Acronym quotox
Name quasitruncated hexeract
Circumradius sqrt[(8-5 sqrt(2))/2] = 0.681517
Inradius
wrt. quittin
[sqrt(2)-1]/2 = 0.207107
Inradius
wrt. 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

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