Acronym	sirgashi
Name	small rhombated grand stellated hecatonicosachoron
Circumradius	sqrt[7-2 sqrt(5)] = 1.589926
General of army	srahi
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: did ided raded stip tiggy grawv hidy 120 120 0 0 120 sirgashi 120 0 120 720 0 & others)
Face vector	3600, 10800, 7200, 960
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope sirgashi is isomorphic to sirghi, thereby interchanging pentagrams and pentagons, resp. replacing stip by pip.

Incidence matrix according to Dynkin symbol

x5/2o5x5/2o
  
.   . .   . | 3600 |    2    4 |   1    4    2    2 |   2   2   1
------------+------+-----------+--------------------+------------
x   . .   . |    2 | 3600    * |   1    2    0    0 |   2   1   0
.   . x   . |    2 |    * 7200 |   0    1    1    1 |   1   1   1
------------+------+-----------+--------------------+------------
x5/2o .   . |    5 |    5    0 | 720    *    *    * |   2   0   0
x   . x   . |    4 |    2    2 |   * 3600    *    * |   1   1   0
.   o5x   . |    5 |    0    5 |   *    * 1440    * |   1   0   1
.   . x5/2o |    5 |    0    5 |   *    *    * 1440 |   0   1   1
------------+------+-----------+--------------------+------------
x5/2o5x   . ♦   60 |   60   60 |  12   30   12    0 | 120   *   *
x   . x5/2o ♦   10 |    5   10 |   0    5    0    2 |   * 720   *
.   o5x5/2o ♦   30 |    0   60 |   0    0   12   12 |   *   * 120

x5/2o5x5/3o
  
.   . .   . | 3600 |    2    4 |   1    4    2    2 |   2   2   1
------------+------+-----------+--------------------+------------
x   . .   . |    2 | 3600    * |   1    2    0    0 |   2   1   0
.   . x   . |    2 |    * 7200 |   0    1    1    1 |   1   1   1
------------+------+-----------+--------------------+------------
x5/2o .   . |    5 |    5    0 | 720    *    *    * |   2   0   0
x   . x   . |    4 |    2    2 |   * 3600    *    * |   1   1   0
.   o5x   . |    5 |    0    5 |   *    * 1440    * |   1   0   1
.   . x5/3o |    5 |    0    5 |   *    *    * 1440 |   0   1   1
------------+------+-----------+--------------------+------------
x5/2o5x   . ♦   60 |   60   60 |  12   30   12    0 | 120   *   *
x   . x5/3o ♦   10 |    5   10 |   0    5    0    2 |   * 720   *
.   o5x5/3o ♦   30 |    0   60 |   0    0   12   12 |   *   * 120

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

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