Acronym	quiproh
Name	quasiprismatorhombated hexadecachoron
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	(is itself locally convex – uniform polychoral members: by cells: cho co oho quitco quith stop trip girpith 16 0 0 8 0 24 0 quiproh 0 16 0 0 8 24 32 giphado 0 0 16 8 8 0 32 )
Face vector	192, 480, 368, 80
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope quiproh is isomorphic to proh, thereby replacing octagrams by octagons, resp. replacing quith by tic and replacing stop by op.

Incidence matrix according to Dynkin symbol

x3o3x4/3x

. . .   . | 192 |   2   2  1 |  1  2  2  1  2 |  1  1  2 1
----------+-----+------------+----------------+-----------
x . .   . |   2 | 192   *  * |  1  1  1  0  0 |  1  1  1 0
. . x   . |   2 |   * 192  * |  0  1  0  1  1 |  1  0  1 1
. . .   x |   2 |   *   * 96 |  0  0  2  0  2 |  0  1  2 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
. . x4/3x |   8 |   0   4  4 |  *  *  *  * 48 |  0  0  1 1
----------+-----+------------+----------------+-----------
x3o3x   . ♦  12 |  12  12  0 |  4  6  0  4  0 | 16  *  * *
x3o .   x ♦   6 |   6   0  3 |  2  0  3  0  0 |  * 32  * *
x . x4/3x ♦  16 |   8   8  8 |  0  4  4  0  2 |  *  * 24 *
. o3x4/3x ♦  24 |   0  24 12 |  0  0  0  8  6 |  *  *  * 8

x3/2o3/2x4/3x

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