Acronym	sirsashi
Name	small rhombated small stellated hecatonicosachoron
Circumradius	sqrt[9+3 sqrt(5)] = 3.963358
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: id ided raded trip tut mrawv hixhi 120 120 0 0 600 sirsashi 120 0 120 1200 0 & others)
Face vector	3600, 10800, 8160, 1440
Confer	decompositions: rofix || sirsashi   general polytopal classes: Wythoffian polychora
External links

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

If considered with according densities, then quipdohi can be thought of as the external blend of 1 rofix + 120 sissidaradeds + 1200 triddips + 120 iddips. This decomposition is described as the degenerate segmentoteron ox5/2oo5xx3oo&#x.

Incidence matrix according to Dynkin symbol

x5/2o5x3o
  
.   . . . | 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
.   . x3o |    3 |    0    3 |   *    *    * 2400 |   0    1   1
----------+------+-----------+--------------------+-------------
x5/2o5x . ♦   60 |   60   60 |  12   30   12    0 | 120    *   *
x   . x3o ♦    6 |    3    6 |   0    3    0    2 |   * 1200   *
.   o5x3o ♦   30 |    0   60 |   0    0   12   20 |   *    * 120

x5/2o5x3/2o
  
.   . .   . | 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
.   . x3/2o |    3 |    0    3 |   *    *    * 2400 |   0    1   1
------------+------+-----------+--------------------+-------------
x5/2o5x   . ♦   60 |   60   60 |  12   30   12    0 | 120    *   *
x   . x3/2o ♦    6 |    3    6 |   0    3    0    2 |   * 1200   *
.   o5x3/2o ♦   30 |    0   60 |   0    0   12   20 |   *    * 120

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

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