Acronym hixquathix
Name hecatonicosihexacosaquasitruncated hecatonicosihexacosachoron
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: idtid quit gissid tut hixquathix 120 120 600
)
External

As abstract polytope hixquathix is isomorphic to hixthix, thereby interchanging decagons and decagrams, respectively replacing quit gissid by tid.

Incidence matrix according to Dynkin symbol

```o3x3x5x5/3*b

. . . .      | 7200 |    2    1    1 |    1    2    2   1 |   1   1   2
-------------+------+----------------+--------------------+------------
. x . .      |    2 | 7200    *    * |    1    1    1   0 |   1   1   1
. . x .      |    2 |    * 3600    * |    0    2    0   1 |   1   0   2
. . . x      |    2 |    *    * 3600 |    0    0    2   1 |   0   1   2
-------------+------+----------------+--------------------+------------
o3x . .      |    3 |    3    0    0 | 2400    *    *   * |   1   1   0
. x3x .      |    6 |    3    3    0 |    * 2400    *   * |   1   0   1
. x . x5/3*b |   10 |    5    0    5 |    *    * 1440   * |   0   1   1
. . x5x      |   10 |    0    5    5 |    *    *    * 720 |   0   0   2
-------------+------+----------------+--------------------+------------
o3x3x .      ♦   12 |   12    6    0 |    4    4    0   0 | 600   *   *
o3x . x5/3*b ♦   60 |   60    0   30 |   20    0   12   0 |   * 120   *
. x3x5x5/3*b ♦  120 |   60   60   60 |    0   20   12  12 |   *   * 120
```

```o3/2x3x5x5/3*b

.   . . .      | 7200 |    2    1    1 |    1    2    2   1 |   1   1   2
---------------+------+----------------+--------------------+------------
.   x . .      |    2 | 7200    *    * |    1    1    1   0 |   1   1   1
.   . x .      |    2 |    * 3600    * |    0    2    0   1 |   1   0   2
.   . . x      |    2 |    *    * 3600 |    0    0    2   1 |   0   1   2
---------------+------+----------------+--------------------+------------
o3/2x . .      |    3 |    3    0    0 | 2400    *    *   * |   1   1   0
.   x3x .      |    6 |    3    3    0 |    * 2400    *   * |   1   0   1
.   x . x5/3*b |   10 |    5    0    5 |    *    * 1440   * |   0   1   1
.   . x5x      |   10 |    0    5    5 |    *    *    * 720 |   0   0   2
---------------+------+----------------+--------------------+------------
o3/2x3x .      ♦   12 |   12    6    0 |    4    4    0   0 | 600   *   *
o3/2x . x5/3*b ♦   60 |   60    0   30 |   20    0   12   0 |   * 120   *
.   x3x5x5/3*b ♦  120 |   60   60   60 |    0   20   12  12 |   *   * 120
```