Acronym ...
Name 2gofix (?)
Circumradius (sqrt(5)-1)/2 = 0.618034
Inradius (3-sqrt(5))/4 = 0.190983
General of army ex
Colonel of regiment gishi
Confer
non-Grünbaumian master:
gofix  
Grünbaumian relatives:
gofix+gishi+120gid  

Looks like a compound of 2 gofix with vertices and edges identified, while faces and cells coincide by pairs.

As abstract polytope 2gofix is isomorphic to 2fix, thereby replacing gike by ike, resp. replacing pentagonal edge figures by pentagrammal ones, resp. replacing 2sissid vertex figures by 2gad ones.


Incidence matrix according to Dynkin symbol

x3o5/2o5/2o5/2*b

. .   .   .      | 120   12 |   60 |  12  12
-----------------+-----+-----+------+--------
x .   .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3o   .   .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3o5/2o   .        12 |  30 |   20 | 120   *
x3o   .   o5/2*b   12 |  30 |   20 |   * 120
or
. .   .   .         | 120   12 |   60 |  24
--------------------+-----+-----+------+----
x .   .   .         |   2 | 720 |   10 |  10
--------------------+-----+-----+------+----
x3o   .   .         |   3 |   3 | 2400 |   2
--------------------+-----+-----+------+----
x3o5/2o   .       &   12 |  30 |   20 | 240

x3o5/3o5/3o5/2*b

. .   .   .      | 120   12 |   60 |  12  12
-----------------+-----+-----+------+--------
x .   .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3o   .   .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3o5/3o   .        12 |  30 |   20 | 120   *
x3o   .   o5/2*b   12 |  30 |   20 |   * 120

x3o5/3o5/2o5/3*b

. .   .   .      | 120   12 |   60 |  12  12
-----------------+-----+-----+------+--------
x .   .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3o   .   .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3o5/3o   .        12 |  30 |   20 | 120   *
x3o   .   o5/3*b   12 |  30 |   20 |   * 120
or
. .   .   .         | 120   12 |   60 |  24
--------------------+-----+-----+------+----
x .   .   .         |   2 | 720 |   10 |  10
--------------------+-----+-----+------+----
x3o   .   .         |   3 |   3 | 2400 |   2
--------------------+-----+-----+------+----
x3o5/3o   .       &   12 |  30 |   20 | 240

x3/2o5/2o5/2o5/2*b

.   .   .   .      | 120   12 |   60 |  12  12
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x3/2o   .   .      |   3 |   3 | 2400 |   1   1
-------------------+-----+-----+------+--------
x3/2o5/2o   .        12 |  30 |   20 | 120   *
x3/2o   .   o5/2*b   12 |  30 |   20 |   * 120
or
.   .   .   .         | 120   12 |   60 |  24
----------------------+-----+-----+------+----
x   .   .   .         |   2 | 720 |   10 |  10
----------------------+-----+-----+------+----
x3/2o   .   .         |   3 |   3 | 2400 |   2
----------------------+-----+-----+------+----
x3/2o5/2o   .       &   12 |  30 |   20 | 240

x3/2o5/3o5/3o5/2*b

.   .   .   .      | 120   12 |   60 |  12  12
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x3/2o   .   .      |   3 |   3 | 2400 |   1   1
-------------------+-----+-----+------+--------
x3/2o5/3o   .        12 |  30 |   20 | 120   *
x3/2o   .   o5/2*b   12 |  30 |   20 |   * 120

x3/2o5/3o5/2o5/3*b

.   .   .   .      | 120   12 |   60 |  12  12
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x3/2o   .   .      |   3 |   3 | 2400 |   1   1
-------------------+-----+-----+------+--------
x3/2o5/3o   .        12 |  30 |   20 | 120   *
x3/2o   .   o5/3*b   12 |  30 |   20 |   * 120
or
.   .   .   .         | 120   12 |   60 |  24
----------------------+-----+-----+------+----
x   .   .   .         |   2 | 720 |   10 |  10
----------------------+-----+-----+------+----
x3/2o   .   .         |   3 |   3 | 2400 |   2
----------------------+-----+-----+------+----
x3/2o5/3o   .       &   12 |  30 |   20 | 240

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