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 Externallinks

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
```