Name dishecatonicosiquasitruncated dishecatonicosachoron
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: idtid quit sissid ti dahiquatady 120 120 120
)
External

As abstract polytope dahiquatady is isomorphic to dahitady, thereby replacing pentagons by pentagrams, and interchanging the roles of decagons and decagrams, respectively replacing ti by tiggy and quit sissid by tigid.

Incidence matrix according to Dynkin symbol

```o5x3x5x5/3*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
-------------+------+----------------+--------------------+------------
o5x . .      |    5 |    5    0    0 | 1440    *    *   * |   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
-------------+------+----------------+--------------------+------------
o5x3x .      ♦   60 |   60   30    0 |   12   20    0   0 | 120   *   *
o5x . x5/3*b ♦   60 |   60    0   30 |   12    0   12   0 |   * 120   *
. x3x5x5/3*b ♦  120 |   60   60   60 |    0   20   12  12 |   *   * 120
```

```o5/4x3x5x5/3*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
---------------+------+----------------+--------------------+------------
o5/4x . .      |    5 |    5    0    0 | 1440    *    *   * |   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
---------------+------+----------------+--------------------+------------
o5/4x3x .      ♦   60 |   60   30    0 |   12   20    0   0 | 120   *   *
o5/4x . x5/3*b ♦   60 |   60    0   30 |   12    0   12   0 |   * 120   *
.   x3x5x5/3*b ♦  120 |   60   60   60 |    0   20   12  12 |   *   * 120
```