Acronym datcathi Name ditetrahedronary coincidic trishecatonicosachoron Circumradius sqrt(2) = 1.414214 General of army hi Colonel of regiment dattady Confer blend-components: dattady   giddatady   mardatathi   ridatathi

As abstract polytope datcathi is automorph, thereby interchanging pentagrams and pentagons, resp. sidtid and gidtid.

This Grünbaumian polychoron can be obtained as a blend of dattady and mardatathi, blending out the gissid, or likewise (isomorphically) as the blend of giddatady and ridatathi, blending out the doe. Thereby it happens that the sidtid and gidtid cells one by one become co-realmic, and that edges and triangles both coincide pairwise.

Incidence matrix

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

.   . .   .       | 600 |   24 |   12   12   12 |   4   6   4
------------------+-----+------+----------------+------------
x   . .   .       |   2 | 7200 |    1    1    1 |   1   1   1
------------------+-----+------+----------------+------------
x5/2o .   .       |   5 |    5 | 1440    *    * |   1   1   0
x   . o   . *a3*c |   3 |    3 |    * 2400    * |   1   0   1
x   . .   o5*a    |   5 |    5 |    *    * 1440 |   0   1   1
------------------+-----+------+----------------+------------
x5/2o3o   . *a3*c ♦  20 |   60 |   12   20    0 | 120   *   *
x5/2o .   o5*a    ♦  30 |   60 |   12    0   12 |   * 120   *
x   . o3/2o5*a3*c ♦  20 |   60 |    0   20   12 |   *   * 120
```

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

.   .   . .         | 600 |   24 |   12   12   12 |   4   6   4
--------------------+-----+------+----------------+------------
x   .   . .         |   2 | 7200 |    1    1    1 |   1   1   1
--------------------+-----+------+----------------+------------
x5/2o   . .         |   5 |    5 | 1440    *    * |   1   1   0
x   .   o . *a3/2*c |   3 |    3 |    * 2400    * |   1   0   1
x   .   . o5*a      |   5 |    5 |    *    * 1440 |   0   1   1
--------------------+-----+------+----------------+------------
x5/2o3/2o . *a3/2*c ♦  20 |   60 |   12   20    0 | 120   *   *
x5/2o   . o5*a      ♦  30 |   60 |   12    0   12 |   * 120   *
x   .   o3o5*a3/2*c ♦  20 |   60 |    0   20   12 |   *   * 120
```

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

.   . . .         | 600 |   24 |   12   12   12 |   4   6   4
------------------+-----+------+----------------+------------
x   . . .         |   2 | 7200 |    1    1    1 |   1   1   1
------------------+-----+------+----------------+------------
x5/3o . .         |   5 |    5 | 1440    *    * |   1   1   0
x   . o . *a3/2*c |   3 |    3 |    * 2400    * |   1   0   1
x   . . o5*a      |   5 |    5 |    *    * 1440 |   0   1   1
------------------+-----+------+----------------+------------
x5/3o3o . *a3/2*c ♦  20 |   60 |   12   20    0 | 120   *   *
x5/3o . o5*a      ♦  30 |   60 |   12    0   12 |   * 120   *
x   . o3o5*a3/2*c ♦  20 |   60 |    0   20   12 |   *   * 120
```

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

.   .   .   .       | 600 |   24 |   12   12   12 |   4   6   4
--------------------+-----+------+----------------+------------
x   .   .   .       |   2 | 7200 |    1    1    1 |   1   1   1
--------------------+-----+------+----------------+------------
x5/3o   .   .       |   5 |    5 | 1440    *    * |   1   1   0
x   .   o   . *a3*c |   3 |    3 |    * 2400    * |   1   0   1
x   .   .   o5*a    |   5 |    5 |    *    * 1440 |   0   1   1
--------------------+-----+------+----------------+------------
x5/3o3/2o   . *a3*c ♦  20 |   60 |   12   20    0 | 120   *   *
x5/3o   .   o5*a    ♦  30 |   60 |   12    0   12 |   * 120   *
x   .   o3/2o5*a3*c ♦  20 |   60 |    0   20   12 |   *   * 120
```

