Acronym	gaqrit
Name	great quasirhombated tesseract
Cross sections	©
Circumradius	sqrt[(11-5 sqrt(2))/2] = 1.401594
Coordinates	((2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: quitco tut trip gaqrit 8 16 32 )
Face vector	192, 384, 248, 56
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gaqrit is isomorphic to grit, thereby replacing the octagrams by octagons, resp. replacing quitco by girco.

Incidence matrix according to Dynkin symbol

o3x3x4/3x

. . .   . | 192 |   2  1  1 |  1  2  2  1 |  1  1 2
----------+-----+-----------+-------------+--------
. x .   . |   2 | 192  *  * |  1  1  1  0 |  1  1 1
. . x   . |   2 |   * 96  * |  0  2  0  1 |  1  0 2
. . .   x |   2 |   *  * 96 |  0  0  2  1 |  0  1 2
----------+-----+-----------+-------------+--------
o3x .   . |   3 |   3  0  0 | 64  *  *  * |  1  1 0
. x3x   . |   6 |   3  3  0 |  * 64  *  * |  1  0 1
. x .   x |   4 |   2  0  2 |  *  * 96  * |  0  1 1
. . x4/3x |   8 |   0  4  4 |  *  *  * 24 |  0  0 2
----------+-----+-----------+-------------+--------
o3x3x   . ♦  12 |  12  6  0 |  4  4  0  0 | 16  * *
o3x .   x ♦   6 |   6  0  3 |  2  0  3  0 |  * 32 *
. x3x4/3x ♦  48 |  24 24 24 |  0  8 12  6 |  *  * 8

o3/2x3x4/3x

.   . .   . | 192 |   2  1  1 |  1  2  2  1 |  1  1 2
------------+-----+-----------+-------------+--------
.   x .   . |   2 | 192  *  * |  1  1  1  0 |  1  1 1
.   . x   . |   2 |   * 96  * |  0  2  0  1 |  1  0 2
.   . .   x |   2 |   *  * 96 |  0  0  2  1 |  0  1 2
------------+-----+-----------+-------------+--------
o3/2x .   . |   3 |   3  0  0 | 64  *  *  * |  1  1 0
.   x3x   . |   6 |   3  3  0 |  * 64  *  * |  1  0 1
.   x .   x |   4 |   2  0  2 |  *  * 96  * |  0  1 1
.   . x4/3x |   8 |   0  4  4 |  *  *  * 24 |  0  0 2
------------+-----+-----------+-------------+--------
o3/2x3x   . ♦  12 |  12  6  0 |  4  4  0  0 | 16  * *
o3/2x .   x ♦   6 |   6  0  3 |  2  0  3  0 |  * 32 *
.   x3x4/3x ♦  48 |  24 24 24 |  0  8 12  6 |  *  * 8