quotox

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
Face vector	384, 1152, 1520, 1120, 444, 76
Confer	general polytopal classes: Wythoffian polypeta analogs: quasitruncated hypercube qtC_n

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