Acronym octico
Name octahedron - icositetrachoron duoprism
Circumradius sqrt(3/2) = 1.224745
Volume sqrt(8)/3 = 0.942809
Face vector 144, 864, 1920, 2088, 1158, 300, 32
Confer
general polytopal classes:
Wythoffian polyexa  

Incidence matrix according to Dynkin symbol

x3o4o x3o4o3o

. . . . . . . | 144 |   4   8 |   4   32  12 |  1  32   48   6 |  8  48  24 1 | 12  24  4 |  6 4
--------------+-----+---------+--------------+-----------------+--------------+-----------+-----
x . . . . . . |   2 | 288   * |   2    8   0 |  1  16   12   0 |  8  24   6 0 | 12  12  1 |  6 2
. . . x . . . |   2 |   * 576 |   0    4   3 |  0   4   12   3 |  1  12  12 1 |  3  12  4 |  3 4
--------------+-----+---------+--------------+-----------------+--------------+-----------+-----
x3o . . . . . |   3 |   3   0 | 192    *   * |  1   8    0   0 |  8  12   0 0 | 12   6  0 |  6 1
x . . x . . . |   4 |   2   2 |   * 1152   * |  0   2    3   0 |  1   6   3 0 |  3   6  1 |  3 2
. . . x3o . . |   3 |   0   3 |   *    * 576 |  0   0    4   2 |  0   4   8 1 |  1   8  4 |  2 4
--------------+-----+---------+--------------+-----------------+--------------+-----------+-----
x3o4o . . . .    6 |  12   0 |   8    0   0 | 24   *    *   *   8   0   0 0 | 12   0  0 |  6 0
x3o . x . . .    6 |   6   3 |   2    3   0 |  * 768    *   * |  1   3   0 0 |  3   3  0 |  3 1
x . . x3o . .    6 |   3   6 |   0    3   2 |  *   * 1152   * |  0   2   2 0 |  1   4  1 |  2 2
. . . x3o4o .    6 |   0  12 |   0    0   8 |  *   *    * 144 |  0   0   4 1 |  0   4  4 |  1 4
--------------+-----+---------+--------------+-----------------+--------------+-----------+-----
x3o4o x . . .   12 |  24   6 |  16   12   0 |  2   8    0   0 | 96   *   * * |  3   0  0 |  3 0
x3o . x3o . .    9 |   9   9 |   3    9   3 |  0   3    3   0 |  * 768   * * |  1   2  0 |  2 1
x . . x3o4o .   12 |   6  24 |   0   12  16 |  0   0    8   2 |  *   * 288 * |  0   2  1 |  1 2
. . . x3o4o3o   24 |   0  96 |   0    0  96 |  0   0    0  24 |  *   *   * 6 |  0   0  4 |  0 4
--------------+-----+---------+--------------+-----------------+--------------+-----------+-----
x3o4o x3o . .   18 |  36  18 |  24   36   6 |  3  24   12   0 |  3   8   0 0 | 96   *  * |  2 0
x3o . x3o4o .   18 |  18  36 |   6   36  24 |  0  12   24   3 |  0   8   3 0 |  * 192  * |  1 1
x . . x3o4o3o   48 |  24 192 |   0   96 192 |  0   0   96  48 |  0   0  24 2 |  *   * 12 |  0 2
--------------+-----+---------+--------------+-----------------+--------------+-----------+-----
x3o4o x3o4o .   36 |  72  72 |  48  144  48 |  6  96   96   6 | 12  64  12 0 |  8   8  0 | 24 *
x3o . x3o4o3o   72 |  72 288 |  24  288 288 |  0  96  288  72 |  0  96  72 3 |  0  24  3 |  * 8

o3x3o x3o4o3o

. . . . . . . | 144 |   4   8 |  2  2   32  12 |  1  16  16   48   6 |  8  24  24  24 1 | 12 12 12  4 |  6 2 2
--------------+-----+---------+----------------+---------------------+------------------+-------------+-------
. x . . . . . |   2 | 288   * |  1  1    8   0 |  1   8   8   12   0 |  8  12  12   6 0 | 12  6  6  1 |  6 1 1
. . . x . . . |   2 |   * 576 |  0  0    4   3 |  0   2   2   12   3 |  1   6   6  12 1 |  3  6  6  4 |  3 2 2
--------------+-----+---------+----------------+---------------------+------------------+-------------+-------
o3x . . . . . |   3 |   3   0 | 96  *    *   * |  1   8   0    0   0 |  8  12   0   0 0 | 12  6  0  0 |  6 1 0
. x3o . . . . |   3 |   3   0 |  * 96    *   * |  1   0   8    0   0 |  8   0  12   0 0 | 12  0  6  0 |  6 0 1
. x . x . . . |   4 |   2   2 |  *  * 1152   * |  0   1   1    3   0 |  1   3   3   3 0 |  3  3  3  1 |  3 1 1
. . . x3o . . |   3 |   0   3 |  *  *    * 576 |  0   0   0    4   2 |  0   2   2   8 1 |  1  4  4  4 |  2 2 2
--------------+-----+---------+----------------+---------------------+------------------+-------------+-------
