Acronym grox Name great rhombihexeract,cantitruncated hexeract Circumradius sqrt[(20+9 sqrt(2))/2] = 4.045239 Coordinates ((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2)   & all permutations, all changes of sign Externallinks

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

Incidence matrix according to Dynkin symbol

```o3o3o3x3x4x

. . . . . . | 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
. . . . x4x |    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
. . . x3x4x ♦   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
. . o3x3x4x ♦  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  *
. o3o3x3x4x ♦  640 |  960 320 320 |  640  320  480  80 |  160 160  320  40 |   0  32  80 10 |  *   * 12
```