Acronym	sichado
Name	small cubihexadecadisoctachoron
Cross sections	©
Circumradius	sqrt[(7+3 sqrt(2))/2] = 2.370932
Coordinates	((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army	prit
Colonel of regiment	prit
Face vector	192, 480, 320, 56
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x3x3o4/3x4*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*b |   8 |  0   4   4 |  *  *  * 48  * |  0 1  0 1
. . o4/3x    |   4 |  0   0   4 |  *  *  *  * 48 |  0 0  1 1
-------------+-----+------------+----------------+----------
x3x3o   .    ♦  12 |  6  12   0 |  4  0  4  0  0 | 16 *  * *
x3x .   x4*b ♦  48 | 24  24  24 |  8 12  0  6  0 |  * 8  * *
x . o4/3x    ♦   8 |  4   0   8 |  0  4  0  0  2 |  * * 24 *
. x3o4/3x4*b ♦  24 |  0  24  24 |  0  0  8  6  6 |  * *  * 8

x3x3/2o4x4*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*b |   8 |  0   4   4 |  *  *  * 48  * |  0 1  0 1
. .   o4x    |   4 |  0   0   4 |  *  *  *  * 48 |  0 0  1 1
-------------+-----+------------+----------------+----------
x3x3/2o .    ♦  12 |  6  12   0 |  4  0  4  0  0 | 16 *  * *
x3x   . x4*b ♦  48 | 24  24  24 |  8 12  0  6  0 |  * 8  * *
x .   o4x    ♦   8 |  4   0   8 |  0  4  0  0  2 |  * * 24 *
. x3/2o4x4*b ♦  24 |  0  24  24 |  0  0  8  6  6 |  * *  * 8