Acronym grawv ditathi Name great retrosphenoverted ditrigonary triakishecatonicosachoron Circumradius sqrt[(11-sqrt(5))/2] = 2.093315 Colonel of regiment swavathi Externallinks

As abstract polytope grawv ditathi is isomorphic to swav ditathi, thereby replacing both types of pentagrams by pentagons, and decagons by decagrams, respectively gid by id, tigid by quit sissid, and sidditdid by gidditdid.

Likewise it is isomorphic to wavathi, thereby replacing tail-type pentagrams only by pentagons, while loop-type ones remain, and replacing decagons by decagrams too, thus gid by id, tigid by quit sissid, and sidditdid by gaddid.

Further it is isomorphic to rawvathi, thereby replacing only loop-type pentagrams by pentagons, thus only sidditdid by saddid.

As such grawv ditathi is a lieutenant.

Incidence matrix according to Dynkin symbol

```o5/2x3o5/3x5*b

.   . .   .    | 3600 |    4    2 |    2    2    4   1 |   1   2   2
---------------+------+-----------+--------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . .   x    |    2 |    * 3600 |    0    0    2   1 |   0   1   2
---------------+------+-----------+--------------------+------------
o5/2x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3o   .    |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x .   x5*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   . o5/3x    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/2x3o   .    ♦   30 |   60    0 |   12   20    0   0 | 120   *   *
o5/2x .   x5*b ♦   60 |   60   30 |   12    0   12   0 |   * 120   *
.   x3o5/3x5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120
```

```o5/2x3/2o5/2x5*b

.   .   .   .    | 3600 |    4    2 |    2    2    4   1 |   1   2   2
-----------------+------+-----------+--------------------+------------
.   x   .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   .   .   x    |    2 |    * 3600 |    0    0    2   1 |   0   1   2
-----------------+------+-----------+--------------------+------------
o5/2x   .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3/2o   .    |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x   .   x5*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   .   o5/2x    |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o5/2x3/2o   .    ♦   30 |   60    0 |   12   20    0   0 | 120   *   *
o5/2x   .   x5*b ♦   60 |   60   30 |   12    0   12   0 |   * 120   *
.   x3/2o5/2x5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120
```

```o5/3x3o5/3x5*b

.   . .   .    | 3600 |    4    2 |    2    2    4   1 |   1   2   2
---------------+------+-----------+--------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . .   x    |    2 |    * 3600 |    0    0    2   1 |   0   1   2
---------------+------+-----------+--------------------+------------
o5/3x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3o   .    |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x .   x5*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   . o5/3x    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/3x3o   .    ♦   30 |   60    0 |   12   20    0   0 | 120   *   *
o5/3x .   x5*b ♦   60 |   60   30 |   12    0   12   0 |   * 120   *
.   x3o5/3x5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120
```

```o5/3x3/2o5/2x5*b

.   .   .   .    | 3600 |    4    2 |    2    2    4   1 |   1   2   2
-----------------+------+-----------+--------------------+------------
.   x   .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   .   .   x    |    2 |    * 3600 |    0    0    2   1 |   0   1   2
-----------------+------+-----------+--------------------+------------
o5/3x   .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3/2o   .    |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x   .   x5*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   .   o5/2x    |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o5/3x3/2o   .    ♦   30 |   60    0 |   12   20    0   0 | 120   *   *
o5/3x   .   x5*b ♦   60 |   60   30 |   12    0   12   0 |   * 120   *
.   x3/2o5/2x5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120
```