Acronym pirghi
Name prismatorhombated great hecatonicosachoron
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: dip grid ided pip raded tigid pirghi 720 0 0 720 120 120 siphidy 0 120 120 720 0 120
& others)
External

As abstract polytope pirghi is isomorphic to quippirgashi, thereby replacing the decagons by decagrams and interchanging the roles of pentagons and pentagrams, resp. replacing the tigid by quit sissid, the dip by stiddip, and the pip by stip.

Incidence matrix according to Dynkin symbol

```x5x5/2o5x

. .   . . | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2   1   1
----------+------+----------------+--------------------------+----------------
x .   . . |    2 | 3600    *    * |    2    2    0    0    0 |   1   2   1   0
. x   . . |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. .   . x |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1   1   1
----------+------+----------------+--------------------------+----------------
x5x   . . |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x .   . x |    4 |    2    0    2 |    * 3600    *    *    * |   0   1   1   0
. x5/2o . |    5 |    0    5    0 |    *    * 1440    *    * |   1   0   0   1
. x   . x |    4 |    0    2    2 |    *    *    * 3600    * |   0   1   0   1
. .   o5x |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
----------+------+----------------+--------------------------+----------------
x5x5/2o . ♦   60 |   30   60    0 |   12    0   12    0    0 | 120   *   *   *
x5x   . x ♦   20 |   10   10   10 |    2    5    0    5    0 |   * 720   *   *
x .   o5x ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x5/2o5x ♦   60 |    0   60   60 |    0    0   12   30   12 |   *   *   * 120
```

```x5x5/3o5/4x

. .   .   . | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2   1   1
------------+------+----------------+--------------------------+----------------
x .   .   . |    2 | 3600    *    * |    2    2    0    0    0 |   1   2   1   0
. x   .   . |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. .   .   x |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1   1   1
------------+------+----------------+--------------------------+----------------
x5x   .   . |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x .   .   x |    4 |    2    0    2 |    * 3600    *    *    * |   0   1   1   0
. x5/3o   . |    5 |    0    5    0 |    *    * 1440    *    * |   1   0   0   1
. x   .   x |    4 |    0    2    2 |    *    *    * 3600    * |   0   1   0   1
. .   o5/4x |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------+------+----------------+--------------------------+----------------
x5x5/3o   . ♦   60 |   30   60    0 |   12    0   12    0    0 | 120   *   *   *
x5x   .   x ♦   20 |   10   10   10 |    2    5    0    5    0 |   * 720   *   *
x .   o5/4x ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x5/3o5/4x ♦   60 |    0   60   60 |    0    0   12   30   12 |   *   *   * 120
```