Acronym sobpoxog
Name small biprismated hexeractihexacontatetrapeton,
biruncinated hexeract,
biruncinated hexacross
Circumradius sqrt(11/2) = 2.345208
Coordinates (sqrt(2), sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
External
links
wikipedia

Incidence matrix according to Dynkin symbol

o3x3o3o3x4o

. . . . . . | 1920 |    6    6 |    3    6    24    6    3 |   3   12   2   12   12   12   2   3 |   1   6    6   6   4   6   6  1 |  2   3   3  2
------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
. x . . . . |    2 | 5760    * |    1    2     4    0    0 |   2    4   1    4    2    2   0   0 |   1   4    2   2   2   2   1  0 |  2   2   1  1
. . . . x . |    2 |    * 5760 |    0    0     4    2    1 |   0    2   0    2    4    4   1   2 |   0   1    2   2   2   2   4  1 |  1   1   2  2
------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
o3x . . . . |    3 |    3    0 | 1920    *     *    *    * |   2    4   0    0    0    0   0   0 |   1   4    2   2   0   0   0  0 |  2   2   1  0
. x3o . . . |    3 |    3    0 |    * 3840     *    *    * |   1    0   1    2    0    0   0   0 |   1   2    0   0   2   1   0  0 |  2   1   0  1
. x . . x . |    4 |    2    2 |    *    * 11520    *    * |   0    1   0    1    1    1   0   0 |   0   1    1   1   1   1   1  0 |  1   1   1  1
. . . o3x . |    3 |    0    3 |    *    *     * 3840    * |   0    0   0    0    2    0   1   1 |   0   0    1   0   2   0   2  1 |  1   0   1  2
. . . . x4o |    4 |    0    4 |    *    *     *    * 1440 |   0    0   0    0    0    4   0   2 |   0   0    0   2   0   2   4  1 |  0   1   2  2
------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
o3x3o . . .     6 |   12    0 |    4    4     0    0    0 | 960    *   *    *    *    *   *   * |   1   2    0   0   0   0   0  0 |  2   1   0  0
o3x . . x .     6 |    6    3 |    2    0     3    0    0 |   * 3840   *    *    *    *   *   * |   0   1    1   1   0   0   0  0 |  1   1   1  0
. x3o3o . .     4 |    6    0 |    0    4     0    0    0 |   *    * 960    *    *    *   *   * |   1   0    0   0   2   0   0  0 |  2   0   0  1
. x3o . x .     6 |    6    3 |    0    2     3    0    0 |   *    *   * 3840    *    *   *   * |   0   1    0   0   1   1   0  0 |  1   1   0  1
. x . o3x .     6 |    3    6 |    0    0     3    2    0 |   *    *   *    * 3840    *   *   * |   0   0    1   0   1   0   1  0 |  1   0   1  1
. x . . x4o     8 |    4    8 |    0    0     4    0    2 |   *    *   *    *    * 2880   *   * |   0   0    0   1   0   1   1  0 |  0   1   1  1
. . o3o3x .     4 |    0    6 |    0    0     0    4    0 |   *    *   *    *    *    * 960   * |   0   0    0   0   2   0   0  1 |  1   0   0  2
. . . o3x4o    12 |    0   24 |    0    0     0    8    6 |   *    *   *    *    *    *   * 480 |   0   0    0   0   0   0   2  1 |  0   0   1  2
------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
o3x3o3o . .    10 |   30    0 |   10   20     0    0    0 |   5    0   5    0    0    0   0   0 | 192   *    *   *   *   *   *  * |  2   0   0  0
o3x3o . x .    12 |   24    6 |    8    8    12    0    0 |   2    4   0    4    0    0   0   0 |   * 960    *   *   *   *   *  * |  1   1   0  0
o3x . o3x .     9 |    9    9 |    3    0     9    3    0 |   0    3   0    0    3    0   0   0 |   *   * 1280   *   *   *   *  * |  1   0   1  0
o3x . . x4o    12 |   12   12 |    4    0    12    0    3 |   0    4   0    0    0    3   0   0 |   *   *    * 960   *   *   *  * |  0   1   1  0
