Acronym quotox
Name quasitruncated hexeract
Circumradius sqrt[(8-5 sqrt(2))/2] = 0.681517
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

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.


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

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