Acronym iquatpic
Name icositetraquasitruncated prismatotetracontoctachoron
Cross sections
` ©`
Circumradius sqrt(8) = 2.828427
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: cotco girco hip quitco iquatpic 24 24 96 24
)
External

As abstract polytope iquatpic is automorph, thereby interchanging octagons by octagrams, and thus girco by quitco.

Incidence matrix according to Dynkin symbol

```x3x4x3x4/3*b

. . . .      | 1152 |   1   1   1   1 |   1   1   1   1   1   1 |  1  1  1  1
-------------+------+-----------------+-------------------------+------------
x . . .      |    2 | 576   *   *   * |   1   1   1   0   0   0 |  1  1  1  0
. x . .      |    2 |   * 576   *   * |   1   0   0   1   1   0 |  1  1  0  1
. . x .      |    2 |   *   * 576   * |   0   1   0   1   0   1 |  1  0  1  1
. . . x      |    2 |   *   *   * 576 |   0   0   1   0   1   1 |  0  1  1  1
-------------+------+-----------------+-------------------------+------------
x3x . .      |    6 |   3   3   0   0 | 192   *   *   *   *   * |  1  1  0  0
x . x .      |    4 |   2   0   2   0 |   * 288   *   *   *   * |  1  0  1  0
x . . x      |    4 |   2   0   0   2 |   *   * 288   *   *   * |  0  1  1  0
. x4x .      |    8 |   0   4   4   0 |   *   *   * 144   *   * |  1  0  0  1
. x . x4/3*b |    8 |   0   4   0   4 |   *   *   *   * 144   * |  0  1  0  1
. . x3x      |    6 |   0   0   3   3 |   *   *   *   *   * 192 |  0  0  1  1
-------------+------+-----------------+-------------------------+------------
x3x4x .      ♦   48 |  24  24  24   0 |   8  12   0   6   0   0 | 24  *  *  *
x3x . x4/3*b ♦   48 |  24  24   0  24 |   8   0  12   0   6   0 |  * 24  *  *
x . x3x      ♦   12 |   6   0   6   6 |   0   3   3   0   0   2 |  *  * 96  *
. x4x3x4/3*b ♦   48 |   0  24  24  24 |   0   0   0   6   6   8 |  *  *  * 24
```

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