Acronym iquatoc
Name icositetraquasitruncated tetracontoctachoron
Cross sections
` ©`
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: cotco quith tic iquatoc 24 24 24
)
External

As abstract polytope iquatoc is automorph, thereby interchanging the roles of octagons and octagrams, resp. those of tic and quith.

Incidence matrix according to Dynkin symbol

```o3x4x3x4/3*b

. . . .      | 576 |   2   1   1 |   1   2   2  1 |  1  1  2
-------------+-----+-------------+----------------+---------
. x . .      |   2 | 576   *   * |   1   1   1  0 |  1  1  1
. . x .      |   2 |   * 288   * |   0   2   0  1 |  1  0  2
. . . x      |   2 |   *   * 288 |   0   0   2  1 |  0  1  2
-------------+-----+-------------+----------------+---------
o3x . .      |   3 |   3   0   0 | 192   *   *  * |  1  1  0
. x4x .      |   8 |   4   4   0 |   * 144   *  * |  1  0  1
. x . x4/3*b |   8 |   4   0   4 |   *   * 144  * |  0  1  1
. . x3x      |   6 |   0   3   3 |   *   *   * 96 |  0  0  2
-------------+-----+-------------+----------------+---------
o3x4x .      ♦  24 |  24  12   0 |   8   6   0  0 | 24  *  *
o3x . x4/3*b ♦  24 |  24   0  12 |   8   0   6  0 |  * 24  *
. x4x3x4/3*b ♦  48 |  24  24  24 |   0   6   6  8 |  *  * 24
```

```o3/2x4x3x4/3*b

.   . . .      | 576 |   2   1   1 |   1   2   2  1 |  1  1  2
---------------+-----+-------------+----------------+---------
.   x . .      |   2 | 576   *   * |   1   1   1  0 |  1  1  1
.   . x .      |   2 |   * 288   * |   0   2   0  1 |  1  0  2
.   . . x      |   2 |   *   * 288 |   0   0   2  1 |  0  1  2
---------------+-----+-------------+----------------+---------
o3/2x . .      |   3 |   3   0   0 | 192   *   *  * |  1  1  0
.   x4x .      |   8 |   4   4   0 |   * 144   *  * |  1  0  1
.   x . x4/3*b |   8 |   4   0   4 |   *   * 144  * |  0  1  1
.   . x3x      |   6 |   0   3   3 |   *   *   * 96 |  0  0  2
---------------+-----+-------------+----------------+---------
o3/2x4x .      ♦  24 |  24  12   0 |   8   6   0  0 | 24  *  *
o3/2x . x4/3*b ♦  24 |  24   0  12 |   8   0   6  0 |  * 24  *
.   x4x3x4/3*b ♦  48 |  24  24  24 |   0   6   6  8 |  *  * 24
```