Acronym	gikviphado
Name	great skewverted prismatohexadecadisoctachoron
Cross sections	©
Circumradius	sqrt(2) = 1.414214
Coordinates	((1+sqrt(2))/2, 1/2, 1/2, (sqrt(2)-1)/2)   & all permutations, all changes of sign
Colonel of regiment	skiviphado
Face vector	192, 576, 416, 56
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gikviphado is isomorphic to skiviphado, thereby replacing octagons by octagrams, resp. replacing the querco by sirco, socco by gocco, and op by stop. – As such gikviphado is a lieutenant.

Incidence matrix according to Dynkin symbol

x3o3x4x4/3*b

. . . .      | 192 |   2   2   2 |  1  2  2  1  1  2 |  1 1  2 1
-------------+-----+-------------+-------------------+----------
x . . .      |   2 | 192   *   * |  1  1  1  0  0  0 |  1 1  1 0
. . 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
-------------+-----+-------------+-------------------+----------
x3o . .      |   3 |   3   0   0 | 64  *  *  *  *  * |  1 1  0 0
x . x .      |   4 |   2   2   0 |  * 96  *  *  *  * |  1 0  1 0
x . . x      |   4 |   2   0   2 |  *  * 96  *  *  * |  0 1  1 0
. o3x .      |   3 |   0   3   0 |  *  *  * 64  *  * |  1 0  0 1
. o . x4/3*b |   4 |   0   0   4 |  *  *  *  * 48  * |  0 1  0 1
. . x4x      |   8 |   0   4   4 |  *  *  *  *  * 48 |  0 0  1 1
-------------+-----+-------------+-------------------+----------
x3o3x .      ♦  12 |  12  12   0 |  4  6  0  4  0  0 | 16 *  * *
x3o . x4/3*b ♦  24 |  24   0  24 |  8  0 12  0  6  0 |  * 8  * *
x . x4x      ♦  16 |   8   8   8 |  0  4  4  0  0  2 |  * * 24 *
. o3x4x4/3*b ♦  24 |   0  24  24 |  0  0  0  8  6  6 |  * *  * 8

x3/2o3/2x4x4*b

.   .   . .    | 192 |   2   2   2 |  1  2  2  1  1  2 |  1 1  2 1
---------------+-----+-------------+-------------------+----------
x   .   . .    |   2 | 192   *   * |  1  1  1  0  0  0 |  1 1  1 0
.   .   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
---------------+-----+-------------+-------------------+----------
x3/2o   . .    |   3 |   3   0   0 | 64  *  *  *  *  * |  1 1  0 0
x   .   x .    |   4 |   2   2   0 |  * 96  *  *  *  * |  1 0  1 0
x   .   . x    |   4 |   2   0   2 |  *  * 96  *  *  * |  0 1  1 0
.   o3/2x .    |   3 |   0   3   0 |  *  *  * 64  *  * |  1 0  0 1
.   o   . x4*b |   4 |   0   0   4 |  *  *  *  * 48  * |  0 1  0 1
.   .   x4x    |   8 |   0   4   4 |  *  *  *  *  * 48 |  0 0  1 1
---------------+-----+-------------+-------------------+----------
x3/2o3/2x .    ♦  12 |  12  12   0 |  4  6  0  4  0  0 | 16 *  * *
x3/2o   . x4*b ♦  24 |  24   0  24 |  8  0 12  0  6  0 |  * 8  * *
x   .   x4x    ♦  16 |   8   8   8 |  0  4  4  0  0  2 |  * * 24 *
.   o3/2x4x4*b ♦  24 |   0  24  24 |  0  0  0  8  6  6 |  * *  * 8