1  0  0  0  0  1  1 0 |  0  1 1 0 1
. . x3x3x .    24 |   0   0  12  12   12 |   0   0   0   0   0   0   0   4   6   4   0 |  *  *   *  *   *   *   *  *   *   *   * 96   *  * |  0  0  0  0  1  0  0  1  0  0 1 |  1  0 0 1 1
. . x . x4o     8 |   0   0   4   0    8 |   0   0   0   0   0   0   0   0   4   0   2 |  *  *   *  *   *   *   *  *   *   *   *  * 144  * |  0  0  0  0  0  1  0  0  1  0 1 |  0  1 0 1 1
. . . x3x4o    24 |   0   0   0  12   24 |   0   0   0   0   0   0   0   0   0   8   6 |  *  *   *  *   *   *   *  *   *   *   *  *   * 48 |  0  0  0  0  0  0  1  0  0  1 1 |  0  0 1 1 1
------------+------+----------------------+---------------------------------------------+---------------------------------------------------+---------------------------------+------------
x3x x3x . .    36 |  18  18  18  18    0 |   6   9   9   0   9   9   0   6   0   0   0 |  3  3   0  3   0   0   0  3   0   0   0  0   0  0 | 32  *  *  *  *  *  *  *  *  * * |  2  0 0 0 0
x3x x . x .    24 |  12  12  12   0   12 |   4   6   0   6   6   0   6   0   6   0   0 |  2  0   2  0   3   0   0  0   3   0   0  0   0  0 |  * 96  *  *  *  *  *  *  *  * * |  1  1 0 0 0
x3x . x3x .    36 |  18  18   0  18   18 |   6   0   9   9   0   9   9   0   0   6   0 |  0  3   3  0   0   3   0  0   0   3   0  0   0  0 |  *  * 64  *  *  *  *  *  *  * * |  1  0 1 0 0
x3x . . x4o    24 |  12  12   0   0   24 |   4   0   0  12   0   0  12   0   0   0   6 |  0  0   4  0   0   0   3  0   0   0   3  0   0  0 |  *  *  * 48  *  *  *  *  *  * * |  0  1 1 0 0
x . x3x3x .    48 |  24   0  24  24   24 |   0  12  12  12   0   0   0   8  12   8   0 |  0  0   0  4   6   4   0  0   0   0   0  2   0  0 |  *  *  *  * 48  *  *  *  *  * * |  1  0 0 1 0
x . x . x4o    16 |   8   0   8   0   16 |   0   4   0   8   0   0   0   0   8   0   4 |  0  0   0  0   4   0   2  0   0   0   0  0   2  0 |  *  *  *  *  * 72  *  *  *  * * |  0  1 0 1 0
x . . x3x4o    48 |  24   0   0  24   48 |   0   0  12  24   0   0   0   0   0  16  12 |  0  0   0  0   0   8   6  0   0   0   0  0   0  2 |  *  *  *  *  *  * 24  *  *  * * |  0  0 1 1 0
. x x3x3x .    48 |   0  24  24  24   24 |   0   0   0   0  12  12  12   8  12   8   0 |  0  0   0  0   0   0   0  4   6   4   0  2   0  0 |  *  *  *  *  *  *  * 48  *  * * |  1  0 0 0 1
. x x . x4o    16 |   0   8   8   0   16 |   0   0   0   0   4   0   8   0   8   0   4 |  0  0   0  0   0   0   0  0   4   0   2  0   2  0 |  *  *  *  *  *  *  *  * 72  * * |  0  1 0 0 1
. x . x3x4o    48 |   0  24   0  24   48 |   0   0   0   0   0  12  24   0   0  16  12 |  0  0   0  0   0   0   0  0   0   8   6  0   0  2 |  *  *  *  *  *  *  *  *  * 24 * |  0  0 1 0 1
. . x3x3x4o   192 |   0   0  96  96  192 |   0   0   0   0   0   0   0  32  96  64  48 |  0  0   0  0   0   0   0  0   0   0   0 16  24  8 |  *  *  *  *  *  *  *  *  *  * 6 |  0  0 0 1 1
------------+------+----------------------+---------------------------------------------+---------------------------------------------------+---------------------------------+------------
x3x x3x3x .   144 |  72  72  72  72   72 |  24  36  36  36  36  36  36  24  36  24   0 | 12 12  12 12  18  12   0 12  18  12   0  6   0  0 |  4  6  4  0  3  0  0  3  0  0 0 | 16  * * * *
x3x x . x4o    48 |  24  24  24   0   48 |   8  12   0  24  12   0  24   0  24   0  12 |  4  0   8  0  12   0   6  0  12   0   6  0   6  0 |  0  4  0  2  0  3  0  0  3  0 0 |  * 24 * * *
