Name hecatonicosihecatonicosiquasitruncated dishecatonicosachoron
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: idtid quit gissid tid hihiquatady 120 120 120
)
External

As abstract polytope hihiquatady is automorph, thereby interchanging the roles of decagrams and decagons, respectively of tid and quit gissid.

Incidence matrix according to Dynkin symbol

```o3x5x3x5/3*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
. x5x .      |   10 |    5    5    0 |    * 1440    *    * |   1   0   1
. x . x5/3*b |   10 |    5    0    5 |    *    * 1440    * |   0   1   1
. . x3x      |    6 |    0    3    3 |    *    *    * 1200 |   0   0   2
-------------+------+----------------+---------------------+------------
o3x5x .      ♦   60 |   60   30    0 |   20   12    0    0 | 120   *   *
o3x . x5/3*b ♦   60 |   60    0   30 |   20    0   12    0 |   * 120   *
. x5x3x5/3*b ♦  120 |   60   60   60 |    0   12   12   20 |   *   * 120
```

```o3/2x5x3x5/3*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
.   x5x .      |   10 |    5    5    0 |    * 1440    *    * |   1   0   1
.   x . x5/3*b |   10 |    5    0    5 |    *    * 1440    * |   0   1   1
.   . x3x      |    6 |    0    3    3 |    *    *    * 1200 |   0   0   2
---------------+------+----------------+---------------------+------------
o3/2x5x .      ♦   60 |   60   30    0 |   20   12    0    0 | 120   *   *
o3/2x . x5/3*b ♦   60 |   60    0   30 |   20    0   12    0 |   * 120   *
.   x5x3x5/3*b ♦  120 |   60   60   60 |    0   12   12   20 |   *   * 120
```