Acronym gaqrox Name great quasirhombihexeract Circumradius sqrt[(20-9 sqrt(2))/2] = 1.906840 Coordinates ((2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign

As abstract polyteron gaqrox is isomorph to grox, thereby replacing octagrams by octagons, resp. quitco by girco, resp. gaqrit by grit, resp. gaqrin by girn.

Incidence matrix according to Dynkin symbol

```o3o3o3x3x4/3x

. . . . .   . | 1920 |    4   1   1 |    6    4    4   1 |    4   6    6   4 |   1   4   4  6 |  1   1  4
--------------+------+--------------+--------------------+-------------------+----------------+----------
. . . x .   . |    2 | 3840   *   * |    3    1    1   0 |    3   3    3   1 |   1   3   3  3 |  1   1  3
. . . . x   . |    2 |    * 960   * |    0    4    0   1 |    0   6    0   4 |   0   4   0  6 |  1   0  4
. . . . .   x |    2 |    *   * 960 |    0    0    4   1 |    0   0    6   4 |   0   0   4  6 |  0   1  4
--------------+------+--------------+--------------------+-------------------+----------------+----------
. . o3x .   . |    3 |    3   0   0 | 3840    *    *   * |    2   1    1   0 |   1   2   2  1 |  1   1  2
. . . x3x   . |    6 |    3   3   0 |    * 1280    *   * |    0   3    0   1 |   0   3   0  3 |  1   0  3
. . . x .   x |    4 |    2   0   2 |    *    * 1920   * |    0   0    3   1 |   0   0   3  3 |  0   1  3
. . . . x4/3x |    8 |    0   4   4 |    *    *    * 240 ♦    0   0    0   4 |   0   0   0  6 |  0   0  4
--------------+------+--------------+--------------------+-------------------+----------------+----------
. o3o3x .   . ♦    4 |    6   0   0 |    4    0    0   0 | 1920   *    *   * |   1   1   1  0 |  1   1  1
. . o3x3x   . ♦   12 |   12   6   0 |    4    4    0   0 |    * 960    *   * |   0   2   0  1 |  1   0  2
. . o3x .   x ♦    6 |    6   0   3 |    2    0    3   0 |    *   * 1920   * |   0   0   2  1 |  0   1  2
. . . x3x4/3x ♦   48 |   24  24  24 |    0    8   12   6 |    *   *    * 160 |   0   0   0  3 |  0   0  3
--------------+------+--------------+--------------------+-------------------+----------------+----------
o3o3o3x .   . ♦    5 |   10   0   0 |   10    0    0   0 |    5   0    0   0 | 384   *   *  * |  1   1  0
. o3o3x3x   . ♦   20 |   30  10   0 |   20   10    0   0 |    5   5    0   0 |   * 384   *  * |  1   0  1
. o3o3x .   x ♦    8 |   12   0   4 |    8    0    6   0 |    2   0    4   0 |   *   * 960  * |  0   1  1
. . o3x3x4/3x ♦  192 |  192  96  96 |   64   64   96  24 |    0  16   32   8 |   *   *   * 60 |  0   0  2
--------------+------+--------------+--------------------+-------------------+----------------+----------
o3o3o3x3x   . ♦   30 |   60  15   0 |   60   20    0   0 |   30  15    0   0 |   6   6   0  0 | 64   *  *
o3o3o3x .   x ♦   10 |   20   0   5 |   20    0   10   0 |   10   0   10   0 |   2   0   5  0 |  * 192  *
. o3o3x3x4/3x ♦  640 |  960 320 320 |  640  320  480  80 |  160 160  320  40 |   0  32  80 10 |  *   * 12
```