o3x3o . . . .    6 |  12   0 |  4  4    0   0 | 24   *   *    *   *   8   0   0   0 0 | 12  0  0  0 |  6 0 0
o3x . x . . .    6 |   6   3 |  2  0    3   0 |  * 384   *    *   * |  1   3   0   0 0 |  3  3  0  0 |  3 1 0
. x3o x . . .    6 |   6   3 |  0  2    3   0 |  *   * 384    *   * |  1   0   3   0 0 |  3  0  3  0 |  3 0 1
. x . x3o . .    6 |   3   6 |  0  0    3   2 |  *   *   * 1152   * |  0   1   1   2 0 |  1  2  2  1 |  2 1 1
. . . x3o4o .    6 |   0  12 |  0  0    0   8 |  *   *   *    * 144 |  0   0   0   4 1 |  0  2  2  4 |  1 2 2
--------------+-----+---------+----------------+---------------------+------------------+-------------+-------
o3x3o x . . .   12 |  24   6 |  8  8   12   0 |  2   4   4    0   0 | 96   *   *   * * |  3  0  0  0 |  3 0 0
o3x . x3o . .    9 |   9   9 |  3  0    9   3 |  0   3   0    3   0 |  * 384   *   * * |  1  2  0  0 |  2 1 0
. x3o x3o . .    9 |   9   9 |  0  3    9   3 |  0   0   3    3   0 |  *   * 384   * * |  1  0  2  0 |  2 0 1
. x . x3o4o .   12 |   6  24 |  0  0   12  16 |  0   0   0    8   2 |  *   *   * 288 * |  0  0  2  1 |  1 1 1
. . . x3o4o3o   24 |   0  96 |  0  0    0  96 |  0   0   0    0  24 |  *   *   *   * 6 |  0  0  0  4 |  0 2 2
--------------+-----+---------+----------------+---------------------+------------------+-------------+-------
o3x3o x3o . .   18 |  36  18 | 12 12   36   6 |  3  12  12   12   0 |  3   4   4   0 0 | 96  *  *  * |  2 0 0
o3x . x3o4o .   18 |  16  36 |  6  0   36  24 |  0  12   0   24   3 |  0   8   0   3 0 |  * 96  *  * |  1 1 0
. x3o x3o4o .   18 |  16  36 |  0  6   36  24 |  0   0  12   24   3 |  0   0   8   3 0 |  *  * 96  * |  1 0 1
. x . x3o4o3o   48 |  24 192 |  0  0   96 192 |  0   0   0   96  48 |  0   0   0  24 2 |  *  *  * 12 |  0 1 1
--------------+-----+---------+----------------+---------------------+------------------+-------------+-------
o3x3o x3o4o .   36 |  72  72 | 24 24  144  48 |  6  48  48   96   6 | 12  32  32  12 0 |  8  4  4  0 | 24 * *
o3x . x3o4o3o   72 |  72 288 | 24  0  288 288 |  0  96   0  288  72 |  0  96   0  72 3 |  0 24  0  3 |  * 4 *
. x3o x3o4o3o   72 |  72 288 |  0 24  288 288 |  0   0  96  288  72 |  0   0  96  72 3 |  0  0 24  3 |  * * 4

x3o4o o3x3o4o

. . . . . . . | 144 |   4   8 |   4   32   4   8 |  1  32  16  32  4  2 |  8  16  32  16  8 1 |  4  8  16  8  4 |  4 2 4
--------------+-----+---------+------------------+----------------------+---------------------+-----------------+-------
x . . . . . . |   2 | 288   * |   2    8   0   0 |  1  16   4   8  0  0 |  8   8  16   4  2 0 |  4  8   8  4  1 |  4 2 2
. . . . x . . |   2 |   * 576 |   0    4   1   2 |  0   4   4   8  2  1 |  1   4   8   8  4 1 |  1  2   8  4  4 |  2 1 4
--------------+-----+---------+------------------+----------------------+---------------------+-----------------+-------
x3o . . . . . |   3 |   3   0 | 192    *   *   * |  1   8   0   0  0  0 |  8   4   8   0  0 0 |  4  8   4  2  0 |  4 2 1
x . . . x . . |   4 |   2   2 |   * 1152   *   * |  0   2   1   2  0  0 |  1   2   4   2  1 0 |  1  2   4  2  1 |  2 1 2
. . . o3x . . |   3 |   0   3 |   *    * 192   * |  0   0   4   0  2  0 |  0   4   0   8  0 1 |  1  0   8  0  4 |  2 0 4
. . . . x3o . |   3 |   0   3 |   *    *   * 384 |  0   0   0   4  1  1 |  0   0   4   4  4 1 |  0  1   4  4  4 |  1 1 4
--------------+-----+---------+------------------+----------------------+---------------------+-----------------+-------
x3o4o . . . .    6 |  12   0 |   8    0   0   0 | 24   *   *   *  *  *   8   0   0   0  0 0 |  4  8   0  0  0 |  4 2 0
x3o . . x . .    6 |   6   3 |   2    3   0   0 |  * 768   *   *  *  * |  1   1   2   0  0 0 |  1  2   2  1  0 |  2 1 1
x . . o3x . .    6 |   3   6 |   0    3   2   0 |  *   * 384   *  *  * |  0   2   0   2  0 0 |  1  0   4  0  1 |  2 0 2
