Acronym goxaxog Name great hexeractihexeractihexacontitetrapeton Circumradius sqrt[(4-sqrt(2))/2] = 1.137055 Coordinates ((sqrt(2)-1)/2, 1/2, 1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign

As abstract polytope goxaxog is isomorphic to soxaxog, thereby replacing octagrams by octagons, resp. gocco by socco, resp. gittith by steth, and ginnont by sinnont.

Incidence matrix according to Dynkin symbol

```o3o3o3o3x4/3x4*d

. . . . .   .    | 384 |   5   5 |   10  10   5 |  10  10  10 |   5   5 10 |  1  1  5
-----------------+-----+---------+--------------+-------------+------------+---------
. . . . x   .    |   2 | 960   * |    4   0   1 |   6   0   4 |   4   0  6 |  1  0  4
. . . . .   x    |   2 |   * 960 |    0   4   1 |   0   6   4 |   0   4  6 |  0  1  4
-----------------+-----+---------+--------------+-------------+------------+---------
. . . o3x   .    |   3 |   3   0 | 1280   *   * |   3   0   1 |   3   0  3 |  1  0  3
. . . o .   x4*d |   4 |   0   4 |    * 960   * |   0   3   1 |   0   3  3 |  0  1  3
. . . . x4/3x    |   8 |   4   4 |    *   * 240 ♦   0   0   4 |   0   0  6 |  0  0  4
-----------------+-----+---------+--------------+-------------+------------+---------
. . o3o3x   .    ♦   4 |   6   0 |    4   0   0 | 960   *   * |   2   0  1 |  1  0  2
. . o3o .   x4*d ♦   8 |   0  12 |    0   6   0 |   * 480   * |   0   2  1 |  0  1  2
. . . o3x4/3x4*d ♦  24 |  24  24 |    8   6   6 |   *   * 160 |   0   0  3 |  0  0  3
-----------------+-----+---------+--------------+-------------+------------+---------
. o3o3o3x   .    ♦   5 |  10   0 |   10   0   0 |   5   0   0 | 384   *  * |  1  0  1
. o3o3o .   x4*d ♦  16 |   0  32 |    0  24   0 |   0   8   0 |   * 120  * |  0  1  1
. . o3o3x4/3x4*d ♦  64 |  96  96 |   64  48  24 |  16   8   8 |   *   * 60 |  0  0  2
-----------------+-----+---------+--------------+-------------+------------+---------
o3o3o3o3x   .    ♦   6 |  15   0 |   20   0   0 |  15   0   0 |   6   0  0 | 64  *  *
o3o3o3o .   x4*d ♦  32 |   0  80 |    0  80   0 |   0  40   0 |   0  10  0 |  * 12  *
. o3o3o3x4/3x4*d ♦ 160 | 320 320 |  320 240  80 | 160  80  40 |  32  10 10 |  *  * 12
```