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 12012000600
sirsashi 120012012000
& others)
Face vector 3600, 10800, 8160, 1440
Confer
decompositions:
rofix || sirsashi  
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron

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

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