Acronym	giphado
Name	great prismatohexadecadisoctachoron
Cross sections	©
Circumradius	sqrt[4-2 sqrt(2)] = 1.082392
Coordinates	((2 sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment	quiproh
Face vector	192, 480, 336, 64
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polychoron giphado is isomorphic to siphado, thereby replacing octagrams by octagons, resp. quith by tic and quitco by girco.

Incidence matrix according to Dynkin symbol

x4/3x3x3o3/2*b

.   . . .      | 192 |  1   2   2 |  2  2  2  1  1 | 2 1  1  1
---------------+-----+------------+----------------+----------
x   . . .      |   2 | 96   *   * |  2  2  0  0  0 | 2 1  1  0
.   x . .      |   2 |  * 192   * |  1  0  1  1  0 | 1 1  0  1
.   . x .      |   2 |  *   * 192 |  0  1  1  0  1 | 1 0  1  1
---------------+-----+------------+----------------+----------
x4/3x . .      |   8 |  4   4   0 | 48  *  *  *  * | 1 1  0  0
x   . x .      |   4 |  2   0   2 |  * 96  *  *  * | 1 0  1  0
.   x3x .      |   6 |  0   3   3 |  *  * 64  *  * | 1 0  0  1
.   x . o3/2*b |   3 |  0   3   0 |  *  *  * 64  * | 0 1  0  1
.   . x3o      |   3 |  0   0   3 |  *  *  *  * 64 | 0 0  1  1
---------------+-----+------------+----------------+----------
x4/3x3x .      ♦  48 | 24  24  24 |  6 12  8  0  0 | 8 *  *  *
x4/3x . o3/2*b ♦  24 | 12  24   0 |  6  0  0  8  0 | * 8  *  *
x   . x3o      ♦   6 |  3   0   6 |  0  3  0  0  2 | * * 32  *
.   x3x3o3/2*b ♦  12 |  0  12  12 |  0  0  4  4  4 | * *  * 16

x4/3x3x3/2o3*b

.   . .   .    | 192 |  1   2   2 |  2  2  2  1  1 | 2 1  1  1
---------------+-----+------------+----------------+----------
x   . .   .    |   2 | 96   *   * |  2  2  0  0  0 | 2 1  1  0
.   x .   .    |   2 |  * 192   * |  1  0  1  1  0 | 1 1  0  1
.   . x   .    |   2 |  *   * 192 |  0  1  1  0  1 | 1 0  1  1
---------------+-----+------------+----------------+----------
x4/3x .   .    |   8 |  4   4   0 | 48  *  *  *  * | 1 1  0  0
x   . x   .    |   4 |  2   0   2 |  * 96  *  *  * | 1 0  1  0
.   x3x   .    |   6 |  0   3   3 |  *  * 64  *  * | 1 0  0  1
.   x .   o3*b |   3 |  0   3   0 |  *  *  * 64  * | 0 1  0  1
.   . x3/2o    |   3 |  0   0   3 |  *  *  *  * 64 | 0 0  1  1
---------------+-----+------------+----------------+----------
x4/3x3x   .    ♦  48 | 24  24  24 |  6 12  8  0  0 | 8 *  *  *
x4/3x .   o3*b ♦  24 | 12  24   0 |  6  0  0  8  0 | * 8  *  *
x   . x3/2o    ♦   6 |  3   0   6 |  0  3  0  0  2 | * * 32  *
.   x3x3/2o3*b ♦  12 |  0  12  12 |  0  0  4  4  4 | * *  * 16