x . . . x3o .    6 |   3   6 |   0    3   0   2 |  *   *   * 768  *  * |  0   0   2   1  1 0 |  0  1   2  2  1 |  1 1 2
. . . o3x3o .    6 |   0  12 |   0    0   4   4 |  *   *   *   * 96  * |  0   0   0   4  0 1 |  0  0   4  0  4 |  1 0 4
. . . . x3o4o    6 |   0  12 |   0    0   0   8 |  *   *   *   *  * 48 |  0   0   0   0  4 1 |  0  0   0  4  4 |  0 1 4
--------------+-----+---------+------------------+----------------------+---------------------+-----------------+-------
x3o4o . x . .   12 |  24   6 |  16   12   0   0 |  2   8   0   0  0  0 | 96   *   *   *  * * |  1  2   0  0  0 |  2 1 0
x3o . o3x . .    9 |   9   9 |   3    9   3   0 |  0   3   3   0  0  0 |  * 256   *   *  * * |  1  0   2  0  0 |  2 0 1
x3o . . x3o .    9 |   9   9 |   3    9   0   3 |  0   3   0   3  0  0 |  *   * 512   *  * * |  0  1   1  1  0 |  1 1 1
x . . o3x3o .   12 |   6  24 |   0   12   8   8 |  0   0   4   4  2  0 |  *   *   * 192  * * |  0  0   2  0  1 |  1 0 2
x . . . x3o4o   12 |   6  24 |   0   12   0  16 |  0   0   0   8  0  2 |  *   *   *   * 96 * |  0  0   0  2  1 |  0 1 2
. . . o3x3o4o   24 |   0  96 |   0    0  32  64 |  0   0   0   0 16  8 |  *   *   *   *  * 6 |  0  0   0  0  4 |  0 0 4
--------------+-----+---------+------------------+----------------------+---------------------+-----------------+-------
x3o4o o3x . .   18 |  36  18 |  24   36   6   0 |  3  24  12   0  0  0 |  3   8   0   0  0 0 | 32  *   *  *  * |  2 0 0
x3o4o . x3o .   18 |  36  18 |  24   36   0   6 |  3  24   0  12  0  0 |  3   0   8   0  0 0 |  * 64   *  *  * |  1 1 0
x3o . o3x3o .   18 |  18  36 |   6   36  12  12 |  0  12  12  12  3  0 |  0   4   4   3  0 0 |  *  * 128  *  * |  1 0 1
x3o . . x3o4o   18 |  18  36 |   6   36   0  24 |  0  12   0  24  0  3 |  0   0   8   0  3 0 |  *  *   * 64  * |  0 1 1
x . . o3x3o4o   48 |  24 192 |   0   96  64 128 |  0   0  32  64 32 16 |  0   0   0  16  8 2 |  *  *   *  * 12 |  0 0 2
--------------+-----+---------+------------------+----------------------+---------------------+-----------------+-------
x3o4o o3x3o .   36 |  72  72 |  48  144  24  24 |  6  96  48  48  6  0 | 12  32  32  12  0 0 |  4  4   8  0  0 | 16 * *
x3o4o . x3o4o   36 |  72  72 |  48  144   0  48 |  6  96   0  96  0  6 | 12   0  64   0 12 0 |  0  8   0  8  0 |  * 8 *
x3o . o3x3o4o   72 |  72 288 |  24  288  96 192 |  0  96  96 192 48 24 |  0  32  64  48 24 3 |  0  0  16  8  3 |  * * 8

o3x3o o3x3o4o

. . . . . . . | 144 |   4   8 |  2  2   32   4   8 |  1  16  16  16  32  4  2 |  8   8  16   8  16  16  8 1 |  4  8  8  4  8  4  4 |  4 2 2 2
--------------+-----+---------+--------------------+--------------------------+-----------------------------+----------------------+---------
. x . . . . . |   2 | 288   * |  1  1    8   0   0 |  1   8   8   4   8  0  0 |  8   4   8   4   8   4  2 0 |  4  8  4  2  4  2  1 |  4 2 1 1
. . . . x . . |   2 |   * 576 |  0  0    4   1   2 |  0   2   2   4   8  2  1 |  1   2   4   2   4   8  4 1 |  1  2  4  2  4  2  4 |  2 1 2 2
--------------+-----+---------+--------------------+--------------------------+-----------------------------+----------------------+---------
o3x . . . . . |   3 |   3   0 | 96  *    *   *   * |  1   8   0   0   0  0  0 |  8   4   8   0   0   0  0 0 |  4  8  4  2  0  0  0 |  4 2 1 0
. x3o . . . . |   3 |   3   0 |  * 96    *   *   * |  1   0   8   0   0  0  0 |  8   0   0   4   8   0  0 0 |  4  8  0  0  4  2  0 |  4 2 0 1
. x . . x . . |   4 |   2   2 |  *  * 1152   *   * |  0   1   1   1   2  0  0 |  1   1   2   1   2   2  1 0 |  1  2  2  1  2  1  1 |  2 1 1 1
. . . o3x . . |   3 |   0   3 |  *  *    * 192   * |  0   0   0   4   0  2  0 |  0   2   0   2   0   8  0 1 |  1  0  4  0  4  0  4 |  2 0 2 2
. . . . x3o . |   3 |   0   3 |  *  *    *   * 384 |  0   0   0   0   4  1  1 |  0   0   2   0   2   4  4 1 |  0  1  2  2  2  2  4 |  1 1 2 2
