Acronym ... Name 2gashi (?) 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: gashi   Grünbaumian relatives: gax+gashi+120gid

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

As abstract polytope 2gashi is isomorphic to 2gohi, thereby replacing pentagrams by pentagons, resp. replacing sissid by gad, resp. replacing 2gad vertex figures by 2sissid ones.

Incidence matrix according to Dynkin symbol

```x5/2o5o5o5/4*b

.   . . .      | 120 ♦  12 |   60 |  12  12
---------------+-----+-----+------+--------
x   . . .      |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x5/2o . .      |   5 |   5 | 1440 |   1   1
---------------+-----+-----+------+--------
x5/2o5o .      ♦  12 |  30 |   12 | 120   *
x5/2o . o5/4*b ♦  12 |  30 |   12 |   * 120
```

```x5/2o5o5/4o5*b

.   . .   .    | 120 ♦  12 |   60 |  12  12
---------------+-----+-----+------+--------
x   . .   .    |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x5/2o .   .    |   5 |   5 | 1440 |   1   1
---------------+-----+-----+------+--------
x5/2o5o   .    ♦  12 |  30 |   12 | 120   *
x5/2o .   o5*b ♦  12 |  30 |   12 |   * 120
```
```or
.   . .   .       | 120 ♦  12 |   60 |  24
------------------+-----+-----+------+----
x   . .   .       |   2 | 720 |   10 |  10
------------------+-----+-----+------+----
x5/2o .   .       |   5 |   5 | 1440 |   2
------------------+-----+-----+------+----
x5/2o5o   .     & ♦  12 |  30 |   12 | 240
```

```x5/2o5/4o5/4o5/4*b

.   .   .   .      | 120 ♦  12 |   60 |  12  12
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x5/2o   .   .      |   5 |   5 | 1440 |   1   1
-------------------+-----+-----+------+--------
x5/2o5/4o   .      ♦  12 |  30 |   12 | 120   *
x5/2o   .   o5/4*b ♦  12 |  30 |   12 |   * 120
```
```or
.   .   .   .         | 120 ♦  12 |   60 |  24
----------------------+-----+-----+------+----
x   .   .   .         |   2 | 720 |   10 |  10
----------------------+-----+-----+------+----
x5/2o   .   .         |   5 |   5 | 1440 |   2
----------------------+-----+-----+------+----
x5/2o5/4o   .       & ♦  12 |  30 |   12 | 240
```

```x5/3o5o5o5/4*b

.   . . .      | 120 ♦  12 |   60 |  12  12
---------------+-----+-----+------+--------
x   . . .      |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x5/3o . .      |   5 |   5 | 1440 |   1   1
---------------+-----+-----+------+--------
x5/3o5o .      ♦  12 |  30 |   12 | 120   *
x5/3o . o5/4*b ♦  12 |  30 |   12 |   * 120
```

```x5/3o5o5/4o5*b

.   . .   .    | 120 ♦  12 |   60 |  12  12
---------------+-----+-----+------+--------
x   . .   .    |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x5/3o .   .    |   5 |   5 | 1440 |   1   1
---------------+-----+-----+------+--------
x5/3o5o   .    ♦  12 |  30 |   12 | 120   *
x5/3o .   o5*b ♦  12 |  30 |   12 |   * 120
```
```or
.   . .   .       | 120 ♦  12 |   60 |  24
------------------+-----+-----+------+----
x   . .   .       |   2 | 720 |   10 |  10
------------------+-----+-----+------+----
x5/3o .   .       |   5 |   5 | 1440 |   2
------------------+-----+-----+------+----
x5/3o5o   .     & ♦  12 |  30 |   12 | 240
```

```x5/3o5/4o5/4o5/4*b

.   .   .   .      | 120 ♦  12 |   60 |  12  12
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x5/3o   .   .      |   5 |   5 | 1440 |   1   1
-------------------+-----+-----+------+--------
x5/3o5/4o   .      ♦  12 |  30 |   12 | 120   *
x5/3o   .   o5/4*b ♦  12 |  30 |   12 |   * 120
```
```or
.   .   .   .         | 120 ♦  12 |   60 |  24
----------------------+-----+-----+------+----
x   .   .   .         |   2 | 720 |   10 |  10
----------------------+-----+-----+------+----
x5/3o   .   .         |   5 |   5 | 1440 |   2
----------------------+-----+-----+------+----
x5/3o5/4o   .       & ♦  12 |  30 |   12 | 240
```