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)
Face vector	7200, 18000, 12480, 2160
Confer	general polytopal classes: Wythoffian polychora
External links

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

snubbed forms: β3β5o5/2x

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