Acronym ...
Name 2gaghi (?)
Circumradius 1
Inradius (sqrt(5)-1)/4 = 0.309017
General of army ex
Colonel of regiment sishi
Confer
non-Grünbaumian master:
gaghi  
Grünbaumian relatives:
gaghi+paphacki+sridaphi   2gaghi+2paphacki  

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

As abstract polytope 2gaghi is isomorphic to 2sishi, thereby replacing gad by sissid, resp. replacing 2gissid vertex figures by 2doe ones.


Incidence matrix according to Dynkin symbol

x5o5/2o3o5/3*b

. .   . .      | 120    20 |   60 |  12  12
---------------+-----+------+------+--------
x .   . .      |   2 | 1200 |    6 |   3   3
---------------+-----+------+------+--------
x5o   . .      |   5 |    5 | 1440 |   1   1
---------------+-----+------+------+--------
x5o5/2o .        12 |   30 |   12 | 120   *
x5o   . o5/3*b   12 |   30 |   12 |   * 120

x5o5/2o3/2o5/2*b

. .   .   .      | 120    20 |   60 |  12  12
-----------------+-----+------+------+--------
x .   .   .      |   2 | 1200 |    6 |   3   3
-----------------+-----+------+------+--------
x5o   .   .      |   5 |    5 | 1440 |   1   1
-----------------+-----+------+------+--------
x5o5/2o   .        12 |   30 |   12 | 120   *
x5o   .   o5/2*b   12 |   30 |   12 |   * 120
or
. .   .   .         | 120    20 |   60 |  24
--------------------+-----+------+------+----
x .   .   .         |   2 | 1200 |    6 |   6
--------------------+-----+------+------+----
x5o   .   .         |   5 |    5 | 1440 |   2
--------------------+-----+------+------+----
x5o5/2o   .       &   12 |   30 |   12 | 240

x5o5/3o3/2o5/3*b

. .   .   .      | 120    20 |   60 |  12  12
-----------------+-----+------+------+--------
x .   .   .      |   2 | 1200 |    6 |   3   3
-----------------+-----+------+------+--------
x5o   .   .      |   5 |    5 | 1440 |   1   1
-----------------+-----+------+------+--------
x5o5/3o   .        12 |   30 |   12 | 120   *
x5o   .   o5/3*b   12 |   30 |   12 |   * 120
or
. .   .   .         | 120    20 |   60 |  24
--------------------+-----+------+------+----
x .   .   .         |   2 | 1200 |    6 |   6
--------------------+-----+------+------+----
x5o   .   .         |   5 |    5 | 1440 |   2
--------------------+-----+------+------+----
x5o5/3o   .       &   12 |   30 |   12 | 240

x5/4o5/2o3o5/3*b

.   .   . .      | 120    20 |   60 |  12  12
-----------------+-----+------+------+--------
x   .   . .      |   2 | 1200 |    6 |   3   3
-----------------+-----+------+------+--------
x5/4o   . .      |   5 |    5 | 1440 |   1   1
-----------------+-----+------+------+--------
x5/4o5/2o .        12 |   30 |   12 | 120   *
x5/4o   . o5/3*b   12 |   30 |   12 |   * 120

x5/4o5/2o3/2o5/2*b

.   .   .   .      | 120    20 |   60 |  12  12
-------------------+-----+------+------+--------
x   .   .   .      |   2 | 1200 |    6 |   3   3
-------------------+-----+------+------+--------
x5/4o   .   .      |   5 |    5 | 1440 |   1   1
-------------------+-----+------+------+--------
x5/4o5/2o   .        12 |   30 |   12 | 120   *
x5/4o   .   o5/2*b   12 |   30 |   12 |   * 120
or
.   .   .   .         | 120    20 |   60 |  24
----------------------+-----+------+------+----
x   .   .   .         |   2 | 1200 |    6 |   6
----------------------+-----+------+------+----
x5/4o   .   .         |   5 |    5 | 1440 |   2
----------------------+-----+------+------+----
x5/4o5/2o   .       &   12 |   30 |   12 | 240

x5/4o5/3o3/2o5/3*b

.   .   .   .      | 120    20 |   60 |  12  12
-------------------+-----+------+------+--------
x   .   .   .      |   2 | 1200 |    6 |   3   3
-------------------+-----+------+------+--------
x5/4o   .   .      |   5 |    5 | 1440 |   1   1
-------------------+-----+------+------+--------
x5/4o5/3o   .        12 |   30 |   12 | 120   *
x5/4o   .   o5/3*b   12 |   30 |   12 |   * 120
or
.   .   .   .         | 120    20 |   60 |  24
----------------------+-----+------+------+----
x   .   .   .         |   2 | 1200 |    6 |   6
----------------------+-----+------+------+----
x5/4o   .   .         |   5 |    5 | 1440 |   2
----------------------+-----+------+------+----
x5/4o5/3o   .       &   12 |   30 |   12 | 240

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