Acronym	pirgaghi
Name	prismatorhombated great grand hecatonicosachoron
Circumradius	sqrt[17-6 sqrt(5)] = 1.893038
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: hip ided pip raded tiggy toe pirgaghi 1200 0 720 720 120 0 giphihix 0 120 720 0 120 600 & others)
Face vector	7200, 18000, 12480, 2160
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x3x5/2o5x

. .   . . | 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
----------+------+----------------+--------------------------+-----------------
x3x   . . |    6 |    3    3    0 | 2400    *    *    *    * |   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
----------+------+----------------+--------------------------+-----------------
x3x5/2o . ♦   60 |   30   60    0 |   20    0   12    0    0 | 120    *   *   *
x3x   . x ♦   12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
x .   o5x ♦   10 |    5    0   10 |    0    5    0    0    2 |   *    * 720   *
. x5/2o5x ♦   60 |    0   60   60 |    0    0   12   30   12 |   *    *   * 120

x3x5/3o5/4x

. .   .   . | 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
------------+------+----------------+--------------------------+-----------------
x3x   .   . |    6 |    3    3    0 | 2400    *    *    *    * |   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
------------+------+----------------+--------------------------+-----------------
x3x5/3o   . ♦   60 |   30   60    0 |   20    0   12    0    0 | 120    *   *   *
x3x   .   x ♦   12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
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