Acronym copox
Name celliprismated hexeract,
steriruncinated hexeract
Circumradius sqrt[(12+5 sqrt(2))/2] = 3.087966
Coordinates ((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
External
links
wikipedia

Incidence matrix according to Dynkin symbol

o3x3x3o3o4x

. . . . . . | 3840 |    2    3    3 |    1    6    6    3    6    3 |   3    3    6   12    6   1    3    3   1 |   3   6   3   2   6   6   2  1 |  1   3   3   1  2
------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------
. x . . . . |    2 | 3840    *    * |    1    3    3    0    0    0 |   3    3    3    6    3   0    0    0   0 |   3   6   3   1   3   3   1  0 |  1   3   3   1  1
. . x . . . |    2 |    * 5760    * |    0    2    0    2    2    0 |   1    0    4    4    0   1    2    1   0 |   2   2   0   2   4   2   0  1 |  1   2   1   0  2
. . . . . x |    2 |    *    * 5760 |    0    0    2    0    2    2 |   0    1    0    4    4   0    1    2   1 |   0   2   2   0   2   4   2  1 |  0   1   2   1  2
------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------
o3x . . . . |    3 |    3    0    0 | 1280    *    *    *    *    * |   3    3    0    0    0   0    0    0   0 |   3   6   3   0   0   0   0  0 |  1   3   3   1  0
. x3x . . . |    6 |    3    3    0 |    * 3840    *    *    *    * |   1    0    2    2    0   0    0    0   0 |   2   2   0   1   2   1   0  0 |  1   2   1   0  1
. x . . . x |    4 |    2    0    2 |    *    * 5760    *    *    * |   0    1    0    2    2   0    0    0   0 |   0   2   2   0   1   2   1  0 |  0   1   2   1  1
. . x3o . . |    3 |    0    3    0 |    *    *    * 3840    *    * |   0    0    2    0    0   1    1    0   0 |   1   0   0   2   2   0   0  1 |  1   1   0   0  2
. . x . . x |    4 |    0    2    2 |    *    *    *    * 5760    * |   0    0    0    2    0   0    1    1   0 |   0   1   0   0   2   2   0  1 |  0   1   1   0  2
. . . . o4x |    4 |    0    0    4 |    *    *    *    *    * 2880 |   0    0    0    0    2   0    0    1   1 |   0   0   1   0   0   2   2  1 |  0   0   1   1  2
------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------
o3x3x . . .    12 |   12    6    0 |    4    4    0    0    0    0 | 960    *    *    *    *   *    *    *   * |   2   2   0   0   0   0   0  0 |  1   2   1   0  0
o3x . . . x     6 |    6    0    3 |    2    0    3    0    0    0 |   * 1920    *    *    *   *    *    *   * |   0   2   2   0   0   0   0  0 |  0   1   2   1  0
. x3x3o . .    12 |    6   12    0 |    0    4    0    4    0    0 |   *    * 1920    *    *   *    *    *   * |   1   0   0   1   1   0   0  0 |  1   1   0   0  1
. x3x . . x    12 |    6    6    6 |    0    2    3    0    3    0 |   *    *    * 3840    *   *    *    *   * |   0   1   0   0   1   1   0  0 |  0   1   1   0  1
. x . . o4x     8 |    4    0    8 |    0    0    4    0    0    2 |   *    *    *    * 2880   *    *    *   * |   0   0   1   0   0   1   1  0 |  0   0   1   1  1
. . x3o3o .     4 |    0    6    0 |    0    0    0    4    0    0 |   *    *    *    *    * 960    *    *   * |   0   0   0   2   0   0   0  1 |  1   0   0   0  2
. . x3o . x     6 |    0    6    3 |    0    0    0    2    3    0 |   *    *    *    *    *   * 1920    *   * |   0   0   0   0   2   0   0  1 |  0   1   0   0  2
. . x . o4x     8 |    0    4    8 |    0    0    0    0    4    2 |   *    *    *    *    *   *    * 1440   * |   0   0   0   0   0   2   0  1 |  0   0   1   0  2
. . . o3o4x     8 |    0    0   12 |    0    0    0    0    0    6 |   *    *    *    *    *   *    *    * 480 |   0   0   0   0   0   0   2  1 |  0   0   0   1  2
------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------
o3x3x3o . .    30 |   30   30    0 |   10   20    0   10    0    0 |   5    0    5    0    0   0    0    0   0 | 384   *   *   *   *   *   *  * |  1   1   0   0  0
o3x3x . . x    24 |   24   12   12 |    8    8   12    0    6    0 |   2    4    0    4    0   0    0    0   0 |   * 960   *   *   *   *   *  * |  0   1   1   0  0
o3x . . o4x    12 |   12    0   12 |    4    0   12    0    0    3 |   0    4    0    0    3   0    0    0   0 |   *   * 960   *   *   *   *  * |  0   0   1   1  0
. x3x3o3o .    20 |   10   30    0 |    0   10    0   20    0    0 |   0    0    5    0    0   5    0    0   0 |   *   *   * 384   *   *   *  * |  1   0   0   0  1
. x3x3o . x    24 |   12   24   12 |    0    8    6    8   12    0 |   0    0    2    4    0   0    4    0   0 |   *   *   *   * 960   *   *  * |  0   1   0   0  1
. x3x . o4x    24 |   12   12   24 |    0    4   12    0   12    6 |   0    0    0    4    3   0    0    3   0 |   *   *   *   *   * 960   *  * |  0   0   1   0  1
. x . o3o4x    16 |    8    0   24 |    0    0   12    0    0   12 |   0    0    0    0    6   0    0    0   2 |   *   *   *   *   *   * 480  * |  0   0   0   1  1
. . x3o3o4x    64 |    0   96   96 |    0    0    0   64   96   48 |   0    0    0    0    0  16   32   24   8 |   *   *   *   *   *   *   * 60 |  0   0   0   0  2
------------+------+----------------+-------------------------------+-------------------------------------------+--------------------------------+------------------
o3x3x3o3o .    60 |   60   90    0 |   20   60    0   60    0    0 |  15    0   30    0    0  15    0    0   0 |   6   0   0   6   0   0   0  0 | 64   *   *   *  *
o3x3x3o . x    60 |   60   60   30 |   20   40   30   20   30    0 |  10   10   10   20    0   0   10    0   0 |   2   5   0   0   5   0   0  0 |  * 192   *   *  *
o3x3x . o4x    48 |   48   24   48 |   16   16   48    0   24   12 |   4   16    0   16   12   0    0    6   0 |   0   4   4   0   0   4   0  0 |  *   * 240   *  *
o3x . o3o4x    24 |   24    0   36 |    8    0   36    0    0   18 |   0   12    0    0   18   0    0    0   3 |   0   0   6   0   0   0   3  0 |  *   *   * 160  *
. x3x3o3o4x   640 |  320  960  960 |    0  320  480  640  960  480 |   0    0  160  320  240 160  320  240  80 |   0   0   0  32  80  80  40 10 |  *   *   *   * 12

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