Acronym ...
Name gax+gofix (?)
Circumradius (sqrt(5)-1)/2 = 0.618034
General of army ex
Colonel of regiment gishi
Confer gax   gax+gashi+120gid   2gax   gofix   gofix+gishi+120gid   2gofix  

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

As abstract polytope gax+gofix is isomorphic to ex+fix, thereby just scaling the edge figure, a complete pentagon, resp. replacing gike by ike and replacing gacid vertex figures by cid ones.

Just as gacid itself (with vertices being identified) comes in 2 flavors, type A) as in o5/3x3o5*a with vertex figure [(5/3,3)5] or type B) as in o5/3o5/2x3*a with vertex figure [(5/2,3)5]/3, accordingly either one can be used as vertex figure here too. Thus gax+gofix comes alike in 2 corresponding flavors (types being marked accordingly).


Incidence matrix according to Dynkin symbol

x3o3o5o5/3*b (type A)

. . . .      | 120   12 |   60 |  20  12
-------------+-----+-----+------+--------
x . . .      |   2 | 720 |   10 |   5   5
-------------+-----+-----+------+--------
x3o . .      |   3 |   3 | 2400 |   1   1
-------------+-----+-----+------+--------
x3o3o .         4 |   6 |    4 | 600   *
x3o . o5/3*b   12 |  30 |   20 |   * 120

x3o3o5/4o5/2*b (type A)

. . .   .      | 120   12 |   60 |  20  12
---------------+-----+-----+------+--------
x . .   .      |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x3o .   .      |   3 |   3 | 2400 |   1   1
---------------+-----+-----+------+--------
x3o3o   .         4 |   6 |    4 | 600   *
x3o .   o5/2*b   12 |  30 |   20 |   * 120

x3o3/2o5o5/2*b (type A)

. .   . .      | 120   12 |   60 |  20  12
---------------+-----+-----+------+--------
x .   . .      |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x3o   . .      |   3 |   3 | 2400 |   1   1
---------------+-----+-----+------+--------
x3o3/2o .         4 |   6 |    4 | 600   *
x3o   . o5/2*b   12 |  30 |   20 |   * 120

x3o3/2o5/4o5/3*b (type A)

. .   .   .      | 120   12 |   60 |  20  12
-----------------+-----+-----+------+--------
x .   .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3o   .   .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3o3/2o   .         4 |   6 |    4 | 600   *
x3o   .   o5/3*b   12 |  30 |   20 |   * 120

x3/2o3o5o5/3*b (type A)

.   . . .      | 120   12 |   60 |  20  12
---------------+-----+-----+------+--------
x   . . .      |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x3/2o . .      |   3 |   3 | 2400 |   1   1
---------------+-----+-----+------+--------
x3/2o3o .         4 |   6 |    4 | 600   *
x3/2o . o5/3*b   12 |  30 |   20 |   * 120

x3/2o3o5/4o5/2*b (type A)

.   . .   .      | 120   12 |   60 |  20  12
-----------------+-----+-----+------+--------
x   . .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3/2o .   .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3/2o3o   .         4 |   6 |    4 | 600   *
x3/2o .   o5/2*b   12 |  30 |   20 |   * 120

x3/2o3/2o5o5/2*b (type A)

.   .   . .      | 120   12 |   60 |  20  12
-----------------+-----+-----+------+--------
x   .   . .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3/2o   . .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3/2o3/2o .         4 |   6 |    4 | 600   *
x3/2o   . o5/2*b   12 |  30 |   20 |   * 120

x3/2o3/2o5/4o5/3*b (type A)

.   .   .   .      | 120   12 |   60 |  20  12
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x3/2o   .   .      |   3 |   3 | 2400 |   1   1
-------------------+-----+-----+------+--------
x3/2o3/2o   .         4 |   6 |    4 | 600   *
x3/2o   .   o5/3*b   12 |  30 |   20 |   * 120

x3o3o5/2o5/3*b (type B)

. . .   .      | 120   12 |   60 |  20  12
---------------+-----+-----+------+--------
x . .   .      |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x3o .   .      |   3 |   3 | 2400 |   1   1
---------------+-----+-----+------+--------
x3o3o   .         4 |   6 |    4 | 600   *
x3o .   o5/3*b   12 |  30 |   20 |   * 120

x3o3o5/3o5/2*b (type B)

. . .   .      | 120   12 |   60 |  20  12
---------------+-----+-----+------+--------
x . .   .      |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x3o .   .      |   3 |   3 | 2400 |   1   1
---------------+-----+-----+------+--------
x3o3o   .         4 |   6 |    4 | 600   *
x3o .   o5/2*b   12 |  30 |   20 |   * 120

x3o3/2o5/2o5/2*b (type B)

. .   .   .      | 120   12 |   60 |  20  12
-----------------+-----+-----+------+--------
x .   .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3o   .   .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3o3/2o   .         4 |   6 |    4 | 600   *
x3o   .   o5/2*b   12 |  30 |   20 |   * 120

x3o3/2o5/3o5/3*b (type B)

. .   .   .      | 120   12 |   60 |  20  12
-----------------+-----+-----+------+--------
x .   .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3o   .   .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3o3/2o   .         4 |   6 |    4 | 600   *
x3o   .   o5/3*b   12 |  30 |   20 |   * 120

x3/2o3o5/2o5/3*b (type B)

.   . .   .      | 120   12 |   60 |  20  12
-----------------+-----+-----+------+--------
x   . .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3/2o .   .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3/2o3o   .         4 |   6 |    4 | 600   *
x3/2o .   o5/3*b   12 |  30 |   20 |   * 120

x3/2o3o5/3o5/2*b (type B)

.   . .   .      | 120   12 |   60 |  20  12
-----------------+-----+-----+------+--------
x   . .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x3/2o .   .      |   3 |   3 | 2400 |   1   1
-----------------+-----+-----+------+--------
x3/2o3o   .         4 |   6 |    4 | 600   *
x3/2o .   o5/2*b   12 |  30 |   20 |   * 120

x3/2o3/2o5/2o5/2*b (type B)

.   .   .   .      | 120   12 |   60 |  20  12
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x3/2o   .   .      |   3 |   3 | 2400 |   1   1
-------------------+-----+-----+------+--------
x3/2o3/2o   .         4 |   6 |    4 | 600   *
x3/2o   .   o5/2*b   12 |  30 |   20 |   * 120

x3/2o3/2o5/3o5/3*b (type B)

.   .   .   .      | 120   12 |   60 |  20  12
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x3/2o   .   .      |   3 |   3 | 2400 |   1   1
-------------------+-----+-----+------+--------
x3/2o3/2o   .         4 |   6 |    4 | 600   *
x3/2o   .   o5/3*b   12 |  30 |   20 |   * 120

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