Acronym dattathi Name ditetrahedronary trishecatonicosachoron Cross sections ` ©` Circumradius sqrt(2) = 1.414214 General of army hi Colonel of regiment dattady Confer Grünbaumian relatives: geedatepthi   seedatepthi Externallinks

As abstract polytope dattathi is automorph, thereby interchanging pentagrams and pentagons, resp. gissid and doe.

Incidence matrix according to Dynkin symbol

```o3o3o5/2x5*a3/2*c

. . .   .         | 600 |   12 |   12   12 |   4   4   4
------------------+-----+------+-----------+------------
. . .   x         |   2 | 3600 |    2    2 |   1   2   1
------------------+-----+------+-----------+------------
o . .   x5*a      |   5 |    5 | 1440    * |   1   1   0
. . o5/2x         |   5 |    5 |    * 1440 |   0   1   1
------------------+-----+------+-----------+------------
o3o .   x5*a      ♦  20 |   30 |   12    0 | 120   *   *
o . o5/2x5*a3/2*c ♦  20 |   60 |   12   12 |   * 120   *
. o3o5/2x         ♦  20 |   30 |    0   12 |   *   * 120
```

```o3o3o5/3x5/4*a3/2*c

. . .   .           | 600 |   12 |   12   12 |   4   4   4
--------------------+-----+------+-----------+------------
. . .   x           |   2 | 3600 |    2    2 |   1   2   1
--------------------+-----+------+-----------+------------
o . .   x5/4*a      |   5 |    5 | 1440    * |   1   1   0
. . o5/3x           |   5 |    5 |    * 1440 |   0   1   1
--------------------+-----+------+-----------+------------
o3o .   x5/4*a      ♦  20 |   30 |   12    0 | 120   *   *
o . o5/3x5/4*a3/2*c ♦  20 |   60 |   12   12 |   * 120   *
. o3o5/3x           ♦  20 |   30 |    0   12 |   *   * 120
```

```o3o3/2o5/3x5*a3*c

. .   .   .       | 600 |   12 |   12   12 |   4   4   4
------------------+-----+------+-----------+------------
. .   .   x       |   2 | 3600 |    2    2 |   1   2   1
------------------+-----+------+-----------+------------
o .   .   x5*a    |   5 |    5 | 1440    * |   1   1   0
. .   o5/3x       |   5 |    5 |    * 1440 |   0   1   1
------------------+-----+------+-----------+------------
o3o   .   x5*a    ♦  20 |   30 |   12    0 | 120   *   *
o .   o5/3x5*a3*c ♦  20 |   60 |   12   12 |   * 120   *
. o3/2o5/3x       ♦  20 |   30 |    0   12 |   *   * 120
```

```o3o3/2o5/2x5/4*a3*c

. .   .   .         | 600 |   12 |   12   12 |   4   4   4
--------------------+-----+------+-----------+------------
. .   .   x         |   2 | 3600 |    2    2 |   1   2   1
--------------------+-----+------+-----------+------------
o .   .   x5/4*a    |   5 |    5 | 1440    * |   1   1   0
. .   o5/2x         |   5 |    5 |    * 1440 |   0   1   1
--------------------+-----+------+-----------+------------
o3o   .   x5/4*a    ♦  20 |   30 |   12    0 | 120   *   *
o .   o5/2x5/4*a3*c ♦  20 |   60 |   12   12 |   * 120   *
. o3/2o5/2x         ♦  20 |   30 |    0   12 |   *   * 120
```

```o3/2o3o5/3x5*a3*c

.   . .   .       | 600 |   12 |   12   12 |   4   4   4
------------------+-----+------+-----------+------------
.   . .   x       |   2 | 3600 |    2    2 |   1   2   1
------------------+-----+------+-----------+------------
o   . .   x5*a    |   5 |    5 | 1440    * |   1   1   0
.   . o5/3x       |   5 |    5 |    * 1440 |   0   1   1
------------------+-----+------+-----------+------------
o3/2o .   x5*a    ♦  20 |   30 |   12    0 | 120   *   *
o   . o5/3x5*a3*c ♦  20 |   60 |   12   12 |   * 120   *
.   o3o5/3x       ♦  20 |   30 |    0   12 |   *   * 120
```

```o3/2o3o5/2x5/4*a3*c

.   . .   .         | 600 |   12 |   12   12 |   4   4   4
--------------------+-----+------+-----------+------------
.   . .   x         |   2 | 3600 |    2    2 |   1   2   1
--------------------+-----+------+-----------+------------
o   . .   x5/4*a    |   5 |    5 | 1440    * |   1   1   0
.   . o5/2x         |   5 |    5 |    * 1440 |   0   1   1
--------------------+-----+------+-----------+------------
o3/2o .   x5/4*a    ♦  20 |   30 |   12    0 | 120   *   *
o   . o5/2x5/4*a3*c ♦  20 |   60 |   12   12 |   * 120   *
.   o3o5/2x         ♦  20 |   30 |    0   12 |   *   * 120
```

```o3/2o3/2o5/2x5*a3/2*c

.   .   .   .         | 600 |   12 |   12   12 |   4   4   4
----------------------+-----+------+-----------+------------
.   .   .   x         |   2 | 3600 |    2    2 |   1   2   1
----------------------+-----+------+-----------+------------
o   .   .   x5*a      |   5 |    5 | 1440    * |   1   1   0
.   .   o5/2x         |   5 |    5 |    * 1440 |   0   1   1
----------------------+-----+------+-----------+------------
o3/2o   .   x5*a      ♦  20 |   30 |   12    0 | 120   *   *
o   .   o5/2x5*a3/2*c ♦  20 |   60 |   12   12 |   * 120   *
.   o3/2o5/2x         ♦  20 |   30 |    0   12 |   *   * 120
```

```o3/2o3/2o5/3x5/4*a3/2*c

.   .   .   .           | 600 |   12 |   12   12 |   4   4   4
------------------------+-----+------+-----------+------------
.   .   .   x           |   2 | 3600 |    2    2 |   1   2   1
------------------------+-----+------+-----------+------------
o   .   .   x5/4*a      |   5 |    5 | 1440    * |   1   1   0
.   .   o5/3x           |   5 |    5 |    * 1440 |   0   1   1
------------------------+-----+------+-----------+------------
o3/2o   .   x5/4*a      ♦  20 |   30 |   12    0 | 120   *   *
o   .   o5/3x5/4*a3/2*c ♦  20 |   60 |   12   12 |   * 120   *
.   o3/2o5/3x           ♦  20 |   30 |    0   12 |   *   * 120
```