. x3o3o3x .    20 |   30   30 |    0   20    30   20    0 |   0    0   5   10   10    0   5   0 |   *   *    *   * 384   *   *  * |  1   0   0  1
. x3o . x4o    12 |   12   12 |    0    4    12    0    3 |   0    0   0    4    0    3   0   0 |   *   *    *   *   * 960   *  * |  0   1   0  1
. x . o3x4o    24 |   12   48 |    0    0    24   16   12 |   0    0   0    0    8    6   0   2 |   *   *    *   *   *   * 480  * |  0   0   1  1
. . o3o3x4o    32 |    0   96 |    0    0     0   64   24 |   0    0   0    0    0    0  16   8 |   *   *    *   *   *   *   * 60 |  0   0   0  2
------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
o3x3o3o3x .    60 |  180   90 |   60  120   180   60    0 |  30   60  30   60   60    0  15   0 |   6  15   20   0   6   0   0  0 | 64   *   *  *
o3x3o . x4o    24 |   48   24 |   16   16    48    0    6 |   4   16   0   16    0   12   0   0 |   0   4    0   4   0   4   0  0 |  * 240   *  *
o3x . o3x4o    36 |   36   72 |   12    0    72   24   18 |   0   24   0    0   24   18   0   3 |   0   0    8   6   0   0   3  0 |  *   * 160  *
. x3o3o3x4o   320 |  480  960 |    0  320   960  640  240 |   0    0  80  320  320  240 160  80 |   0   0    0   0  32  80  40 10 |  *   *   * 12

o3x3o3o3x4/3o

. . . . .   . | 1920 |    6    6 |    3    6    24    6    3 |   3   12   2   12   12   12   2   3 |   1   6    6   6   4   6   6  1 |  2   3   3  2
--------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
. x . . .   . |    2 | 5760    * |    1    2     4    0    0 |   2    4   1    4    2    2   0   0 |   1   4    2   2   2   2   1  0 |  2   2   1  1
. . . . x   . |    2 |    * 5760 |    0    0     4    2    1 |   0    2   0    2    4    4   1   2 |   0   1    2   2   2   2   4  1 |  1   1   2  2
--------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
o3x . . .   . |    3 |    3    0 | 1920    *     *    *    * |   2    4   0    0    0    0   0   0 |   1   4    2   2   0   0   0  0 |  2   2   1  0
. x3o . .   . |    3 |    3    0 |    * 3840     *    *    * |   1    0   1    2    0    0   0   0 |   1   2    0   0   2   1   0  0 |  2   1   0  1
. x . . x   . |    4 |    2    2 |    *    * 11520    *    * |   0    1   0    1    1    1   0   0 |   0   1    1   1   1   1   1  0 |  1   1   1  1
. . . o3x   . |    3 |    0    3 |    *    *     * 3840    * |   0    0   0    0    2    0   1   1 |   0   0    1   0   2   0   2  1 |  1   0   1  2
. . . . x4/3o |    4 |    0    4 |    *    *     *    * 1440 |   0    0   0    0    0    4   0   2 |   0   0    0   2   0   2   4  1 |  0   1   2  2
--------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
o3x3o . .   .     6 |   12    0 |    4    4     0    0    0 | 960    *   *    *    *    *   *   * |   1   2    0   0   0   0   0  0 |  2   1   0  0
o3x . . x   .     6 |    6    3 |    2    0     3    0    0 |   * 3840   *    *    *    *   *   * |   0   1    1   1   0   0   0  0 |  1   1   1  0
. x3o3o .   .     4 |    6    0 |    0    4     0    0    0 |   *    * 960    *    *    *   *   * |   1   0    0   0   2   0   0  0 |  2   0   0  1
. x3o . x   .     6 |    6    3 |    0    2     3    0    0 |   *    *   * 3840    *    *   *   * |   0   1    0   0   1   1   0  0 |  1   1   0  1
. x . o3x   .     6 |    3    6 |    0    0     3    2    0 |   *    *   *    * 3840    *   *   * |   0   0    1   0   1   0   1  0 |  1   0   1  1
. x . . x4/3o     8 |    4    8 |    0    0     4    0    2 |   *    *   *    *    * 2880   *   * |   0   0    0   1   0   1   1  0 |  0   1   1  1