--------------+-----+---------+--------------------+--------------------------+-----------------------------+----------------------+---------
o3x3o . . . .    6 |  12   0 |  4  4    0   0   0 | 24   *   *   *   *  *  *   8   0   0   0   0   0  0 0 |  4  8  0  0  0  0  0 |  4 2 0 0
o3x . . x . .    6 |   6   3 |  2  0    3   0   0 |  * 384   *   *   *  *  * |  1   1   2   0   0   0  0 0 |  1  2  2  1  0  0  0 |  2 1 1 0
. x3o . x . .    6 |   6   3 |  0  2    3   0   0 |  *   * 384   *   *  *  * |  1   0   0   1   2   0  0 0 |  1  2  0  0  2  1  0 |  2 1 0 1
. x . o3x . .    6 |   3   6 |  0  0    3   2   0 |  *   *   * 384   *  *  * |  0   1   0   1   0   2  0 0 |  1  0  2  0  2  0  1 |  2 0 1 1
. x . . x3o .    6 |   3   6 |  0  0    3   0   2 |  *   *   *   * 768  *  * |  0   0   1   0   1   1  1 0 |  0  1  1  1  1  1  1 |  1 1 1 1
. . . o3x3o .    6 |   0  12 |  0  0    0   4   4 |  *   *   *   *   * 96  * |  0   0   0   0   0   4  0 1 |  0  0  2  0  2  0  4 |  1 0 2 2
. . . . x3o4o    6 |   0  12 |  0  0    0   0   8 |  *   *   *   *   *  * 48 |  0   0   0   0   0   0  4 1 |  0  0  0  2  0  2  4 |  0 1 2 2
--------------+-----+---------+--------------------+--------------------------+-----------------------------+----------------------+---------
o3x3o . x . .   12 |  24   6 |  8  8   12   0   0 |  2   4   4   0   0  0  0 | 96   *   *   *   *   *  * * |  1  2  0  0  0  0  0 |  2 1 0 0
o3x . o3x . .    9 |   9   9 |  3  0    9   3   0 |  0   3   0   3   0  0  0 |  * 128   *   *   *   *  * * |  1  0  2  0  0  0  0 |  2 0 1 0
o3x . . x3o .    9 |   9   9 |  3  0    9   0   3 |  0   3   0   0   3  0  0 |  *   * 256   *   *   *  * * |  0  1  1  1  0  0  0 |  1 1 1 0
. x3o o3x . .    9 |   9   9 |  0  3    9   3   0 |  0   0   3   3   0  0  0 |  *   *   * 128   *   *  * * |  1  0  0  0  2  0  0 |  2 0 0 1
. x3o . x3o .    9 |   9   9 |  0  3    9   0   3 |  0   0   3   0   3  0  0 |  *   *   *   * 256   *  * * |  0  1  0  0  1  1  0 |  1 1 0 1
. x . o3x3o .   12 |   6  24 |  0  0   12   8   8 |  0   0   0   4   4  2  0 |  *   *   *   *   * 192  * * |  0  0  1  0  1  0  1 |  1 0 1 1
. x . . x3o4o   12 |   6  24 |  0  0   12   0  16 |  0   0   0   0   8  0  2 |  *   *   *   *   *   * 96 * |  0  0  0  1  0  1  1 |  0 1 1 1
. . . o3x3o4o   24 |   0  96 |  0  0    0  32  64 |  0   0   0   0   0 16  8 |  *   *   *   *   *   *  * 6 |  0  0  0  0  0  0  4 |  0 0 2 2
--------------+-----+---------+--------------------+--------------------------+-----------------------------+----------------------+---------
o3x3o o3x . .   18 |  36  18 | 12 12   36   6   0 |  3  12  12  12   0  0  0 |  3   4   0   4   0   0  0 0 | 32  *  *  *  *  *  * |  2 0 0 0
o3x3o . x3o .   18 |  36  18 | 12 12   36   0   6 |  3  12  12   0  12  0  0 |  3   0   4   0   4   0  0 0 |  * 64  *  *  *  *  * |  1 1 0 0
o3x . o3x3o .   18 |  18  36 |  6  0   36  12  12 |  0  12   0  12  12  3  0 |  0   4   4   0   0   3  0 0 |  *  * 64  *  *  *  * |  1 0 1 0
o3x . . x3o4o   18 |  18  36 |  6  0   36   0  24 |  0  12   0   0  24  0  3 |  0   0   8   0   0   0  3 0 |  *  *  * 32  *  *  * |  0 1 1 0
. x3o o3x3o .   18 |  18  36 |  0  6   36  12  12 |  0   0  12  12  12  3  0 |  0   0   0   4   4   3  0 0 |  *  *  *  * 64  *  * |  1 0 0 1
. x3o . x3o4o   18 |  18  36 |  0  6   36   0  24 |  0   0  12   0  24  0  3 |  0   0   0   0   8   0  3 0 |  *  *  *  *  * 32  * |  0 1 0 1
. x . o3x3o4o   48 |  24 192 |  0  0   96  64 128 |  0   0   0  32  64 32 16 |  0   0   0   0   0  16  8 2 |  *  *  *  *  *  * 12 |  0 0 1 1
--------------+-----+---------+--------------------+--------------------------+-----------------------------+----------------------+---------
o3x3o o3x3o .   36 |  72  72 | 24 24  144  24  24 |  6  48  48  48  48  6  0 | 12  16  16  16  16  12  0 0 |  4  4  4  0  4  0  0 | 16 * * *