x3x . x3x4o   144 |  72  72   0  72  144 |  24   0  36  72   0  36  72   0   0  48  36 |  0 12  24  0   0  24  18  0   0  24  18  0   0  6 |  0  0  8  6  0  0  3  0  0  3 0 |  *  * 8 * *
x . x3x3x4o   384 | 192   0 192 192  384 |   0  96  96 192   0   0   0  64 192 128  96 |  0  0   0 32  96  64  48  0   0   0   0 32  48 16 |  0  0  0  0 16 24  8  0  0  0 2 |  *  * * 3 *
. x x3x3x4o   384 |   0 192 192 192  384 |   0   0   0   0  96  96 192  64 192 128  96 |  0  0   0  0   0   0   0 32  96  64  48 32  48 16 |  0  0  0  0  0  0  0 16 24  8 2 |  *  * * * 3

x6o x3x3x *d3x

...

x3x x3x3x *d3x

. . . . .    . | 1152 |   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 | 576   *   *   *   *   * |   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 |   * 576   *   *   *   * |   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 |   *   * 576   *   *   * |   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 |   *   *   * 576   *   * |   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 |   *   *   *   * 576   * |   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 |   *   *   *   *   * 576 |   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
---------------+------+-------------------------+-------------------------------------------------------------+--------------------------------------------------------------------+---------------------------------------------+-------------
x3x . . .    . |    6 |   3   3   0   0   0   0 | 192   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  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 |   * 288   *   *   *   *   *   *   *   *   *   *   *   *   * |  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 |   *   * 288   *   *   *   *   *   *   *   *   *   *   *   * |  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 |   *   *   * 288   *   *   *   *   *   *   *   *   *   *   * |  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 |   *   *   *   * 288   *   *   *   *   *   *   *   *   *   * |  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
. x x . .    . |    4 |   0   2   2   0   0   0 |   *   *   *   *   * 288   *   *   *   *   *   *   *   *   * |  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 |   *   *   *   *   *   * 288   *   *   *   *   *   *   *   * |  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 |   *   *   *   *   *   *   * 288   *   *   *   *   *   *   * |  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 |   *   *   *   *   *   *   *   * 288   *   *   *   *   *   * |  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 1 | 0 1  1 1 0 1
. . x3x .    . |    6 |   0   0   3   3   0   0 |   *   *   *   *   *   *   *   *   * 192   *   *   *   *   * |  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 |   *   *   *   *   *   *   *   *   *   * 288   *   *   *   * |  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 |   *   *   *   *   *   *   *   *   *   *   * 288   *   *   * |  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 |   *   *   *   *   *   *   *   *   *   *   *   * 192   *   * |  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 . *d3x |    6 |   0   0   0   3   0   3 |   *   *   *   *   *   *   *   *   *   *   *   *   * 192   * |  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