. . o3o3x   .     4 |    0    6 |    0    0     0    4    0 |   *    *   *    *    *    * 960   * |   0   0    0   0   2   0   0  1 |  1   0   0  2
. . . o3x4/3o    12 |    0   24 |    0    0     0    8    6 |   *    *   *    *    *    *   * 480 |   0   0    0   0   0   0   2  1 |  0   0   1  2
--------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
o3x3o3o .   .    10 |   30    0 |   10   20     0    0    0 |   5    0   5    0    0    0   0   0 | 192   *    *   *   *   *   *  * |  2   0   0  0
o3x3o . x   .    12 |   24    6 |    8    8    12    0    0 |   2    4   0    4    0    0   0   0 |   * 960    *   *   *   *   *  * |  1   1   0  0
o3x . o3x   .     9 |    9    9 |    3    0     9    3    0 |   0    3   0    0    3    0   0   0 |   *   * 1280   *   *   *   *  * |  1   0   1  0
o3x . . x4/3o    12 |   12   12 |    4    0    12    0    3 |   0    4   0    0    0    3   0   0 |   *   *    * 960   *   *   *  * |  0   1   1  0
. x3o3o3x   .    20 |   30   30 |    0   20    30   20    0 |   0    0   5   10   10    0   5   0 |   *   *    *   * 384   *   *  * |  1   0   0  1
. x3o . x4/3o    12 |   12   12 |    0    4    12    0    3 |   0    0   0    4    0    3   0   0 |   *   *    *   *   * 960   *  * |  0   1   0  1
. x . o3x4/3o    24 |   12   48 |    0    0    24   16   12 |   0    0   0    0    8    6   0   2 |   *   *    *   *   *   * 480  * |  0   0   1  1
. . o3o3x4/3o    32 |    0   96 |    0    0     0   64   24 |   0    0   0    0    0    0  16   8 |   *   *    *   *   *   *   * 60 |  0   0   0  2
--------------+------+-----------+---------------------------+-------------------------------------+---------------------------------+--------------
o3x3o3o3x   .    60 |  180   90 |   60  120   180   60    0 |  30   60  30   60   60    0  15   0 |   6  15   20   0   6   0   0  0 | 64   *   *  *
o3x3o . x4/3o    24 |   48   24 |   16   16    48    0    6 |   4   16   0   16    0   12   0   0 |   0   4    0   4   0   4   0  0 |  * 240   *  *
o3x . o3x4/3o    36 |   36   72 |   12    0    72   24   18 |   0   24   0    0   24   18   0   3 |   0   0    8   6   0   0   3  0 |  *   * 160  *
. x3o3o3x4/3o   320 |  480  960 |    0  320   960  640  240 |   0    0  80  320  320  240 160  80 |   0   0    0   0  32  80  40 10 |  *   *   * 12

x3o3x *b3o3x3o

. . .    . . . | 1920 |    3    3    6 |    3    3   12    3   12    6    3 |   3   1    6   12    6    6   1    6   2    6    6   3 |  1   6   2   3   6   6   3   2   3   1   3 |  2   3  1   3  1
---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+-----------------
x . .    . . . |    2 | 2880    *    * |    2    1    4    0    0    0    0 |   2   1    4    4    2    2   0    0   0    0    0   0 |  1   4   2   2   2   2   1   0   0   0   0 |  2   2  1   1  0
. . x    . . . |    2 |    * 2880    * |    0    1    0    2    4    0    0 |   2   0    0    4    0    0   1    4   0    2    2   0 |  1   4   0   0   2   2   0   2   2   0   1 |  2   2  0   1  1
. . .    . x . |    2 |    *    * 5760 |    0    0    2    0    2    2    1 |   0   0    1    2    2    2   0    1   1    2    2   2 |  0   1   1   1   2   2   2   1   1   1   2 |  1   1  1   2  1
---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+-----------------
