Acronym setitdin Name small tesseractitriacontidiadispenteract Circumradius sqrt[15+6 sqrt(2)]/2 = 2.423081 Coordinates ((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign Colonel of regiment cappin

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

Incidence matrix according to Dynkin symbol

```x3x3o3o *b4x4/3*c

. . . .    .      | 640 |   1   3   3 |   3   3   3   3   3 |   3  3   3   1  3  1 |  1  3  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x . . .    .      |   2 | 320   *   * |   3   3   0   0   0 |   3  3   3   0  0  0 |  1  3  1  0
. x . .    .      |   2 |   * 960   * |   1   0   2   1   0 |   2  1   0   1  2  0 |  1  2  0  1
. . . .    x      |   2 |   *   * 960 |   0   1   0   1   2 |   0  1   2   0  2  1 |  0  2  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x3x . .    .      |   6 |   3   3   0 | 320   *   *   *   * |   2  1   0   0  0  0 |  1  2  0  0
x . . .    x      |   4 |   2   0   2 |   * 480   *   *   * |   0  1   2   0  0  0 |  0  2  1  0
. x3o .    .      |   3 |   0   3   0 |   *   * 640   *   * |   1  0   0   1  1  0 |  1  1  0  1
. x . . *b4x      |   8 |   0   4   4 |   *   *   * 240   * |   0  1   0   0  2  0 |  0  2  0  1
. . o .    x4/3*c |   4 |   0   0   4 |   *   *   *   * 480 |   0  0   1   0  1  1 |  0  1  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x3x3o .    .      ♦  12 |   6  12   0 |   4   0   4   0   0 | 160  *   *   *  *  * |  1  1  0  0
x3x . . *b4x      ♦  48 |  24  24  24 |   8  12   0   6   0 |   * 40   *   *  *  * |  0  2  0  0
x . o .    x4/3*c ♦   8 |   4   0   8 |   0   4   0   0   2 |   *  * 240   *  *  * |  0  1  1  0
. x3o3o    .      ♦   4 |   0   6   0 |   0   0   4   0   0 |   *  *   * 160  *  * |  1  0  0  1
. x3o . *b4x4/3*c ♦  24 |   0  24  24 |   0   0   8   6   6 |   *  *   *   * 80  * |  0  1  0  1
. . o3o    x4/3*c ♦   8 |   0   0  12 |   0   0   0   0   6 |   *  *   *   *  * 80 |  0  0  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x3x3o3o    .      ♦  20 |  10  30   0 |  10   0  20   0   0 |   5  0   0   5  0  0 | 32  *  *  *
x3x3o . *b4x4/3*c ♦ 192 |  96 192 192 |  64  96  64  48  48 |  16  8  24   0  8  0 |  * 10  *  *
x . o3o    x4/3*c ♦  16 |   8   0  24 |   0  12   0   0  12 |   0  0   6   0  0  2 |  *  * 40  *
. x3o3o *b4x4/3*c ♦  64 |   0  96  96 |   0   0  64  24  48 |   0   0  0  16  8  8 |  *  *  * 10
```