Acronym quotox Name quasitruncated hexeract Circumradius sqrt[(8-5 sqrt(2))/2] = 0.681517 Inradiuswrt. quittin [sqrt(2)-1]/2 = 0.207107 Inradiuswrt. hix (3 sqrt(2)-5)/sqrt(12) = -0.218631 Coordinates ((sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign Volume (6300 sqrt(2)-8909)/90 = 0.0060605 Confer analogs: quasitruncated hypercube qtCn

As abstract polytope quotox is isomorphic to tox, thereby replacing octagrams by octagons, resp. quith by tic, resp. quitit by tatquitit, resp. quittin by tan.

Note that the tets, pens, and hixes become retrograde here.

Incidence matrix according to Dynkin symbol

```o3o3o3o3x4/3x

. . . . .   . | 384 |   5   1 |   10   5 |  10  10 |   5 10 |  1  5
--------------+-----+---------+----------+---------+--------+------
. . . . x   . |   2 | 960   * |    4   1 |   6   4 |   4  6 |  1  4
. . . . .   x |   2 |   * 192 ♦    0   5 |   0  10 |   0 10 |  0  5
--------------+-----+---------+----------+---------+--------+------
. . . o3x   . |   3 |   3   0 | 1280   * |   3   1 |   3  3 |  1  3
. . . . x4/3x |   8 |   4   4 |    * 240 ♦   0   4 |   0  6 |  0  4
--------------+-----+---------+----------+---------+--------+------
. . o3o3x   . ♦   4 |   6   0 |    4   0 | 960   * |   2  1 |  1  2
. . . o3x4/3x ♦  24 |  24  12 |    8   6 |   * 160 |   0  3 |  0  3
--------------+-----+---------+----------+---------+--------+------
. o3o3o3x   . ♦   5 |  10   0 |   10   0 |   5   0 | 384  * |  1  1
. . o3o3x4/3x ♦  64 |  96  32 |   64  24 |  16   8 |   * 60 |  0  2
--------------+-----+---------+----------+---------+--------+------
o3o3o3o3x   . ♦   6 |  15   0 |   20   0 |  15   0 |   6  0 | 64  *
. o3o3o3x4/3x ♦ 160 | 320  80 |  320  80 | 160  40 |  32 10 |  * 12
```