Acronym radatathi Name retroditetrahedronary dishecatonicosachoron Cross sections ` ©` Circumradius sqrt(2) = 1.414214 General of army hi Colonel of regiment dattady Externallinks

As abstract polytope radatathi is automorph, thereby interchanging the roles of pentagrams and pentagons, resp. gissid and doe.

Incidence matrix according to Dynkin symbol

```x5o3o3o5/3*a

. . . .      | 600 |   12 |   12   12 |   4   6   4
-------------+-----+------+-----------+------------
x . . .      |   2 | 3600 |    2    2 |   1   2   1
-------------+-----+------+-----------+------------
x5o . .      |   5 |    5 | 1440    * |   1   1   0
x . . o5/3*a |   5 |    5 |    * 1440 |   0   1   1
-------------+-----+------+-----------+------------
x5o3o .      ♦  20 |   30 |   12    0 | 120   *   *
x5o . o5/3*a ♦  30 |   60 |   12   12 |   * 120   *
x . o3o5/3*a ♦  20 |   30 |    0   12 |   *   * 120
```

```x5o3o3/2o5/2*a

. . .   .      | 600 |   12 |   12   12 |   4   6   4
---------------+-----+------+-----------+------------
x . .   .      |   2 | 3600 |    2    2 |   1   2   1
---------------+-----+------+-----------+------------
x5o .   .      |   5 |    5 | 1440    * |   1   1   0
x . .   o5/2*a |   5 |    5 |    * 1440 |   0   1   1
---------------+-----+------+-----------+------------
x5o3o   .      ♦  20 |   30 |   12    0 | 120   *   *
x5o .   o5/2*a ♦  30 |   60 |   12   12 |   * 120   *
x . o3/2o5/2*a ♦  20 |   30 |    0   12 |   *   * 120
```

```x5o3/2o3o5/2*a

. .   . .      | 600 |   12 |   12   12 |   4   6   4
---------------+-----+------+-----------+------------
x .   . .      |   2 | 3600 |    2    2 |   1   2   1
---------------+-----+------+-----------+------------
x5o   . .      |   5 |    5 | 1440    * |   1   1   0
x .   . o5/2*a |   5 |    5 |    * 1440 |   0   1   1
---------------+-----+------+-----------+------------
x5o3/2o .      ♦  20 |   30 |   12    0 | 120   *   *
x5o   . o5/2*a ♦  30 |   60 |   12   12 |   * 120   *
x .   o3o5/2*a ♦  20 |   30 |    0   12 |   *   * 120
```

```x5/4o3o3o5/2*a

.   . . .      | 600 |   12 |   12   12 |   4   6   4
---------------+-----+------+-----------+------------
x   . . .      |   2 | 3600 |    2    2 |   1   2   1
---------------+-----+------+-----------+------------
x5/4o . .      |   5 |    5 | 1440    * |   1   1   0
x   . . o5/2*a |   5 |    5 |    * 1440 |   0   1   1
---------------+-----+------+-----------+------------
x5/4o3o .      ♦  20 |   30 |   12    0 | 120   *   *
x5/4o . o5/2*a ♦  30 |   60 |   12   12 |   * 120   *
x   . o3o5/2*a ♦  20 |   30 |    0   12 |   *   * 120
```

```x5o3/2o3/2o5/3*a

. .   .   .      | 600 |   12 |   12   12 |   4   6   4
-----------------+-----+------+-----------+------------
x .   .   .      |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x5o   .   .      |   5 |    5 | 1440    * |   1   1   0
x .   .   o5/3*a |   5 |    5 |    * 1440 |   0   1   1
-----------------+-----+------+-----------+------------
x5o3/2o   .      ♦  20 |   30 |   12    0 | 120   *   *
x5o   .   o5/3*a ♦  30 |   60 |   12   12 |   * 120   *
x .   o3/2o5/3*a ♦  20 |   30 |    0   12 |   *   * 120
```

```x5/4o3o3/2o5/3*a

.   . .   .      | 600 |   12 |   12   12 |   4   6   4
-----------------+-----+------+-----------+------------
x   . .   .      |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x5/4o .   .      |   5 |    5 | 1440    * |   1   1   0
x   . .   o5/3*a |   5 |    5 |    * 1440 |   0   1   1
-----------------+-----+------+-----------+------------
x5/4o3o   .      ♦  20 |   30 |   12    0 | 120   *   *
x5/4o .   o5/3*a ♦  30 |   60 |   12   12 |   * 120   *
x   . o3/2o5/3*a ♦  20 |   30 |    0   12 |   *   * 120
```

```x5/4o3/2o3o5/3*a

.   .   . .      | 600 |   12 |   12   12 |   4   6   4
-----------------+-----+------+-----------+------------
x   .   . .      |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x5/4o   . .      |   5 |    5 | 1440    * |   1   1   0
x   .   . o5/3*a |   5 |    5 |    * 1440 |   0   1   1
-----------------+-----+------+-----------+------------
x5/4o3/2o .      ♦  20 |   30 |   12    0 | 120   *   *
x5/4o   . o5/3*a ♦  30 |   60 |   12   12 |   * 120   *
x   .   o3o5/3*a ♦  20 |   30 |    0   12 |   *   * 120
```

```x5/4o3/2o3/2o5/2*a

.   .   .   .      | 600 |   12 |   12   12 |   4   6   4
-------------------+-----+------+-----------+------------
x   .   .   .      |   2 | 3600 |    2    2 |   1   2   1
-------------------+-----+------+-----------+------------
x5/4o   .   .      |   5 |    5 | 1440    * |   1   1   0
x   .   .   o5/2*a |   5 |    5 |    * 1440 |   0   1   1
-------------------+-----+------+-----------+------------
x5/4o3/2o   .      ♦  20 |   30 |   12    0 | 120   *   *
x5/4o   .   o5/2*a ♦  30 |   60 |   12   12 |   * 120   *
x   .   o3/2o5/2*a ♦  20 |   30 |    0   12 |   *   * 120
```