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

.   . . .         | 600 |   24 |   12   12   12 |   4   6   4
------------------+-----+------+----------------+------------
x   . . .         |   2 | 7200 |    1    1    1 |   1   1   1
------------------+-----+------+----------------+------------
x5/4o . .         |   5 |    5 | 1440    *    * |   1   1   0
x   . o .   *a3*c |   3 |    3 |    * 2400    * |   1   0   1
x   . . o5/2*a    |   5 |    5 |    *    * 1440 |   0   1   1
------------------+-----+------+----------------+------------
x5/4o3o .   *a3*c ♦  20 |   60 |   12   20    0 | 120   *   *
x5/4o . o5/2*a    ♦  30 |   60 |   12    0   12 |   * 120   *
x   . o3o5/2*a3*c ♦  20 |   60 |    0   20   12 |   *   * 120
```

```x5/4o3o3/2o5/3*a3*c

.   . .   .         | 600 |   24 |   12   12   12 |   4   6   4
--------------------+-----+------+----------------+------------
x   . .   .         |   2 | 7200 |    1    1    1 |   1   1   1
--------------------+-----+------+----------------+------------
x5/4o .   .         |   5 |    5 | 1440    *    * |   1   1   0
x   . o   .   *a3*c |   3 |    3 |    * 2400    * |   1   0   1
x   . .   o5/3*a    |   5 |    5 |    *    * 1440 |   0   1   1
--------------------+-----+------+----------------+------------
x5/4o3o   .   *a3*c ♦  20 |   60 |   12   20    0 | 120   *   *
x5/4o .   o5/3*a    ♦  30 |   60 |   12    0   12 |   * 120   *
x   . o3/2o5/3*a3*c ♦  20 |   60 |    0   20   12 |   *   * 120
```

```x5/4o3/2o3o5/3*a3/2*c

.   .   . .           | 600 |   24 |   12   12   12 |   4   6   4
----------------------+-----+------+----------------+------------
x   .   . .           |   2 | 7200 |    1    1    1 |   1   1   1
----------------------+-----+------+----------------+------------
x5/4o   . .           |   5 |    5 | 1440    *    * |   1   1   0
x   .   o .   *a3/2*c |   3 |    3 |    * 2400    * |   1   0   1
x   .   . o5/3*a      |   5 |    5 |    *    * 1440 |   0   1   1
----------------------+-----+------+----------------+------------
x5/4o3/2o .   *a3/2*c ♦  20 |   60 |   12   20    0 | 120   *   *
x5/4o   . o5/3*a      ♦  30 |   60 |   12    0   12 |   * 120   *
x   .   o3o5/3*a3/2*c ♦  20 |   60 |    0   20   12 |   *   * 120
```

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

.   .   .   .           | 600 |   24 |   12   12   12 |   4   6   4
------------------------+-----+------+----------------+------------
x   .   .   .           |   2 | 7200 |    1    1    1 |   1   1   1
------------------------+-----+------+----------------+------------
x5/4o   .   .           |   5 |    5 | 1440    *    * |   1   1   0
x   .   o   .   *a3/2*c |   3 |    3 |    * 2400    * |   1   0   1
x   .   .   o5/2*a      |   5 |    5 |    *    * 1440 |   0   1   1
------------------------+-----+------+----------------+------------
x5/4o3/2o   .   *a3/2*c ♦  20 |   60 |   12   20    0 | 120   *   *
x5/4o   .   o5/2*a      ♦  30 |   60 |   12    0   12 |   * 120   *
x   .   o3/2o5/2*a3/2*c ♦  20 |   60 |    0   20   12 |   *   * 120
```