Acronym caprohax
Name small celliprismatorhombated hemihexeract,
steriruncicantellated demihexeract,
pentisteriruncic hexeract
Circumradius sqrt(43)/2 = 3.278719
Coordinates (7/sqrt(8), 5/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8))     & all permutations, all even changes of sign
External
links
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Incidence matrix according to Dynkin symbol

x3o3o *b3x3x3x

o3o3o *b3o3o3o | 3840 |    3    3    1    1 |    3    3    3    3    3    3    3   1 |   1   3    3    3   3    3   3   1   3    3   3 |   1   1   1   3   3   3   3   1   1   3 |  1  1   1  3  1
---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+----------------
x . .    . . . |    2 | 5760    *    *    * |    2    1    1    1    0    0    0   0 |   1   2    2    2   1    1   1   0   0    0   0 |   1   1   1   2   2   2   1   0   0   0 |  1  1   1  2  0
. . .    x . . |    2 |    * 5760    *    * |    0    1    0    0    2    1    1   0 |   0   2    0    0   1    1   0   1   2    2   1 |   1   0   0   2   2   0   1   1   1   2 |  1  1   0  2  1
. . .    . x . |    2 |    *    * 1920    * |    0    0    3    0    0    3    0   1 |   0   0    3    0   3    0   3   0   3    0   3 |   0   1   0   3   0   3   3   1   0   3 |  1  0   1  3  1
. . .    . . x |    2 |    *    *    * 1920 |    0    0    0    3    0    0    3   1 |   0   0    0    3   0    3   3   0   0    3   3 |   0   0   1   0   3   3   3   0   1   3 |  0  1   1  3  1
---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+----------------
x3o .    . . . |    3 |    3    0    0    0 | 3840    *    *    *    *    *    *   * |   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
x . .    x . . |    4 |    2    2    0    0 |    * 2880    *    *    *    *    *   * |   0   2    0    0   1    1   0   0   0    0   0 |   1   0   0   2   2   0   1   0   0   0 |  1  1   0  2  0
x . .    . x . |    4 |    2    0    2    0 |    *    * 2880    *    *    *    *   * |   0   0    2    0   1    0   1   0   0    0   0 |   0   1   0   2   0   2   1   0   0   0 |  1  0   1  2  0
x . .    . . x |    4 |    2    0    0    2 |    *    *    * 2880    *    *    *   * |   0   0    0    2   0    1   1   0   0    0   0 |   0   0   1   0   2   2   1   0   0   0 |  0  1   1  2  0
. o . *b3x . . |    3 |    0    3    0    0 |    *    *    *    * 3840    *    *   * |   0   1    0    0   0    0   0   1   1    1   0 |   1   0   0   1   1   0   0   1   1   1 |  1  1   0  1  1
. . .    x3x . |    6 |    0    3    3    0 |    *    *    *    *    * 1920    *   * |   0   0    0    0   1    0   0   0   2    0   1 |   0   0   0   2   0   0   1   1   0   2 |  1  0   0  2  1
. . .    x . x |    4 |    0    2    0    2 |    *    *    *    *    *    * 2880   * |   0   0    0    0   0    1   0   0   0    2   1 |   0   0   0   0   2   0   1   0   1   2 |  0  1   0  2  1
. . .    . x3x |    6 |    0    0    3    3 |    *    *    *    *    *    *    * 640 |   0   0    0    0   0    0   3   0   0    0   3 |   0   0   0   0   0   3   3   0   0   3 |  0  0   1  3  1
---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+----------------
x3o3o    . . .     4 |    6    0    0    0 |    4    0    0    0    0    0    0   0 | 960   *    *    *   *    *   *   *   *    *   * |   1   1   1   0   0   0   0   0   0   0 |  1  1   1  0  0
x3o . *b3x . .    12 |   12   12    0    0 |    4    6    0    0    4    0    0   0 |   * 960    *    *   *    *   *   *   *    *   * |   1   0   0   1   1   0   0   0   0   0 |  1  1   0  1  0
x3o .    . x .     6 |    6    0    3    0 |    2    0    3    0    0    0    0   0 |   *   * 1920    *   *    *   *   *   *    *   * |   0   1   0   1   0   1   0   0   0   0 |  1  0   1  1  0
x3o .    . . x     6 |    6    0    0    3 |    2    0    0    3    0    0    0   0 |   *   *    * 1920   *    *   *   *   *    *   * |   0   0   1   0   1   1   0   0   0   0 |  0  1   1  1  0
x . .    x3x .    12 |    6    6    6    0 |    0    3    3    0    0    2    0   0 |   *   *    *    * 960    *   *   *   *    *   * |   0   0   0   2   0   0   1   0   0   0 |  1  0   0  2  0
