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 81632
)
External
links
hedrondude   polytopewiki   WikiChoron  

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

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