x3o .    . . . |    3 |    3    0    0 | 1920    *    *    *    *    *    * |   1   1    2    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    2    0 |    * 1440    *    *    *    *    * |   2   0    0    4    0    0   0    0   0    0    0   0 |  1   4   0   0   2   2   0   0   0   0   0 |  2   2  0   1  0
x . .    . x . |    4 |    2    0    2 |    *    * 5760    *    *    *    * |   0   0    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
. o3x    . . . |    3 |    0    3    0 |    *    *    * 1920    *    *    * |   1   0    0    0    0    0   1    2   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    2 |    *    *    *    * 5760    *    * |   0   0    0    1    0    0   0    1   0    1    1   0 |  0   1   0   0   1   1   0   1   1   0   1 |  1   1  0   1  1
. . .    o3x . |    3 |    0    0    3 |    *    *    *    *    * 3840    * |   0   0    0    0    1    0   0    0   1    1    0   1 |  0   0   1   0   1   0   1   1   0   1   1 |  1   0  1   1  1
. . .    . x3o |    3 |    0    0    3 |    *    *    *    *    *    * 1920 |   0   0    0    0    0    2   0    0   0    0    2   2 |  0   0   0   1   0   2   2   0   1   1   2 |  0   1  1   2  1
---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+-----------------
x3o3x    . . .    12 |   12   12    0 |    4    6    0    4    0    0    0 | 480   *    *    *    *    *   *    *   *    *    *   * |  1   2   0   0   0   0   0   0   0   0   0 |  2   1  0   0  0
x3o . *b3o . .     4 |    6    0    0 |    4    0    0    0    0    0    0 |   * 480    *    *    *    *   *    *   *    *    *   * |  1   0   2   0   0   0   0   0   0   0   0 |  2   0  1   0  0
x3o .    . x .     6 |    6    0    3 |    2    0    3    0    0    0    0 |   *   * 1920    *    *    *   *    *   *    *    *   * |  0   1   1   1   0   0   0   0   0   0   0 |  1   1  1   0  0
x . x    . x .     8 |    4    4    4 |    0    2    2    0    2    0    0 |   *   *    * 2880    *    *   *    *   *    *    *   * |  0   1   0   0   1   1   0   0   0   0   0 |  1   1  0   1  0
x . .    o3x .     6 |    3    0    6 |    0    0    3    0    0    2    0 |   *   *    *    * 1920    *   *    *   *    *    *   * |  0   0   1   0   1   0   1   0   0   0   0 |  1   0  1   1  0
x . .    . x3o     6 |    3    0    6 |    0    0    3    0    0    0    2 |   *   *    *    *    * 1920   *    *   *    *    *   * |  0   0   0   1   0   1   1   0   0   0   0 |  0   1  1   1  0
. o3x *b3o . .     4 |    0    6    0 |    0    0    0    4    0    0    0 |   *   *    *    *    *    * 480    *   *    *    *   * |  1   0   0   0   0   0   0   2   0   0   0 |  2   0  0   0  1
. o3x    . x .     6 |    0    6    3 |    0    0    0    2    3    0    0 |   *   *    *    *    *    *   * 1920   *    *    *   * |  0   1   0   0   0   0   0   1   1   0   0 |  1   1  0   0  1
. o . *b3o3x .     4 |    0    0    6 |    0    0    0    0    0    4    0 |   *   *    *    *    *    *   *    * 960    *    *   * |  0   0   1   0   0   0   0   1   0   1   0 |  1   0  1   0  1
. . x    o3x .     6 |    0    3    6 |    0    0    0    0    3    2    0 |   *   *    *    *    *    *   *    *   * 1920    *   * |  0   0   0   0   1   0   0   1   0   0   1 |  1   0  0   1  1
. . x    . x3o     6 |    0    3    6 |    0    0    0    0    3    0    2 |   *   *    *    *    *    *   *    *   *    * 1920   * |  0   0   0   0   0   1   0   0   1   0   1 |  0   1  0   1  1
. . .    o3x3o     6 |    0    0   12 |    0    0    0    0    0    4    4 |   *   *    *    *    *    *   *    *   *    *    * 960 |  0   0   0   0   0   0   1   0   0   1   1 |  0   0  1   1  1
