Acronym sabach
Name small bicellated hexadecaexon,
bistericated octaexon
Circumradius sqrt(2) = 1.414214
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Incidence matrix according to Dynkin symbol

o3x3o3o3o3x3o

. . . . . . . | 420 |    8    8 |   4   12   48   12   4 |   6   24   8   48   48   24   8   6 |   4  24   24  12   2  16   24   24  16  24   2   4 |  1   8  12  12   8  12  4   8  12   8  1 | 2  4  6  4 2
--------------+-----+-----------+------------------------+-------------------------------------+----------------------------------------------------+------------------------------------------+-------------
. x . . . . . |   2 | 1680    * |   1    3    6    0   0 |   3    3   6   12    6    3   0   0 |   3  12    6   3   1   6    6    6   2   3   0   0 |  1   6   6   6   2   3  2   3   3   1  0 | 2  3  3  1 1
. . . . . x . |   2 |    * 1680 |   0    0    6    3   1 |   0    3   0    6   12    6   3   3 |   0   3    6   3   0   2    6    6   6  12   1   3 |  0   1   3   3   3   6  2   2   6   6  1 | 1  1  3  3 2
--------------+-----+-----------+------------------------+-------------------------------------+----------------------------------------------------+------------------------------------------+-------------
o3x . . . . . |   3 |    3    0 | 560    *    *    *   * |   3    6   0    0    0    0   0   0 |   3  12    6   3   0   0    0    0   0   0   0   0 |  1   6   6   6   2   3  0   0   0   0  0 | 2  3  3  1 0
. x3o . . . . |   3 |    3    0 |   * 1680    *    *   * |   1    0   2    4    0    0   0   0 |   2   4    0   0   1   4    2    2   0   0   0   0 |  1   4   2   2   0   0  2   2   1   0  0 | 2  2  1  0 1
. x . . . x . |   4 |    2    2 |   *    * 5040    *   * |   0    1   0    2    2    1   0   0 |   0   2    2   1   0   1    2    2   1   2   0   0 |  0   1   2   2   1   2  1   1   2   1  0 | 1  1  2  1 1
. . . . o3x . |   3 |    0    3 |   *    *    * 1680   * |   0    0   0    0    4    0   2   1 |   0   0    2   0   0   0    2    0   4   4   1   2 |  0   0   1   0   2   2  2   0   2   4  1 | 1  0  1  2 2
. . . . . x3o |   3 |    0    3 |   *    *    *    * 560 |   0    0   0    0    0    6   0   3 |   0   0    0   3   0   0    0    6   0  12   0   3 |  0   0   0   3   0   6  0   2   6   6  1 | 0  1  3  3 2
--------------+-----+-----------+------------------------+-------------------------------------+----------------------------------------------------+------------------------------------------+-------------
o3x3o . . . .    6 |   12    0 |   4    4    0    0   0 | 420    *   *    *    *    *   *   * |   2   4    0   0   0   0    0    0   0   0   0   0 |  1   4   2   2   0   0  0   0   0   0  0 | 2  2  1  0 0
o3x . . . x .    6 |    6    3 |   2    0    3    0   0 |   * 1680   *    *    *    *   *   * |   0   2    2   1   0   0    0    0   0   0   0   0 |  0   1   2   2   1   2  0   0   0   0  0 | 1  1  2  1 0
. x3o3o . . .    4 |    6    0 |   0    4    0    0   0 |   *    * 840    *    *    *   *   * |   1   0    0   0   1   2    0    0   0   0   0   0 |  1   2   0   0   0   0  2   1   0   0  0 | 2  1  0  0 1
. x3o . . x .    6 |    6    3 |   0    2    3    0   0 |   *    *   * 3360    *    *   *   * |   0   1    0   0   0   1    1    1   0   0   0   0 |  0   1   1   1   0   0  1   1   1   0  0 | 1  1  1  0 1
. x . . o3x .    6 |    3    6 |   0    0    3    2   0 |   *    *   *    * 3360    *   *   * |   0   0    1   0   0   0    1    0   1   1   0   0 |  0   0   1   0   1   1  1   0   1   1  0 | 1  0  1  1 1
. x . . . x3o    6 |    3    6 |   0    0    3    0   2 |   *    *   *    *    * 1680   *   * |   0   0    0   1   0   0    0    2   0   2   0   0 |  0   0   0   2   0   2  0   1   2   1  0 | 0  1  2  1 1
