Acronym	gaquidpoth
Name	great quasidisprismatotesseractihexadecachoron
Cross sections	©
Circumradius	sqrt[8-3 sqrt(2)] = 1.938391
Coordinates	((3 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: hip quitco stop toe gaquidpoth 32 8 24 16 )
Face vector	384, 768, 464, 80
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gaquidpoth is isomorphic to gidpith, thereby replacing the octagrams by octagons, resp. replacing the quitco by girco and the stop by op.

Incidence matrix according to Dynkin symbol

x3x3x4/3x

. . .   . | 384 |   1   1   1   1 |  1  1  1  1  1  1 |  1  1  1 1
----------+-----+-----------------+-------------------+-----------
x . .   . |   2 | 192   *   *   * |  1  1  1  0  0  0 |  1  1  1 0
. x .   . |   2 |   * 192   *   * |  1  0  0  1  1  0 |  1  1  0 1
. . x   . |   2 |   *   * 192   * |  0  1  0  1  0  1 |  1  0  1 1
. . .   x |   2 |   *   *   * 192 |  0  0  1  0  1  1 |  0  1  1 1
----------+-----+-----------------+-------------------+-----------
x3x .   . |   6 |   3   3   0   0 | 64  *  *  *  *  * |  1  1  0 0
x . x   . |   4 |   2   0   2   0 |  * 96  *  *  *  * |  1  0  1 0
x . .   x |   4 |   2   0   0   2 |  *  * 96  *  *  * |  0  1  1 0
. x3x   . |   6 |   0   3   3   0 |  *  *  * 64  *  * |  1  0  0 1
. x .   x |   4 |   0   2   0   2 |  *  *  *  * 96  * |  0  1  0 1
. . x4/3x |   8 |   0   0   4   4 |  *  *  *  *  * 48 |  0  0  1 1
----------+-----+-----------------+-------------------+-----------
x3x3x   . ♦  24 |  12  12  12   0 |  4  6  0  4  0  0 | 16  *  * *
x3x .   x ♦  12 |   6   6   0   6 |  2  0  3  0  3  0 |  * 32  * *
x . x4/3x ♦  16 |   8   0   8   8 |  0  4  4  0  0  2 |  *  * 24 *
. x3x4/3x ♦  48 |   0  24  24  24 |  0  0  0  8 12  6 |  *  *  * 8