. . . . x    x |    4 |   0   0   0   0   2   2 |   *   *   *   *   *   *   *   *   *   *   *   *   *   * 288 |  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
---------------+------+-------------------------+-------------------------------------------------------------+--------------------------------------------------------------------+---------------------------------------------+-------------
x3x x . .    .    12 |   6   6   6   0   0   0 |   2   3   0   0   0   3   0   0   0   0   0   0   0   0   0 | 96  *  *  *  *   *   *  *  *   *  *   *   *  *  *   *  *  *   *  * |  1  1  1  0  0  0  0  0  0  0  0  0  0  0 0 | 1 1  1 0 0 0
x3x . x .    .    12 |   6   6   0   6   0   0 |   2   0   3   0   0   0   3   0   0   0   0   0   0   0   0 |  * 96  *  *  *   *   *  *  *   *  *   *   *  *  *   *  *  *   *  * |  1  0  0  1  1  0  0  0  0  0  0  0  0  0 0 | 1 1  0 1 0 0
x3x . . x    .    12 |   6   6   0   0   6   0 |   2   0   0   3   0   0   0   3   0   0   0   0   0   0   0 |  *  * 96  *  *   *   *  *  *   *  *   *   *  *  *   *  *  *   *  * |  0  1  0  1  0  1  0  0  0  0  0  0  0  0 0 | 1 0  1 1 0 0
x3x . . .    x    12 |   6   6   0   0   0   6 |   2   0   0   0   3   0   0   0   3   0   0   0   0   0   0 |  *  *  * 96  *   *   *  *  *   *  *   *   *  *  *   *  *  *   *  * |  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 |  *  *  *  * 96   *   *  *  *   *  *   *   *  *  *   *  *  *   *  * |  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 |  *  *  *  *  * 144   *  *  *   *  *   *   *  *  *   *  *  *   *  * |  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 |  *  *  *  *  *   * 144  *  *   *  *   *   *  *  *   *  *  *   *  * |  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 |  *  *  *  *  *   *   * 96  *   *  *   *   *  *  *   *  *  *   *  * |  0  0  0  1  0  0  1  0  0  1  0  0  0  0 0 | 1 0  0 1 1 0
x . . x . *d3x    12 |   6   0   0   6   0   6 |   0   0   3   0   3   0   0   0   0   0   0   0   0   2   0 |  *  *  *  *  *   *   *  * 96   *  *   *   *  *  *   *  *  *   *  * |  0  0  0  0  1  0  0  1  0  1  0  0  0  0 0 | 0 1  0 1 1 0
x . . . x    x     8 |   4   0   0   0   4   4 |   0   0   0   2   2   0   0   0   0   0   0   0   0   0   2 |  *  *  *  *  *   *   *  *  * 144  *   *   *  *  *   *  *  *   *  * |  0  0  0  0  0  1  0  0  1  1  0  0  0  0 0 | 0 0  1 1 1 0
. x x3x .    .    12 |   0   6   6   6   0   0 |   0   0   0   0   0   3   3   0   0   2   0   0   0   0   0 |  *  *  *  *  *   *   *  *  *   * 96   *   *  *  *   *  *  *   *  * |  1  0  0  0  0  0  0  0  0  0  1  1  0  0 0 | 1 1  0 0 0 1
. x x . x    .     8 |   0   4   4   0   4   0 |   0   0   0   0   0   2   0   2   0   0   2   0   0   0   0 |  *  *  *  *  *   *   *  *  *   *  * 144   *  *  *   *  *  *   *  * |  0  1  0  0  0  0  0  0  0  0  1  0  1  0 0 | 1 0  1 0 0 1
. x x . .    x     8 |   0   4   4   0   0   4 |   0   0   0   0   0   2   0   0   2   0   0   2   0   0   0 |  *  *  *  *  *   *   *  *  *   *  *   * 144  *  *   *  *  *   *  * |  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 |  *  *  *  *  *   *   *  *  *   *  *   *   * 96  *   *  *  *   *  * |  0  0  0  1  0  0  0  0  0  0  1  0  0  1 0 | 1 0  0 1 0 1