. . . o3o3x .    4 |    0    6 |   0    0    0    4   0 |   *    *   *    *    *    * 840   * |   0   0    0   0   0   0    0    0   2   0   1   1 |  0   0   0   0   1   0  2   0   0   2  1 | 1  0  0  1 2
. . . . o3x3o    6 |    0   12 |   0    0    0    4   4 |   *    *   *    *    *    *   * 420 |   0   0    0   0   0   0    0    0   0   4   0   2 |  0   0   0   0   0   2  0   0   2   4  1 | 0  0  1  2 2
--------------+-----+-----------+------------------------+-------------------------------------+----------------------------------------------------+------------------------------------------+-------------
o3x3o3o . . .   10 |   30    0 |  10   20    0    0   0 |   5    0   5    0    0    0   0   0 | 168   *    *   *   *   *    *    *   *   *   *   * |  1   2   0   0   0   0  0   0   0   0  0 | 2  1  0  0 0
o3x3o . . x .   12 |   24    6 |   8    8   12    0   0 |   2    4   0    4    0    0   0   0 |   * 840    *   *   *   *    *    *   *   *   *   * |  0   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    3   0    0    3    0   0   0 |   *   * 1120   *   *   *    *    *   *   *   *   * |  0   0   1   0   1   1  0   0   0   0  0 | 1  0  1  1 0
o3x . . . x3o    9 |    9    9 |   3    0    9    0   3 |   0    3   0    0    0    3   0   0 |   *   *    * 560   *   *    *    *   *   *   *   * |  0   0   0   2   0   2  0   0   0   0  0 | 0  1  2  1 0
. x3o3o3o . .    5 |   10    0 |   0   10    0    0   0 |   0    0   5    0    0    0   0   0 |   *   *    *   * 168   *    *    *   *   *   *   * |  1   0   0   0   0   0  2   0   0   0  0 | 2  0  0  0 1
. x3o3o . x .    8 |   12    4 |   0    8    6    0   0 |   0    0   2    4    0    0   0   0 |   *   *    *   *   * 840    *    *   *   *   *   * |  0   1   0   0   0   0  1   1   0   0  0 | 1  1  0  0 1
. x3o . o3x .    9 |    9    9 |   0    3    9    3   0 |   0    0   0    3    3    0   0   0 |   *   *    *   *   *   * 1120    *   *   *   *   * |  0   0   1   0   0   0  1   0   1   0  0 | 1  0  1  0 1
. x3o . . x3o    9 |    9    9 |   0    3    9    0   3 |   0    0   0    3    0    3   0   0 |   *   *    *   *   *   *    * 1120   *   *   *   * |  0   0   0   1   0   0  0   1   1   0  0 | 0  1  1  0 1
. x . o3o3x .    8 |    4   12 |   0    0    6    8   0 |   0    0   0    0    4    0   2   0 |   *   *    *   *   *   *    *    * 840   *   *   * |  0   0   0   0   1   0  1   0   0   1  0 | 1  0  0  1 1
. x . . o3x3o   12 |    6   24 |   0    0   12    8   8 |   0    0   0    0    4    4   0   2 |   *   *    *   *   *   *    *    *   * 840   *   * |  0   0   0   0   0   1  0   0   1   1  0 | 0  0  1  1 1
. . o3o3o3x .    5 |    0   10 |   0    0    0   10   0 |   0    0   0    0    0    0   5   0 |   *   *    *   *   *   *    *    *   *   * 168   * |  0   0   0   0   0   0  2   0   0   0  1 | 1  0  0  0 2
. . . o3o3x3o   10 |    0   30 |   0    0    0   20  10 |   0    0   0    0    0    0   5   5 |   *   *    *   *   *   *    *    *   *   *   * 168 |  0   0   0   0   0   0  0   0   0   2  1 | 0  0  0  1 2
--------------+-----+-----------+------------------------+-------------------------------------+----------------------------------------------------+------------------------------------------+-------------
o3x3o3o3o . .   15 |   60    0 |  20   60    0    0   0 |  15    0  30    0    0    0   0   0 |   6   0    0   0   6   0    0    0   0   0   0   0 | 28   *   *   *   *   *  *   *   *   *  * | 2  0  0  0 0
o3x3o3o . x .   20 |   60   10 |  20   40   30    0   0 |  10   10  10   20    0    0   0   0 |   2   5    0   0   0   5    0    0   0   0   0   0 |  * 168   *   *   *   *  *   *   *   *  * | 1  1  0  0 0