---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+-----------------
x3o3x *b3o . .    32 |   48   48    0 |   32   24    0   32    0    0    0 |   8   8    0    0    0    0   8    0   0    0    0   0 | 60   *   *   *   *   *   *   *   *   *   * |  2   0  0   0  0
x3o3x    . x .    24 |   24   24   12 |    8   12   12    8   12    0    0 |   2   0    4    6    0    0   0    4   0    0    0   0 |  * 480   *   *   *   *   *   *   *   *   * |  1   1  0   0  0
x3o . *b3o3x .    20 |   30    0   30 |   20    0   30    0    0   20    0 |   0   5   10    0   10    0   0    0   5    0    0   0 |  *   * 192   *   *   *   *   *   *   *   * |  1   0  1   0  0
x3o .    . x3o     9 |    9    0    9 |    3    0    9    0    0    0    3 |   0   0    3    0    0    3   0    0   0    0    0   0 |  *   *   * 640   *   *   *   *   *   *   * |  0   1  1   0  0
x . x    o3x .    12 |    6    6   12 |    0    3    6    0    6    4    0 |   0   0    0    3    2    0   0    0   0    2    0   0 |  *   *   *   * 960   *   *   *   *   *   * |  1   0  0   1  0
x . x    . x3o    12 |    6    6   12 |    0    3    6    0    6    0    4 |   0   0    0    3    0    2   0    0   0    0    2   0 |  *   *   *   *   * 960   *   *   *   *   * |  0   1  0   1  0
x . .    o3x3o    12 |    6    0   24 |    0    0   12    0    0    8    8 |   0   0    0    0    4    4   0    0   0    0    0   2 |  *   *   *   *   *   * 480   *   *   *   * |  0   0  1   1  0
. o3x *b3o3x .    20 |    0   30   30 |    0    0    0   20   30   20    0 |   0   0    0    0    0    0   5   10   5   10    0   0 |  *   *   *   *   *   *   * 192   *   *   * |  1   0  0   0  1
. o3x    . x3o     9 |    0    9    9 |    0    0    0    3    9    0    3 |   0   0    0    0    0    0   0    3   0    0    3   0 |  *   *   *   *   *   *   *   * 640   *   * |  0   1  0   0  1
. o . *b3o3x3o    10 |    0    0   30 |    0    0    0    0    0   20   10 |   0   0    0    0    0    0   0    0   5    0    0   5 |  *   *   *   *   *   *   *   *   * 192   * |  0   0  1   0  1
. . x    o3x3o    12 |    0    6   24 |    0    0    0    0   12    8    8 |   0   0    0    0    0    0   0    0   0    4    4   2 |  *   *   *   *   *   *   *   *   *   * 480 |  0   0  0   1  1
---------------+------+----------------+------------------------------------+--------------------------------------------------------+--------------------------------------------+-----------------
x3o3x *b3o3x .   320 |  480  480  480 |  320  240  480  320  480  320    0 |  80  80  160  240  160    0  80  160  80  160    0   0 | 10  40  16   0  80   0   0  16   0   0   0 | 12   *  *   *  *
x3o3x    . x3o    36 |   36   36   36 |   12   18   36   12   36    0   12 |   3   0   12   18    0   12   0   12   0    0   12   0 |  0   3   0   4   0   6   0   0   4   0   0 |  * 160  *   *  *
x3o . *b3o3x3o    60 |   90    0  180 |   60    0  180    0    0  120   60 |   0  15   60    0   60   60   0    0  30    0    0  30 |  0   0   6  20   0   0  15   0   0   6   0 |  *   * 32   *  *
x . x    o3x3o    24 |   12   12   48 |    0    6   24    0   24   16   16 |   0   0    0   12    8    8   0    0   0    8    8   4 |  0   0   0   0   4   4   2   0   0   0   2 |  *   *  * 240  *
. o3x *b3o3x3o    60 |    0   90  180 |    0    0    0   60  180  120   60 |   0   0    0    0    0    0  15   60  30   60   60  30 |  0   0   0   0   0   0   0   6  20   6  15 |  *   *  *   * 32

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