Acronym soxaxog Name small hexeractihexeractihexacontitetrapeton Circumradius sqrt[(4+sqrt(2))/2] = 1.645329 Coordinates ((1+sqrt(2))/2, 1/2, 1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign

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

Incidence matrix according to Dynkin symbol

```o3o3o3o3x4x4/3*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 . x4/3*d |   4 |   0   4 |    * 960   * |   0   3   1 |   0   3  3 |  0  1  3
. . . . x4x      |   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 . x4/3*d ♦   8 |   0  12 |    0   6   0 |   * 480   * |   0   2  1 |  0  1  2
. . . o3x4x4/3*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 . x4/3*d ♦  16 |   0  32 |    0  24   0 |   0   8   0 |   * 120  * |  0  1  1
. . o3o3x4x4/3*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 . x4/3*d ♦  32 |   0  80 |    0  80   0 |   0  40   0 |   0  10  0 |  * 12  *
. o3o3o3x4x4/3*d ♦ 160 | 320 320 |  320 240  80 | 160  80  40 |  32  10 10 |  *  * 12
```