o3x3o . x3o4o   36 |  72  72 | 24 24  144   0  48 |  6  48  48   0  96  0  6 | 12   0  32   0  32   0 12 0 |  0  8  0  4  0  4  0 |  * 8 * *
o3x . o3x3o4o   72 |  72 288 | 24  0  288  96 192 |  0  96   0  96 192 48 24 |  0  32  64   0   0  48 24 3 |  0  0 16  8  0  0  3 |  * * 4 *
. x3o o3x3o4o   72 |  72 288 |  0 24  288  96 192 |  0   0  96  96 192 48 24 |  0   0   0  32  64  48 24 3 |  0  0  0  0 16  8  3 |  * * * 4

x3o4o o3x3o *e3o

. . . . . .    . | 144 |   4   8 |   4   32   4   4   4 |  4  32  16  16  16  2  2  2 |  8  16  16  16  8  8  8 1 |  4  4  4  8  8  8  4 | 2 2 2 4
-----------------+-----+---------+----------------------+-----------------------------+---------------------------+----------------------+--------
x . . . . .    . |   2 | 288   * |   2    8   0   0   0 |  1  16   4   4   4  0  0  0 |  8   8   8   8  2  2  2 0 |  4  4  4  4  4  4  1 | 2 2 2 2
. . . . x .    . |   2 |   * 576 |   0    4   1   1   1 |  0   4   4   4   4  1  1  1 |  1   4   4   4  4  4  4 1 |  1  1  1  4  4  4  4 | 1 1 1 4
-----------------+-----+---------+----------------------+-----------------------------+---------------------------+----------------------+--------
x3o . . . .    . |   3 |   3   0 | 192    *   *   *   * |  1   8   0   0   0  0  0  0 |  8   4   4   4  0  0  0 0 |  4  4  4  2  2  2  0 | 2 2 2 1
x . . . x .    . |   4 |   2   2 |   * 1152   *   *   * |  0   2   1   1   1  0  0  0 |  1   2   2   2  1  1  1 0 |  1  1  1  2  2  2  1 | 1 1 1 2
. . . o3x .    . |   3 |   0   3 |   *    * 192   *   * |  0   0   4   0   0  1  1  0 |  0   4   0   0  4  4  0 1 |  1  0  0  4  4  0  4 | 1 1 0 4
. . . . x3o    . |   3 |   0   3 |   *    *   * 192   * |  0   0   0   4   0  1  0  1 |  0   0   4   0  4  0  4 1 |  0  1  0  4  0  4  4 | 1 0 1 4
. . . . x . *e3o |   3 |   0   3 |   *    *   *   * 192 |  0   0   0   0   4  0  1  1 |  0   0   0   4  0  4  4 1 |  0  0  1  0  4  4  4 | 0 1 1 4
-----------------+-----+---------+----------------------+-----------------------------+---------------------------+----------------------+--------
x3o4o . . .    .    6 |  12   0 |   8    0   0   0   0 | 24   *   *   *   *  *  *  *   8   0   0   0  0  0  0 0 |  4  4  4  0  0  0  0 | 2 2 2 0
x3o . . x .    .    6 |   6   3 |   2    3   0   0   0 |  * 768   *   *   *  *  *  * |  1   1   1   1  0  0  0 0 |  1  1  1  1  1  1  0 | 1 1 1 1
x . . o3x .    .    6 |   3   6 |   0    3   2   0   0 |  *   * 384   *   *  *  *  * |  0   2   0   0  1  1  0 0 |  1  0  0  2  2  0  1 | 1 1 0 2
x . . . x3o    .    6 |   3   6 |   0    3   0   2   0 |  *   *   * 384   *  *  *  * |  0   0   2   0  1  0  1 0 |  0  1  0  2  0  2  1 | 1 0 1 2
x . . . x . *e3o    6 |   3   6 |   0    3   0   0   2 |  *   *   *   * 384  *  *  * |  0   0   0   2  0  1  1 0 |  0  0  1  0  2  2  1 | 0 1 1 2
. . . o3x3o    .    6 |   0  12 |   0    0   4   4   0 |  *   *   *   *   * 48  *  * |  0   0   0   0  4  0  0 1 |  0  0  0  4  0  0  4 | 1 0 0 4
. . . o3x . *e3o    6 |   0  12 |   0    0   4   0   4 |  *   *   *   *   *  * 48  * |  0   0   0   0  0  4  0 1 |  0  0  0  0  4  0  4 | 0 1 0 4
. . . . x3o *e3o    6 |   0  12 |   0    0   0   4   4 |  *   *   *   *   *  *  * 48 |  0   0   0   0  0  0  4 1 |  0  0  0  0  0  4  4 | 0 0 1 4
-----------------+-----+---------+----------------------+-----------------------------+---------------------------+----------------------+--------
x3o4o . x .    .   12 |  24   6 |  16   12   0   0   0 |  2   8   0   0   0  0  0  0 | 96   *   *   *  *  *  * * |  1  1  1  0  0  0  0 | 1 1 1 0
x3o . o3x .    .    9 |   9   9 |   3    9   3   0   0 |  0   3   3   0   0  0  0  0 |  * 256   *   *  *  *  * * |  1  0  0  1  1  0  0 | 1 1 0 1
x3o . . x3o    .    9 |   9   9 |   3    9   0   3   0 |  0   3   0   3   0  0  0  0 |  *   * 256   *  *  *  * * |  0  1  0  1  0  1  0 | 1 0 1 1
