Acronym ...
Name 2firgaghi (?)
Circumradius sqrt[(9-3 sqrt(5))/2] = 1.070466
General of army rahi
Colonel of regiment ragaghi
Confer
non-Grünbaumian master:
firgaghi  

Looks like a completely coincident compound of 2 copies of firgaghi, in fact all elements coincide by 2.

As abstract polytope 2firgaghi is isomorphic to 2firsashi, thereby replacing pentagrams by pentagons, resp. replacing gissid by doe and tiggy by ti.


Incidence matrix according to Dynkin symbol

x3x5/2o3/2o5/2*a

. .   .   .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
-----------------+------+-----------+----------------+----------------
x .   .   .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x   .   .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
-----------------+------+-----------+----------------+----------------
x3x   .   .      |    6 |    3    3 | 2400    *    * |   1   1   0   0
x .   .   o5/2*a |    5 |    5    0 |    * 1440    * |   0   1   1   0
. x5/2o   .      |    5 |    0    5 |    *    * 1440 |   1   0   0   1
-----------------+------+-----------+----------------+----------------
x3x5/2o   .         60 |   30   60 |   20    0   12 | 120   *   *   *
x3x   .   o5/2*a    60 |   60   30 |   20   12    0 |   * 120   *   *
x .   o3/2o5/2*a    20 |   30    0 |    0   12    0 |   *   * 120   *
. x5/2o3/2o         20 |    0   30 |    0    0   12 |   *   *   * 120
or
. .   .   .         | 2400 |    6 |    6    6 |   6   2
--------------------+------+------+-----------+--------
x .   .   .       & |    2 | 7200 |    2    2 |   3   1
--------------------+------+------+-----------+--------
x3x   .   .         |    6 |    6 | 2400    * |   2   0
x .   .   o5/2*a  & |    5 |    5 |    * 2880 |   1   1
--------------------+------+------+-----------+--------
x3x5/2o   .       &    60 |   90 |   20   12 | 240   *
x .   o3/2o5/2*a  &    20 |   30 |    0   12 |   * 240

x3x5/2o3o5/3*a

. .   . .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
---------------+------+-----------+----------------+----------------
x .   . .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x   . .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
---------------+------+-----------+----------------+----------------
x3x   . .      |    6 |    3    3 | 2400    *    * |   1   1   0   0
x .   . o5/3*a |    5 |    5    0 |    * 1440    * |   0   1   1   0
. x5/2o .      |    5 |    0    5 |    *    * 1440 |   1   0   0   1
---------------+------+-----------+----------------+----------------
x3x5/2o .         60 |   30   60 |   20    0   12 | 120   *   *   *
x3x   . o5/3*a    60 |   60   30 |   20   12    0 |   * 120   *   *
x .   o3o5/3*a    20 |   30    0 |    0   12    0 |   *   * 120   *
. x5/2o3o         20 |    0   30 |    0    0   12 |   *   *   * 120

x3x5/3o3/2o5/3*a

. .   .   .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
-----------------+------+-----------+----------------+----------------
x .   .   .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x   .   .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
-----------------+------+-----------+----------------+----------------
x3x   .   .      |    6 |    3    3 | 2400    *    * |   1   1   0   0
x .   .   o5/3*a |    5 |    5    0 |    * 1440    * |   0   1   1   0
. x5/3o   .      |    5 |    0    5 |    *    * 1440 |   1   0   0   1
-----------------+------+-----------+----------------+----------------
x3x5/3o   .         60 |   30   60 |   20    0   12 | 120   *   *   *
x3x   .   o5/3*a    60 |   60   30 |   20   12    0 |   * 120   *   *
x .   o3/2o5/3*a    20 |   30    0 |    0   12    0 |   *   * 120   *
. x5/3o3/2o         20 |    0   30 |    0    0   12 |   *   *   * 120
or
. .   .   .         | 2400 |    6 |    6    6 |   6   2
--------------------+------+------+-----------+--------
x .   .   .       & |    2 | 7200 |    2    2 |   3   1
--------------------+------+------+-----------+--------
x3x   .   .         |    6 |    6 | 2400    * |   2   0
x .   .   o5/3*a  & |    5 |    5 |    * 2880 |   1   1
--------------------+------+------+-----------+--------
x3x5/3o   .       &    60 |   90 |   20   12 | 240   *
x .   o3/2o5/3*a  &    20 |   30 |    0   12 |   * 240

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