o3x3o . o3x .   18 |   36   18 |  12   12   36    6   0 |   3   12   0   12   12    0   0   0 |   0   3    4   0   0   0    4    0   0   0   0   0 |  *   * 280   *   *   *  *   *   *   *  * | 1  0  1  0 0
o3x3o . . x3o   18 |   36   18 |  12   12   36    0   6 |   3   12   0   12    0   12   0   0 |   0   3    0   4   0   0    0    4   0   0   0   0 |  *   *   * 280   *   *  *   *   *   *  * | 0  1  1  0 0
o3x . o3o3x .   12 |   12   18 |   4    0   18   12   0 |   0    6   0    0   12    0   3   0 |   0   0    4   0   0   0    0    0   3   0   0   0 |  *   *   *   * 280   *  *   *   *   *  * | 1  0  0  1 0
o3x . . o3x3o   18 |   18   36 |   6    0   36   12  12 |   0   12   0    0   12   12   0   3 |   0   0    4   4   0   0    0    0   0   3   0   0 |  *   *   *   *   * 280  *   *   *   *  * | 0  0  1  1 0
. x3o3o3o3x .   30 |   60   60 |   0   60   90   60   0 |   0    0  30   60   60    0  30   0 |   0   0    0   0   6  15   20    0  15   0   6   0 |  *   *   *   *   *   * 56   *   *   *  * | 1  0  0  0 1
. x3o3o . x3o   12 |   18   12 |   0   12   18    0   4 |   0    0   3   12    0    6   0   0 |   0   0    0   0   0   3    0    4   0   0   0   0 |  *   *   *   *   *   *  * 280   *   *  * | 0  1  0  0 1
. 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 |  *   *   *   *   *   *  *   * 280   *  * | 0  0  1  0 1
. x . o3o3x3o   20 |   10   60 |   0    0   30   40  20 |   0    0   0    0   20   10  10  10 |   0   0    0   0   0   0    0    0   5   5   0   2 |  *   *   *   *   *   *  *   *   * 168  * | 0  0  0  1 1
. . o3o3o3x3o   15 |    0   60 |   0    0    0   60  20 |   0    0   0    0    0    0  30  15 |   0   0    0   0   0   0    0    0   0   0   6   6 |  *   *   *   *   *   *  *   *   *   * 28 | 0  0  0  0 2
--------------+-----+-----------+------------------------+-------------------------------------+----------------------------------------------------+------------------------------------------+-------------
o3x3o3o3o3x .  105 |  420  210 | 140  420  630  210   0 | 105  210 210  420  420    0 105   0 |  42 105  140   0  42 105  140    0 105   0  21   0 |  7  21  35   0  35   0  7   0   0   0  0 | 8  *  *  * *
o3x3o3o . x3o   30 |   90   30 |  30   60   90    0  10 |  15   30  15   60    0   30   0   0 |   3  15    0  10   0  15    0   20   0   0   0   0 |  0   3   0   5   0   0  0   5   0   0  0 | * 56  *  * *
o3x3o . o3x3o   36 |   72   72 |  24   24  144   24  24 |   6   48   0   48   48   48   0   6 |   0  12   16  16   0   0   16   16   0  12   0   0 |  0   0   4   4   0   4  0   0   4   0  0 | *  * 70  * *
o3x . o3o3x3o   30 |   30   90 |  10    0   90   60  30 |   0   30   0    0   60   30  15  15 |   0   0   20  10   0   0    0    0  15  15   0   3 |  0   0   0   0   5   5  0   0   0   3  0 | *  *  * 56 *
. x3o3o3o3x3o  105 |  210  420 |   0  210  630  420 140 |   0    0 105  420  420  210 210 105 |   0   0    0   0  21 105  140  140 105 105  42  42 |  0   0   0   0   0   0  7  35  35  21  7 | *  *  *  * 8
or
. . . . . . .    | 420 |   16 |    8   24   48 |  12   48   16   96 |   4   48   48  12   4   32   24 |  2  16  24  24  16  4 |  4   8  6
-----------------+-----+------+----------------+--------------------+---------------------------------+-----------------------+----------
. x . . . . .  & |   2 | 3360 |    1    3    6 |   3    9    3   18 |   3   15   12   3   1    8    6 |  1   7   9   9   5  2 |  3   4  3
-----------------+-----+------+----------------+--------------------+---------------------------------+-----------------------+----------
o3x . . . . .  & |   3 |    3 | 1120    *    * |   3    6    0    0 |   3   12    6   3   0    0    0 |  1   6   6   9   2  0 |  2   4  3