x3o . . x . *e3o    9 |   9   9 |   3    9   0   0   3 |  0   3   0   0   3  0  0  0 |  *   *   * 256  *  *  * * |  0  0  1  0  1  1  0 | 0 1 1 1
x . . o3x3o    .   12 |   6  24 |   0   12   8   8   0 |  0   0   4   4   0  2  0  0 |  *   *   *   * 96  *  * * |  0  0  0  2  0  0  1 | 1 0 0 2
x . . o3x . *e3o   12 |   6  24 |   0   12   8   0   8 |  0   0   4   0   4  0  2  0 |  *   *   *   *  * 96  * * |  0  0  0  0  2  0  1 | 0 1 0 2
x . . . x3o *e3o   12 |   6  24 |   0   12   0   8   8 |  0   0   0   4   4  0  0  2 |  *   *   *   *  *  * 96 * |  0  0  0  0  0  2  1 | 0 0 1 2
. . . o3x3o *e3o   24 |   0  96 |   0    0  32  32  32 |  0   0   0   0   0  8  8  8 |  *   *   *   *  *  *  * 6 |  0  0  0  0  0  0  4 | 0 0 0 4
-----------------+-----+---------+----------------------+-----------------------------+---------------------------+----------------------+--------
x3o4o o3x .    .   18 |  36  18 |  24   36   6   0   0 |  3  24  12   0   0  0  0  0 |  3   8   0   0  0  0  0 0 | 32  *  *  *  *  *  * | 1 1 0 0
x3o4o . x3o    .   18 |  36  18 |  24   36   0   6   0 |  3  24   0  12   0  0  0  0 |  3   0   8   0  0  0  0 0 |  * 32  *  *  *  *  * | 1 0 1 0
x3o4o . x . *e3o   18 |  36  18 |  24   36   0   0   6 |  3  24   0   0  12  0  0  0 |  3   0   0   8  0  0  0 0 |  *  * 32  *  *  *  * | 0 1 1 0
x3o . o3x3o    .   18 |  18  36 |   6   36  12  12   0 |  0  12  12  12   0  3  0  0 |  0   4   4   0  3  0  0 0 |  *  *  * 64  *  *  * | 1 0 0 1
x3o . o3x . *e3o   18 |  18  36 |   6   36  12   0  12 |  0  12  12   0  12  0  3  0 |  0   4   0   4  0  3  0 0 |  *  *  *  * 64  *  * | 0 1 0 1
x3o . . x3o *e3o   18 |  18  36 |   6   36   0  12  12 |  0  12   0  12  12  0  0  3 |  0   0   4   4  0  0  3 0 |  *  *  *  *  * 64  * | 0 0 1 1
x . . o3x3o *e3o   48 |  24 192 |   0   96  64  64  64 |  0   0  32  32  32 16 16 16 |  0   0   0   0  8  8  8 2 |  *  *  *  *  *  * 12 | 0 0 0 2
-----------------+-----+---------+----------------------+-----------------------------+---------------------------+----------------------+--------
x3o4o o3x3o    .   36 |  72  72 |  48  144  24  24   0 |  6  96  48  48   0  6  0  0 | 12  32  32   0 12  0  0 0 |  4  4  0  8  0  0  0 | 8 * * *
x3o4o o3x . *e3o   36 |  72  72 |  48  144  24   0  24 |  6  96  48   0  48  0  6  0 | 12  32   0  32  0 12  0 0 |  4  0  4  0  8  0  0 | * 8 * *
x3o4o . x3o *e3o   36 |  72  72 |  48  144   0  24  24 |  6  96   0  48  48  0  0  6 | 12   0  32  32  0  0 12 0 |  0  4  4  0  0  8  0 | * * 8 *
x3o . o3x3o *e3o   72 |  72 288 |  24  288  96  96  96 |  0  96  96  96  96 24 24 24 |  0  32  32  32 24 24 24 3 |  0  0  0  8  8  8  3 | * * * 8

o3x3o o3x3o *e3o

. . . . . .    . | 144 |   4   8 |  2  2   32   4   4   4 |  4  16  16  16  16  16  2  2  2 |  8   8   8   8   8   8   8  8  8  8 1 |  4  4  4  4  4  4  4  4  4  4 | 2 2 2 2 2
-----------------+-----+---------+------------------------+---------------------------------+---------------------------------------+-------------------------------+----------
. x . . . .    . |   2 | 288   * |  1  1    8   0   0   0 |  1   8   8   4   4   4  0  0  0 |  8   4   4   4   4   4   4  2  2  2 0 |  4  4  4  2  2  2  2  2  2  1 | 2 2 2 1 1
. . . . x .    . |   2 |   * 576 |  0  0    4   1   1   1 |  0   2   2   4   4   4  1  1  1 |  1   2   2   2   2   2   2  4  4  4 1 |  1  1  1  2  2  2  2  2  2  4 | 1 1 1 2 2
-----------------+-----+---------+------------------------+---------------------------------+---------------------------------------+-------------------------------+----------
o3x . . . .    . |   3 |   3   0 | 96  *    *   *   *   * |  1   8   0   0   0   0  0  0  0 |  8   4   4   4   0   0   0  0  0  0 0 |  4  4  4  2  2  2  0  0  0  0 | 2 2 2 1 0
. x3o . . .    . |   3 |   3   0 |  * 96    *   *   *   * |  1   0   8   0   0   0  0  0  0 |  8   0   0   0   4   4   4  0  0  0 0 |  4  4  4  0  0  0  2  2  2  0 | 2 2 2 0 1