. x . x . *d3x    12 |   0   6   0   6   0   6 |   0   0   0   0   0   0   3   0   3   0   0   0   0   2   0 |  *  *  *  *  *   *   *  *  *   *  *   *   *  * 96   *  *  *   *  * |  0  0  0  0  1  0  0  0  0  0  0  1  0  1 0 | 0 1  0 1 0 1
. x . . x    x     8 |   0   4   0   0   4   4 |   0   0   0   0   0   0   0   2   2   0   0   0   0   0   2 |  *  *  *  *  *   *   *  *  *   *  *   *   *  *  * 144  *  *   *  * |  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 |  *  *  *  *  *   *   *  *  *   *  *   *   *  *  *   * 48  *   *  * |  0  0  0  0  0  0  1  0  0  0  1  0  0  0 1 | 1 0  0 0 1 1
. . x3x . *d3x    24 |   0   0  12  12   0  12 |   0   0   0   0   0   0   0   0   0   4   0   6   0   4   0 |  *  *  *  *  *   *   *  *  *   *  *   *   *  *  *   *  * 48   *  * |  0  0  0  0  0  0  0  1  0  0  0  1  0  0 1 | 0 1  0 0 1 1
. . x . x    x     8 |   0   0   4   0   4   4 |   0   0   0   0   0   0   0   0   0   0   2   2   0   0   2 |  *  *  *  *  *   *   *  *  *   *  *   *   *  *  *   *  *  * 144  * |  0  0  0  0  0  0  0  0  1  0  0  0  1  0 1 | 0 0  1 0 1 1
. . . x3x *d3x    24 |   0   0   0  12  12  12 |   0   0   0   0   0   0   0   0   0   0   0   0   4   4   6 |  *  *  *  *  *   *   *  *  *   *  *   *   *  *  *   *  *  *   * 48 |  0  0  0  0  0  0  0  0  0  1  0  0  0  1 1 | 0 0  0 1 1 1
---------------+------+-------------------------+-------------------------------------------------------------+--------------------------------------------------------------------+---------------------------------------------+-------------
x3x x3x .    .    36 |  18  18  18  18   0   0 |   6   9   9   0   0   9   9   0   0   6   0   0   0   0   0 |  3  3  0  0  3   0   0  0  0   0  3   0   0  0  0   0  0  0   0  0 | 32  *  *  *  *  *  *  *  *  *  *  *  *  * * | 1 1  0 0 0 0
x3x x . x    .    24 |  12  12  12   0  12   0 |   4   6   0   6   0   6   0   6   0   0   6   0   0   0   0 |  2  0  2  0  0   3   0  0  0   0  0   3   0  0  0   0  0  0   0  0 |  * 48  *  *  *  *  *  *  *  *  *  *  *  * * | 1 0  1 0 0 0
x3x x . .    x    24 |  12  12  12   0   0  12 |   4   6   0   0   6   6   0   0   6   0   0   6   0   0   0 |  2  0  0  2  0   0   3  0  0   0  0   0   3  0  0   0  0  0   0  0 |  *  * 48  *  *  *  *  *  *  *  *  *  *  * * | 0 1  1 0 0 0
x3x . x3x    .    36 |  18  18   0  18  18   0 |   6   0   9   9   0   0   9   9   0   0   0   0   6   0   0 |  0  3  3  0  0   0   0  3  0   0  0   0   0  3  0   0  0  0   0  0 |  *  *  * 32  *  *  *  *  *  *  *  *  *  * * | 1 0  0 1 0 0
x3x . x . *d3x    36 |  18  18   0  18   0  18 |   6   0   9   0   9   0   9   0   9   0   0   0   0   6   0 |  0  3  0  3  0   0   0  0  3   0  0   0   0  0  3   0  0  0   0  0 |  *  *  *  * 32  *  *  *  *  *  *  *  *  * * | 0 1  0 1 0 0
x3x . . x    x    24 |  12  12   0   0  12  12 |   4   0   0   6   6   0   0   6   6   0   0   0   0   0   6 |  0  0  2  2  0   0   0  0  0   3  0   0   0  0  0   3  0  0   0  0 |  *  *  *  *  * 48  *  *  *  *  *  *  *  * * | 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 |  *  *  *  *  *  * 24  *  *  *  *  *  *  * * | 1 0  0 0 1 0
x . x3x . *d3x    48 |  24   0  24  24   0  24 |   0  12  12   0  12   0   0   0   0   8   0  12   0   8   0 |  0  0  0  0  4   0   6  0  4   0  0   0   0  0  0   0  0  2   0  0 |  *  *  *  *  *  *  * 24  *  *  *  *  *  * * | 0 1  0 0 1 0