. x3o . . . .  & |   3 |    3 |    * 3360    * |   1    0    2    4 |   2    4    2   0   1    4    2 |  1   4   3   2   2  2 |  3   2  1
. x . . . x .    |   4 |    4 |    *    * 5040 |   0    2    0    4 |   0    4    4   1   0    2    2 |  0   2   4   4   2  1 |  2   2  2
-----------------+-----+------+----------------+--------------------+---------------------------------+-----------------------+----------
o3x3o . . . .  &    6 |   12 |    4    4    0 | 840    *    *    * |   2    4    0   0   0    0    0 |  1   4   2   2   0  0 |  2   2  1
o3x . . . x .  &    6 |    9 |    2    0    3 |   * 3360    *    * |   0    2    2   1   0    0    0 |  0   1   2   4   1  0 |  1   2  2
. x3o3o . . .  &    4 |    6 |    0    4    0 |   *    * 1680    * |   1    0    0   0   1    2    0 |  1   2   0   0   1  2 |  3   1  0
. x3o . . x .  &    6 |    9 |    0    2    3 |   *    *    * 6720 |   0    1    1   0   0    1    1 |  0   1   2   1   1  1 |  2   1  1
-----------------+-----+------+----------------+--------------------+---------------------------------+-----------------------+----------
o3x3o3o . . .  &   10 |   30 |   10   20    0 |   5    0    5    0 | 336    *    *   *   *    *    * |  1   2   0   0   0  0 |  2   1  0
o3x3o . . x .  &   12 |   30 |    8    8   12 |   2    4    0    4 |   * 1680    *   *   *    *    * |  0   1   1   1   0  0 |  1   1  1
o3x . . o3x .  &    9 |   18 |    3    3    9 |   0    3    0    3 |   *    * 2240   *   *    *    * |  0   0   1   1   1  0 |  1   1  1
o3x . . . x3o       9 |   18 |    6    0    9 |   0    6    0    0 |   *    *    * 560   *    *    * |  0   0   0   4   0  0 |  0   2  2
. x3o3o3o . .  &    5 |   10 |    0   10    0 |   0    0    5    0 |   *    *    *   * 336    *    * |  1   0   0   0   0  2 |  3   0  0
. x3o3o . x .  &    8 |   16 |    0    8    6 |   0    0    2    4 |   *    *    *   *   * 1680    * |  0   1   0   0   1  1 |  2   1  0
. x3o . o3x .       9 |   18 |    0    6    9 |   0    0    0    6 |   *    *    *   *   *    * 1120 |  0   0   2   0   0  1 |  2   0  1
-----------------+-----+------+----------------+--------------------+---------------------------------+-----------------------+----------
o3x3o3o3o . .  &   15 |   60 |   20   60    0 |  15    0   30    0 |   6    0    0   0   6    0    0 | 56   *   *   *   *  * |  2   0  0
o3x3o3o . x .  &   20 |   70 |   20   40   30 |  10   10   10   20 |   2    5    0   0   0    5    0 |  * 336   *   *   *  * |  1   1  0
o3x3o . o3x .  &   18 |   54 |   12   18   36 |   3   12    0   24 |   0    3    4   0   0    0    4 |  *   * 560   *   *  * |  1   0  1
o3x3o . . x3o  &   18 |   54 |   18   12   36 |   3   24    0   12 |   0    3    4   4   0    0    0 |  *   *   * 560   *  * |  0   1  1
o3x . o3o3x .  &   12 |   30 |    4   12   18 |   0    6    3   12 |   0    0    4   0   0    3    0 |  *   *   *   * 560  * |  1   1  0
. x3o3o3o3x .      30 |  120 |    0  120   90 |   0    0   60  120 |   0    0    0   0  12   30   20 |  *   *   *   *   * 56 |  2   0  0
-----------------+-----+------+----------------+--------------------+---------------------------------+-----------------------+----------
o3x3o3o3o3x .  &  105 |  630 |  140  630  630 | 105  210  315  840 |  42  105  140   0  63  210  140 |  7  21  35   0  35  7 | 16   *  *
o3x3o3o . x3o  &   30 |  120 |   40   60   90 |  15   60   15   60 |   3   15   20  10   0   15    0 |  0   3   0   5   5  0 |  * 112  *
o3x3o . o3x3o      36 |  144 |   48   48  144 |  12   96    0   96 |   0   24   32  16   0    0   16 |  0   0   8   8   0  0 |  *   * 70

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