Acronym ... Name 2gishi (?) Circumradius (sqrt(5)-1)/2 = 0.618034 Inradius (sqrt(5)-1)/4 = 0.309017 General of army ex Colonel of regiment gishi Confer non-Grünbaumian master: gishi   Grünbaumian relatives: gishi+gashi

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

As abstract polytope 2gishi is isomorphic to 2gahi, thereby replacing gissid by doe, resp. replacing pentagrammal faces by pentagonal ones, resp. replacing 2ike vertex figures by 2gike ones.

Incidence matrix according to Dynkin symbol

```x5/2o3o5/2o3*b

.   . .   .    | 120 ♦  12 |   60 |  20  20
---------------+-----+-----+------+--------
x   . .   .    |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x5/2o .   .    |   5 |   5 | 1440 |   1   1
---------------+-----+-----+------+--------
x5/2o3o   .    ♦  20 |  30 |   12 | 120   *
x5/2o .   o3*b ♦  20 |  30 |   12 |   * 120
```
```or
.   . .   .       | 120 ♦  12 |   60 |  40
------------------+-----+-----+------+----
x   . .   .       |   2 | 720 |   10 |  10
------------------+-----+-----+------+----
x5/2o .   .       |   5 |   5 | 1440 |   2
------------------+-----+-----+------+----
x5/2o3o   .     & ♦  20 |  30 |   12 | 240
```

```x5/2o3o5/3o3/2*b

.   . .   .      | 120 ♦  12 |   60 |  20  20
-----------------+-----+-----+------+--------
x   . .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x5/2o .   .      |   5 |   5 | 1440 |   1   1
-----------------+-----+-----+------+--------
x5/2o3o   .      ♦  20 |  30 |   12 | 120   *
x5/2o .   o3/2*b ♦  20 |  30 |   12 |   * 120
```

```x5/2o3/2o5/2o3/2*b

.   .   .   .      | 120 ♦  12 |   60 |  20  20
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x5/2o   .   .      |   5 |   5 | 1440 |   1   1
-------------------+-----+-----+------+--------
x5/2o3/2o   .      ♦  20 |  30 |   12 | 120   *
x5/2o   .   o3/2*b ♦  20 |  30 |   12 |   * 120
```
```or
.   .   .   .         | 120 ♦  12 |   60 |  40
----------------------+-----+-----+------+----
x   .   .   .         |   2 | 720 |   10 |  10
----------------------+-----+-----+------+----
x5/2o   .   .         |   5 |   5 | 1440 |   2
----------------------+-----+-----+------+----
x5/2o3/2o   .       & ♦  20 |  30 |   12 | 240
```

```x5/3o3o5/2o3*b

.   . .   .    | 120 ♦  12 |   60 |  20  20
---------------+-----+-----+------+--------
x   . .   .    |   2 | 720 |   10 |   5   5
---------------+-----+-----+------+--------
x5/3o .   .    |   5 |   5 | 1440 |   1   1
---------------+-----+-----+------+--------
x5/3o3o   .    ♦  20 |  30 |   12 | 120   *
x5/3o .   o3*b ♦  20 |  30 |   12 |   * 120
```
```or
.   . .   .       | 120 ♦  12 |   60 |  40
------------------+-----+-----+------+----
x   . .   .       |   2 | 720 |   10 |  10
------------------+-----+-----+------+----
x5/3o .   .       |   5 |   5 | 1440 |   2
------------------+-----+-----+------+----
x5/3o3o   .     & ♦  20 |  30 |   12 | 240
```

```x5/3o3o5/3o3/2*b

.   . .   .      | 120 ♦  12 |   60 |  20  20
-----------------+-----+-----+------+--------
x   . .   .      |   2 | 720 |   10 |   5   5
-----------------+-----+-----+------+--------
x5/3o .   .      |   5 |   5 | 1440 |   1   1
-----------------+-----+-----+------+--------
x5/3o3o   .      ♦  20 |  30 |   12 | 120   *
x5/3o .   o3/2*b ♦  20 |  30 |   12 |   * 120
```

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

.   .   .   .      | 120 ♦  12 |   60 |  20  20
-------------------+-----+-----+------+--------
x   .   .   .      |   2 | 720 |   10 |   5   5
-------------------+-----+-----+------+--------
x5/3o   .   .      |   5 |   5 | 1440 |   1   1
-------------------+-----+-----+------+--------
x5/3o3/2o   .      ♦  20 |  30 |   12 | 120   *
x5/3o   .   o3/2*b ♦  20 |  30 |   12 |   * 120
```
```or
.   .   .   .         | 120 ♦  12 |   60 |  40
----------------------+-----+-----+------+----
x   .   .   .         |   2 | 720 |   10 |  10
----------------------+-----+-----+------+----
x5/3o   .   .         |   5 |   5 | 1440 |   2
----------------------+-----+-----+------+----
x5/3o3/2o   .       & ♦  20 |  30 |   12 | 240
```