Acronym	sirgaghi
Name	small rhombated great grand hecatonicosachoron
	© displaying the gids only
Circumradius	sqrt[9-3 sqrt(5)] = 1.513868
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gid ided raded trip tut grawv hixhi 120 120 0 0 600 sirgaghi 120 0 120 1200 0 & others)
Face vector	3600, 10800, 8160, 1440
Confer	decompositions: rigfix || sirgaghi   general polytopal classes: Wythoffian polychora
External links

As abstract polytope sirgaghi is isomorphic to sirsashi, thereby interchanging pentagrams and pentagons, resp. replacing gid by id.

If considered with according densities, then sirgaghi can be thought of as the external blend of 1 rigfix + 120 sissidaradeds + 1200 triddips + 120 giddips. This decomposition is described as the degenerate segmentoteron ox5oo5/2xx3oo&#x.

Incidence matrix according to Dynkin symbol

x5o5/2x3o
  
. .   . . | 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
----------+------+-----------+--------------------+-------------
x5o   . . |    5 |    5    0 | 720    *    *    * |   2    0   0
x .   x . |    4 |    2    2 |   * 3600    *    * |   1    1   0
. o5/2x . |    5 |    0    5 |   *    * 1440    * |   1    0   1
. .   x3o |    3 |    0    3 |   *    *    * 2400 |   0    1   1
----------+------+-----------+--------------------+-------------
x5o5/2x . ♦   60 |   60   60 |  12   30   12    0 | 120    *   *
x .   x3o ♦    6 |    3    6 |   0    3    0    2 |   * 1200   *
. o5/2x3o ♦   30 |    0   60 |   0    0   12   20 |   *    * 120

x5o5/2x3/2o
  
. .   .   . | 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
------------+------+-----------+--------------------+-------------
x5o   .   . |    5 |    5    0 | 720    *    *    * |   2    0   0
x .   x   . |    4 |    2    2 |   * 3600    *    * |   1    1   0
. o5/2x   . |    5 |    0    5 |   *    * 1440    * |   1    0   1
. .   x3/2o |    3 |    0    3 |   *    *    * 2400 |   0    1   1
------------+------+-----------+--------------------+-------------
x5o5/2x   . ♦   60 |   60   60 |  12   30   12    0 | 120    *   *
x .   x3/2o ♦    6 |    3    6 |   0    3    0    2 |   * 1200   *
. o5/2x3/2o ♦   30 |    0   60 |   0    0   12   20 |   *    * 120

x5/4o5/3x3o
  
.   .   . . | 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
------------+------+-----------+--------------------+-------------
x5/4o   . . |    5 |    5    0 | 720    *    *    * |   2    0   0
x   .   x . |    4 |    2    2 |   * 3600    *    * |   1    1   0
.   o5/3x . |    5 |    0    5 |   *    * 1440    * |   1    0   1
.   .   x3o |    3 |    0    3 |   *    *    * 2400 |   0    1   1
------------+------+-----------+--------------------+-------------
x5/4o5/3x . ♦   60 |   60   60 |  12   30   12    0 | 120    *   *
x   .   x3o ♦    6 |    3    6 |   0    3    0    2 |   * 1200   *
.   o5/3x3o ♦   30 |    0   60 |   0    0   12   20 |   *    * 120

x5/4o5/3x3/2o
  
.   .   .   . | 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
--------------+------+-----------+--------------------+-------------
x5/4o   .   . |    5 |    5    0 | 720    *    *    * |   2    0   0
x   .   x   . |    4 |    2    2 |   * 3600    *    * |   1    1   0
.   o5/3x   . |    5 |    0    5 |   *    * 1440    * |   1    0   1
.   .   x3/2o |    3 |    0    3 |   *    *    * 2400 |   0    1   1
--------------+------+-----------+--------------------+-------------
x5/4o5/3x   . ♦   60 |   60   60 |  12   30   12    0 | 120    *   *
x   .   x3/2o ♦    6 |    3    6 |   0    3    0    2 |   * 1200   *
.   o5/3x3/2o ♦   30 |    0   60 |   0    0   12   20 |   *    * 120