. x . . x .    . |   4 |   2   2 |  *  * 1152   *   *   * |  0   1   1   1   1   1  0  0  0 |  1   1   1   1   1   1   1  1  1  1 0 |  1  1  1  1  1  1  1  1  1  1 | 1 1 1 1 1
. . . o3x .    . |   3 |   0   3 |  *  *    * 192   *   * |  0   0   0   4   0   0  1  1  0 |  0   2   0   0   2   0   0  4  4  0 1 |  1  0  0  2  2  0  2  2  0  4 | 1 1 0 2 2
. . . . x3o    . |   3 |   0   3 |  *  *    *   * 192   * |  0   0   0   0   4   0  1  0  1 |  0   0   2   0   0   2   0  4  0  4 1 |  0  1  0  2  0  2  2  0  2  4 | 1 0 1 2 2
. . . . x . *e3o |   3 |   0   3 |  *  *    *   *   * 192 |  0   0   0   0   0   4  0  1  1 |  0   0   0   2   0   0   2  0  4  4 1 |  0  0  1  0  2  2  0  2  2  4 | 0 1 1 2 2
-----------------+-----+---------+------------------------+---------------------------------+---------------------------------------+-------------------------------+----------
o3x3o . . .    .    6 |  12   0 |  4  4    0   0   0   0 | 24   *   *   *   *   *  *  *  *   8   0   0   0   0   0   0  0  0  0 0 |  4  4  4  0  0  0  0  0  0  0 | 2 2 2 0 0
o3x . . x .    .    6 |   6   3 |  2  0    3   0   0   0 |  * 384   *   *   *   *  *  *  * |  1   1   1   1   0   0   0  0  0  0 0 |  1  1  1  1  1  1  0  0  0  0 | 1 1 1 1 0
. x3o . x .    .    6 |   6   3 |  0  2    3   0   0   0 |  *   * 384   *   *   *  *  *  * |  1   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
. x . o3x .    .    6 |   3   6 |  0  0    3   2   0   0 |  *   *   * 384   *   *  *  *  * |  0   1   0   0   1   0   0  1  1  0 0 |  1  0  0  1  1  0  1  1  0  1 | 1 1 0 1 1
. x . . x3o    .    6 |   3   6 |  0  0    3   0   2   0 |  *   *   *   * 384   *  *  *  * |  0   0   1   0   0   1   0  1  0  1 0 |  0  1  0  1  0  1  1  0  1  1 | 1 0 1 1 1
. x . . x . *e3o    6 |   3   6 |  0  0    3   0   0   2 |  *   *   *   *   * 384  *  *  * |  0   0   0   1   0   0   1  0  1  1 0 |  0  0  1  0  1  1  0  1  1  1 | 0 1 1 1 1
. . . o3x3o    .    6 |   0  12 |  0  0    0   4   4   0 |  *   *   *   *   *   * 48  *  * |  0   0   0   0   0   0   0  4  0  0 1 |  0  0  0  2  0  0  2  0  0  4 | 1 0 0 2 2
. . . o3x . *e3o    6 |   0  12 |  0  0    0   4   0   4 |  *   *   *   *   *   *  * 48  * |  0   0   0   0   0   0   0  0  4  0 1 |  0  0  0  0  2  0  0  2  0  4 | 0 1 0 2 2
. . . . x3o *e3o    6 |   0  12 |  0  0    0   0   4   4 |  *   *   *   *   *   *  *  * 48 |  0   0   0   0   0   0   0  0  0  4 1 |  0  0  0  0  0  2  0  0  2  4 | 0 0 1 2 2
-----------------+-----+---------+------------------------+---------------------------------+---------------------------------------+-------------------------------+----------
o3x3o . x .    .   12 |  24   6 |  8  8   12   0   0   0 |  2   4   4   0   0   0  0  0  0 | 96   *   *   *   *   *   *  *  *  * * |  1  1  1  0  0  0  0  0  0  0 | 1 1 1 0 0
o3x . o3x .    .    9 |   9   9 |  3  0    9   3   0   0 |  0   3   0   3   0   0  0  0  0 |  * 128   *   *   *   *   *  *  *  * * |  1  0  0  1  1  0  0  0  0  0 | 1 1 0 1 0
o3x . . x3o    .    9 |   9   9 |  3  0    9   0   3   0 |  0   3   0   0   3   0  0  0  0 |  *   * 128   *   *   *   *  *  *  * * |  0  1  0  1  0  1  0  0  0  0 | 1 0 1 1 0
o3x . . x . *e3o    9 |   9   9 |  3  0    9   0   0   3 |  0   3   0   0   0   3  0  0  0 |  *   *   * 128   *   *   *  *  *  * * |  0  0  1  0  1  1  0  0  0  0 | 0 1 1 1 0
. x3o o3x .    .    9 |   9   9 |  0  3    9   3   0   0 |  0   0   3   3   0   0  0  0  0 |  *   *   *   * 128   *   *  *  *  * * |  1  0  0  0  0  0  1  1  0  0 | 1 1 0 0 1
. x3o . x3o    .    9 |   9   9 |  0  3    9   0   3   0 |  0   0   3   0   3   0  0  0  0 |  *   *   *   *   * 128   *  *  *  * * |  0  1  0  0  0  0  1  0  1  0 | 1 0 1 0 1
. x3o . x . *e3o    9 |   9   9 |  0  3    9   0   0   3 |  0   0   3   0   0   3  0  0  0 |  *   *   *   *   *   * 128  *  *  * * |  0  0  1  0  0  0  0  1  1  0 | 0 1 1 0 1
