Acronym	pirghi
Name	prismatorhombated great hecatonicosachoron
Circumradius	sqrt[13+5 sqrt(5)] = 4.917351
General of army	1/F-f3x3f5o
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)
Face vector	7200, 18000, 11520, 1680
Confer	general polytopal classes: Wythoffian polychora
External links

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