x . .    x . x     8 |    4    4    0    4 |    0    2    0    2    0    0    2   0 |   *   *    *    *   * 1440   *   *   *    *   * |   0   0   0   0   2   0   1   0   0   0 |  0  1   0  2  0
x . .    . x3x    12 |    6    0    6    6 |    0    0    3    3    0    0    0   2 |   *   *    *    *   *    * 960   *   *    *   * |   0   0   0   0   0   2   1   0   0   0 |  0  0   1  2  0
. o3o *b3x . .     4 |    0    6    0    0 |    0    0    0    0    4    0    0   0 |   *   *    *    *   *    *   * 960   *    *   * |   1   0   0   0   0   0   0   1   1   0 |  1  1   0  0  1
. o . *b3x3x .    12 |    0   12    6    0 |    0    0    0    0    4    4    0   0 |   *   *    *    *   *    *   *   * 960    *   * |   0   0   0   1   0   0   0   1   0   1 |  1  0   0  1  1
. o . *b3x . x     6 |    0    6    0    3 |    0    0    0    0    2    0    3   0 |   *   *    *    *   *    *   *   *   * 1920   * |   0   0   0   0   1   0   0   0   1   1 |  0  1   0  1  1
. . .    x3x3x    24 |    0   12   12   12 |    0    0    0    0    0    4    6   4 |   *   *    *    *   *    *   *   *   *    * 480 |   0   0   0   0   0   0   1   0   0   2 |  0  0   0  2  1
---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+----------------
x3o3o *b3x . .    32 |   48   48    0    0 |   32   24    0    0   32    0    0   0 |   8   8    0    0   0    0   0   8   0    0   0 | 120   *   *   *   *   *   *   *   *   * |  1  1   0  0  0
x3o3o    . x .     8 |   12    0    4    0 |    8    0    6    0    0    0    0   0 |   2   0    4    0   0    0   0   0   0    0   0 |   * 480   *   *   *   *   *   *   *   * |  1  0   1  0  0
x3o3o    . . x     8 |   12    0    0    4 |    8    0    0    6    0    0    0   0 |   2   0    0    4   0    0   0   0   0    0   0 |   *   * 480   *   *   *   *   *   *   * |  0  1   1  0  0
x3o . *b3x3x .    60 |   60   60   30    0 |   20   30   30    0   20   20    0   0 |   0   5   10    0  10    0   0   0   5    0   0 |   *   *   * 192   *   *   *   *   *   * |  1  0   0  1  0
x3o . *b3x . x    24 |   24   24    0   12 |    8   12    0   12    8    0   12   0 |   0   2    0    4   0    6   0   0   0    4   0 |   *   *   *   * 480   *   *   *   *   * |  0  1   0  1  0
x3o .    . x3x    18 |   18    0    9    9 |    6    0    9    9    0    0    0   3 |   0   0    3    3   0    0   3   0   0    0   0 |   *   *   *   *   * 640   *   *   *   * |  0  0   1  1  0
x . .    x3x3x    48 |   24   24   24   24 |    0   12   12   12    0    8   12   8 |   0   0    0    0   4    6   4   0   0    0   2 |   *   *   *   *   *   * 240   *   *   * |  0  0   0  2  0
. o3o *b3x3x .    20 |    0   30   10    0 |    0    0    0    0   20   10    0   0 |   0   0    0    0   0    0   0   5   5    0   0 |   *   *   *   *   *   *   * 192   *   * |  1  0   0  0  1
. o3o *b3x . x     8 |    0   12    0    4 |    0    0    0    0    8    0    6   0 |   0   0    0    0   0    0   0   2   0    4   0 |   *   *   *   *   *   *   *   * 480   * |  0  1   0  0  1
. o . *b3x3x3x    60 |    0   60   30   30 |    0    0    0    0   20   20   30  10 |   0   0    0    0   0    0   0   0   5   10   5 |   *   *   *   *   *   *   *   *   * 192 |  0  0   0  1  1
---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+----------------
x3o3o *b3x3x .   320 |  480  480  160    0 |  320  240  240    0  320  160    0   0 |  80  80  160    0  80    0   0  80  80    0   0 |  10  40   0  16   0   0   0  16   0   0 | 12  *   *  *  *
x3o3o *b3x . x    64 |   96   96    0   32 |   64   48    0   48   64    0   48   0 |  16  16    0   32   0   24   0  16   0   32   0 |   2   0   8   0   8   0   0   0   8   0 |  * 60   *  *  *
x3o3o    . x3x    24 |   36    0   12   12 |   24    0   18   18    0    0    0   4 |   6   0   12   12   0    0   6   0   0    0   0 |   0   3   3   0   0   4   0   0   0   0 |  *  * 160  *  *
x3o . *b3x3x3x   360 |  360  360  180  180 |  120  180  180  180  120  120  180  60 |   0  30   60   60  60   90  60   0  30   60  30 |   0   0   0   6  15  20  15   0   0   6 |  *  *   * 32  *
. o3o *b3x3x3x   120 |    0  180   60   60 |    0    0    0    0  120   60   90  20 |   0   0    0    0   0    0   0  30  30   60  15 |   0   0   0   0   0   0   0   6  15   6 |  *  *   *  * 32

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