. x . o3x3o    .   12 |   6  24 |  0  0   12   8   8   0 |  0   0   0   4   4   0  2  0  0 |  *   *   *   *   *   *   * 96  *  * * |  0  0  0  1  0  0  1  0  0  1 | 1 0 0 1 1
. x . o3x . *e3o   12 |   6  24 |  0  0   12   8   0   8 |  0   0   0   4   0   4  0  2  0 |  *   *   *   *   *   *   *  * 96  * * |  0  0  0  0  1  0  0  1  0  1 | 0 1 0 1 1
. x . . x3o *e3o   12 |   6  24 |  0  0   12   0   8   8 |  0   0   0   0   4   4  0  0  2 |  *   *   *   *   *   *   *  *  * 96 * |  0  0  0  0  0  1  0  0  1  1 | 0 0 1 1 1
. . . o3x3o *e3o   24 |   0  96 |  0  0    0  32  32  32 |  0   0   0   0   0   0  8  8  8 |  *   *   *   *   *   *   *  *  *  * 6 |  0  0  0  0  0  0  0  0  0  4 | 0 0 0 2 2
-----------------+-----+---------+------------------------+---------------------------------+---------------------------------------+-------------------------------+----------
o3x3o o3x .    .   18 |  36  18 | 12 12   36   6   0   0 |  3  12  12  12   0   0  0  0  0 |  3   4   0   0   4   0   0  0  0  0 0 | 32  *  *  *  *  *  *  *  *  * | 1 1 0 0 0
o3x3o . x3o    .   18 |  36  18 | 12 12   36   0   6   0 |  3  12  12   0  12   0  0  0  0 |  3   0   4   0   0   4   0  0  0  0 0 |  * 32  *  *  *  *  *  *  *  * | 1 0 1 0 0
o3x3o . x . *e3o   18 |  36  18 | 12 12   36   0   0   6 |  3  12  12   0   0  12  0  0  0 |  3   0   0   4   0   0   4  0  0  0 0 |  *  * 32  *  *  *  *  *  *  * | 0 1 1 0 0
o3x . o3x3o    .   18 |  18  36 |  6  0   36  12  12   0 |  0  12   0  12  12   0  3  0  0 |  0   4   4   0   0   0   0  3  0  0 0 |  *  *  * 32  *  *  *  *  *  * | 1 0 0 1 0
o3x . o3x . *e3o   18 |  18  36 |  6  0   36  12   0  12 |  0  12   0  12   0  12  0  3  0 |  0   4   0   4   0   0   0  0  3  0 0 |  *  *  *  * 32  *  *  *  *  * | 0 1 0 1 0
o3x . . x3o *e3o   18 |  18  36 |  6  0   36   0  12  12 |  0  12   0   0  12  12  0  0  3 |  0   0   4   4   0   0   0  0  0  3 0 |  *  *  *  *  * 32  *  *  *  * | 0 0 1 1 0
. x3o o3x3o    .   18 |  18  36 |  0  6   36  12  12   0 |  0   0  12  12  12   0  3  0  0 |  0   0   0   0   4   4   0  3  0  0 0 |  *  *  *  *  *  * 32  *  *  * | 1 0 0 0 1
. x3o o3x . *e3o   18 |  18  36 |  0  6   36  12   0  12 |  0   0  12  12   0  12  0  3  0 |  0   0   0   0   4   0   4  0  3  0 0 |  *  *  *  *  *  *  * 32  *  * | 0 1 0 0 1
. x3o . x3o *e3o   18 |  18  36 |  0  6   36   0  12  12 |  0   0  12   0  12  12  0  0  3 |  0   0   0   0   0   4   4  0  0  3 0 |  *  *  *  *  *  *  *  * 32  * | 0 0 1 0 1
. x . o3x3o *e3o   48 |  24 192 |  0  0   96  64  64  64 |  0   0   0  32  32  32 16 16 16 |  0   0   0   0   0   0   0  8  8  8 2 |  *  *  *  *  *  *  *  *  * 12 | 0 0 0 1 1
-----------------+-----+---------+------------------------+---------------------------------+---------------------------------------+-------------------------------+----------
o3x3o o3x3o    .   36 |  72  72 | 24 24  144  24  24   0 |  6  48  48  48  48   0  6  0  0 | 12  16  16   0  16  16   0 12  0  0 0 |  4  4  0  4  0  0  4  0  0  0 | 8 * * * *
o3x3o o3x . *e3o   36 |  72  72 | 24 24  144  24   0  24 |  6  48  48  48   0  48  0  6  0 | 12  16   0  16  16   0  16  0 12  0 0 |  4  0  4  0  4  0  0  4  0  0 | * 8 * * *
o3x3o . x3o *e3o   36 |  72  72 | 24 24  144   0  24  24 |  6  48  48   0  48  48  0  0  6 | 12   0  16  16   0  16  16  0  0 12 0 |  0  4  4  0  0  4  0  0  4  0 | * * 8 * *
o3x . o3x3o *e3o   72 |  72 288 | 24  0  288  96  96  96 |  0  96   0  96  96  96 24 24 24 |  0  32  32  32   0   0   0 24 24 24 3 |  0  0  0  8  8  8  0  0  0  3 | * * * 4 *
. x3o o3x3o *e3o   72 |  72 288 |  0 24  288  96  96  96 |  0   0  96  96  96  96 24 24 24 |  0   0  0    0  32  32  32 24 24 24 3 |  0  0  0  0  0  0  8  8  8  3 | * * * * 4

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