Acronym pirshi
Name prismatorhombated (small) stellated hecatonicosachoron
Circumradius sqrt[17+6 sqrt(5)] = 5.515107
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: hip ided raded stip ti toe pirshi 1200 0 120 720 120 0 sphihix 0 120 0 720 120 600
& others)
External

As abstract polytope pirshi is isomorphic to pirgaghi, thereby interchanging the roles of pentagrams and pentagons, resp. replacing ti by tiggy and replacing stip by pip.

Incidence matrix according to Dynkin symbol

```x3x5o5/2x

. . .   . | 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
----------+------+----------------+--------------------------+-----------------
x3x .   . |    6 |    3    3    0 | 2400    *    *    *    * |   1    1   0   0
x . .   x |    4 |    2    0    2 |    * 3600    *    *    * |   0    1   1   0
. x5o   . |    5 |    0    5    0 |    *    * 1440    *    * |   1    0   0   1
. x .   x |    4 |    0    2    2 |    *    *    * 3600    * |   0    1   0   1
. . o5/2x |    5 |    0    0    5 |    *    *    *    * 1440 |   0    0   1   1
----------+------+----------------+--------------------------+-----------------
x3x5o   . ♦   60 |   30   60    0 |   20    0   12    0    0 | 120    *   *   *
x3x .   x ♦   12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
x . o5/2x ♦   10 |    5    0   10 |    0    5    0    0    2 |   *    * 720   *
. x5o5/2x ♦   60 |    0   60   60 |    0    0   12   30   12 |   *    *   * 120
```

```x3x5/4o5/3x

. .   .   . | 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
------------+------+----------------+--------------------------+-----------------
x3x   .   . |    6 |    3    3    0 | 2400    *    *    *    * |   1    1   0   0
x .   .   x |    4 |    2    0    2 |    * 3600    *    *    * |   0    1   1   0
. x5/4o   . |    5 |    0    5    0 |    *    * 1440    *    * |   1    0   0   1
. x   .   x |    4 |    0    2    2 |    *    *    * 3600    * |   0    1   0   1
. .   o5/3x |    5 |    0    0    5 |    *    *    *    * 1440 |   0    0   1   1
------------+------+----------------+--------------------------+-----------------
x3x5/4o   . ♦   60 |   30   60    0 |   20    0   12    0    0 | 120    *   *   *
x3x   .   x ♦   12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
x .   o5/3x ♦   10 |    5    0   10 |    0    5    0    0    2 |   *    * 720   *
. x5/4o5/3x ♦   60 |    0   60   60 |    0    0   12   30   12 |   *    *   * 120
```

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