x . x . x    x    16 |   8   0   8   0   8   8 |   0   4   0   4   4   0   0   0   0   0   4   4   0   0   4 |  0  0  0  0  0   2   2  0  0   2  0   0   0  0  0   0  0  0   2  0 |  *  *  *  *  *  *  *  * 72  *  *  *  *  * * | 0 0  1 0 1 0
x . . x3x *d3x    48 |  24   0   0  24  24  24 |   0   0  12  12  12   0   0   0   0   0   0   0   8   8  12 |  0  0  0  0  0   0   0  4  4   6  0   0   0  0  0   0  0  0   0  2 |  *  *  *  *  *  *  *  *  * 24  *  *  *  * * | 0 0  0 1 1 0
. x x3x3x    .    48 |   0  24  24  24  24   0 |   0   0   0   0   0  12  12  12   0   8  12   0   8   0   0 |  0  0  0  0  0   0   0  0  0   0  4   6   0  4  0   0  2  0   0  0 |  *  *  *  *  *  *  *  *  *  * 24  *  *  * * | 1 0  0 0 0 1
. x x3x . *d3x    48 |   0  24  24  24   0  24 |   0   0   0   0   0  12  12   0  12   8   0  12   0   8   0 |  0  0  0  0  0   0   0  0  0   0  4   0   6  0  4   0  0  2   0  0 |  *  *  *  *  *  *  *  *  *  *  * 24  *  * * | 0 1  0 0 0 1
. x x . x    x    16 |   0   8   8   0   8   8 |   0   0   0   0   0   4   0   4   4   0   4   4   0   0   4 |  0  0  0  0  0   0   0  0  0   0  0   2   2  0  0   2  0  0   2  0 |  *  *  *  *  *  *  *  *  *  *  *  * 72  * * | 0 0  1 0 0 1
. x . x3x *d3x    48 |   0  24   0  24  24  24 |   0   0   0   0   0   0  12  12  12   0   0   0   8   8  12 |  0  0  0  0  0   0   0  0  0   0  0   0   0  4  4   6  0  0   0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  * 24 * | 0 0  0 1 0 1
. . x3x3x *d3x   192 |   0   0  96  96  96  96 |   0   0   0   0   0   0   0   0   0  32  48  48  32  32  48 |  0  0  0  0  0   0   0  0  0   0  0   0   0  0  0   0  8  8  24  8 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 6 | 0 0  0 0 1 1
---------------+------+-------------------------+-------------------------------------------------------------+--------------------------------------------------------------------+---------------------------------------------+-------------
x3x x3x3x    .   144 |  72  72  72  72  72   0 |  24  36  36  36   0  36  36  36   0  24  36   0  24   0   0 | 12 12 12  0 12  18   0 12  0   0 12  18   0 12  0   0  6  0   0  0 |  4  6  0  4  0  0  3  0  0  0  3  0  0  0 0 | 8 *  * * * *
x3x x3x . *d3x   144 |  72  72  72  72   0  72 |  24  36  36   0  36  36  36   0  36  24   0  36   0  24   0 | 12 12  0 12 12   0  18  0 12   0 12   0  18  0 12   0  0  6   0  0 |  4  0  6  0  4  0  0  3  0  0  0  3  0  0 0 | * 8  * * * *
x3x x . x    x    48 |  24  24  24   0  24  24 |   8  12   0  12  12  12   0  12  12   0  12  12   0   0  12 |  4  0  4  4  0   6   6  0  0   6  0   6   6  0  0   6  0  0   6  0 |  0  2  2  0  0  2  0  0  3  0  0  0  3  0 0 | * * 24 * * *
x3x . x3x *d3x   144 |  72  72   0  72  72  72 |  24   0  36  36  36   0  36  36  36   0   0   0  24  24  36 |  0 12 12 12  0   0   0 12 12  18  0   0   0 12 12  18  0  0   0  6 |  0  0  0  4  4  6  0  0  0  3  0  0  0  3 0 | * *  * 8 * *
x . x3x3x *d3x   384 | 192   0 192 192 192 192 |   0  96  96  96  96   0   0   0   0  64  96  96  64  64  96 |  0  0  0  0 32  48  48 32 32  48  0   0   0  0  0   0 16 16  48 16 |  0  0  0  0  0  0  8  8 24  8  0  0  0  0 2 | * *  * * 3 *
. x x3x3x *d3x   384 |   0 192 192 192 192 192 |   0   0   0   0   0  96  96  96  96  64  96  96  64  64  96 |  0  0  0  0  0   0   0  0  0   0 32  48  48 32 32  48 16 16  48 16 |  0  0  0  0  0  0  0  0  0  0  8  8 24  8 2 | * *  * * * 3

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