Acronym	siphado
Name	small prismatohexadecadisoctachoron
Cross sections	©
Circumradius	sqrt[4+2 sqrt(2)] = 2.613126
Coordinates	((1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2)   & all permutations, all changes of sign
General of army	proh
Colonel of regiment	proh
Face vector	192, 480, 336, 64
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x4x3x3o3/2*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
-------------+-----+------------+----------------+----------
x4x . .      |   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
-------------+-----+------------+----------------+----------
x4x3x .      ♦  48 | 24  24  24 |  6 12  8  0  0 | 8 *  *  *
x4x . 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

x4x3x3/2o3*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
-------------+-----+------------+----------------+----------
x4x .   .    |   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
-------------+-----+------------+----------------+----------
x4x3x   .    ♦  48 | 24  24  24 |  6 12  8  0  0 | 8 *  *  *
x4x .   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

β3o3x4x

both( . . . . ) | 192 |   2  1   2 |  1  2  1  2  2 | 1  1  1 2
----------------+-----+------------+----------------+----------
both( . . x . ) |   2 | 192  *   * |  1  1  0  1  0 | 1  1  0 1
both( . . . x ) |   2 |   * 96   * |  0  2  0  0  2 | 1  0  1 2
sefa( β3o . . ) |   2 |   *  * 192 |  0  0  1  1  1 | 0  1  1 1
----------------+-----+------------+----------------+----------
both( . o3x . ) |   3 |   3  0   0 | 64  *  *  *  * | 1  1  0 0
both( . . x4x ) |   8 |   4  4   0 |  * 48  *  *  * | 1  0  0 1
      β3o . .   ♦   3 |   0  0   3 |  *  * 64  *  * | 0  1  1 0
sefa( β3o3x . ) |   6 |   3  0   3 |  *  *  * 64  * | 0  1  0 1
sefa( β3o 2 x ) |   4 |   0  2   2 |  *  *  *  * 96 | 0  0  1 1
----------------+-----+------------+----------------+----------
both( . o3x4x ) ♦  24 |  24 12   0 |  8  6  0  0  0 | 8  *  * *
      β3o3x .   ♦  12 |  12  0  12 |  4  0  4  4  0 | * 16  * *
      β3o 2 x   ♦   6 |   0  3   6 |  0  0  2  0  3 | *  * 32 *
sefa( β3o3x4x ) ♦  48 |  24 24  24 |  0  6  0  8 12 | *  *  * 8

starting figure: x3o3x4x