Acronym	gichado
Name	great cubihexadecadisoctachoron
Cross sections	©
Circumradius	sqrt[(7-3 sqrt(2))/2] = 1.174172
Coordinates	((2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: cube gocco groh hip querco quitco tut gichado 24 8 0 0 0 8 16 paqrit 24 0 0 32 8 0 16 girpdo 0 0 8 32 0 8 0 )
Face vector	192, 480, 320, 56
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gichado is isomorphic to sichado, thereby replacing octagrams by octagons, resp. replacing the quitco by girco and gocco by socco.

Incidence matrix according to Dynkin symbol

x3x3o4x4/3*b

. . . .      | 192 |  1   2   2 |  2  2  1  2  1 |  1 2  2 1
-------------+-----+------------+----------------+----------
x . . .      |   2 | 96   *   * |  2  2  0  0  0 |  1 2  1 0
. x . .      |   2 |  * 192   * |  1  0  1  1  0 |  1 1  0 1
. . . x      |   2 |  *   * 192 |  0  1  0  1  1 |  0 1  1 1
-------------+-----+------------+----------------+----------
x3x . .      |   6 |  3   3   0 | 64  *  *  *  * |  1 1  0 0
x . . x      |   4 |  2   0   2 |  * 96  *  *  * |  0 1  1 0
. x3o .      |   3 |  0   3   0 |  *  * 64  *  * |  1 0  0 1
. x . x4/3*b |   8 |  0   4   4 |  *  *  * 48  * |  0 1  0 1
. . o4x      |   4 |  0   0   4 |  *  *  *  * 48 |  0 0  1 1
-------------+-----+------------+----------------+----------
x3x3o .      ♦  12 |  6  12   0 |  4  0  4  0  0 | 16 *  * *
x3x . x4/3*b ♦  48 | 24  24  24 |  8 12  0  6  0 |  * 8  * *
x . o4x      ♦   8 |  4   0   8 |  0  4  0  0  2 |  * * 24 *
. x3o4x4/3*b ♦  24 |  0  24  24 |  0  0  8  6  6 |  * *  * 8

x3x3/2o4/3x4/3*b

. .   .   .      | 192 |  1   2   2 |  2  2  1  2  1 |  1 2  2 1
-----------------+-----+------------+----------------+----------
x .   .   .      |   2 | 96   *   * |  2  2  0  0  0 |  1 2  1 0
. x   .   .      |   2 |  * 192   * |  1  0  1  1  0 |  1 1  0 1
. .   .   x      |   2 |  *   * 192 |  0  1  0  1  1 |  0 1  1 1
-----------------+-----+------------+----------------+----------
x3x   .   .      |   6 |  3   3   0 | 64  *  *  *  * |  1 1  0 0
x .   .   x      |   4 |  2   0   2 |  * 96  *  *  * |  0 1  1 0
. x3/2o   .      |   3 |  0   3   0 |  *  * 64  *  * |  1 0  0 1
. x   .   x4/3*b |   8 |  0   4   4 |  *  *  * 48  * |  0 1  0 1
. .   o4/3x      |   4 |  0   0   4 |  *  *  *  * 48 |  0 0  1 1
-----------------+-----+------------+----------------+----------
x3x3/2o   .      ♦  12 |  6  12   0 |  4  0  4  0  0 | 16 *  * *
x3x   .   x4/3*b ♦  48 | 24  24  24 |  8 12  0  6  0 |  * 8  * *
x .   o4/3x      ♦   8 |  4   0   8 |  0  4  0  0  2 |  * * 24 *
. x3/2o4/3x4/3*b ♦  24 |  0  24  24 |  0  0  8  6  6 |  * *  * 8