Acronym giddatady Name great ditetrahedronary dishecatonicosachoron Cross sections ` ©` Circumradius sqrt(2) = 1.414214 General of army hi Colonel of regiment dattady Confer Grünbaumian relatives: datcathi Externallinks

As abstract polytope giddatady is isomorphic to dattady, thereby replacing pentagons by pentagrams, resp. doe by gissid and gidtid by sidtid. – As such giddatady is a lieutenant.

Incidence matrix according to Dynkin symbol

```o3o3o3x5/4*b

. . . .      | 600 |   12 |    6   12 |   4   4
-------------+-----+------+-----------+--------
. . . x      |   2 | 3600 |    1    2 |   1   2
-------------+-----+------+-----------+--------
. . o3x      |   3 |    3 | 1200    * |   0   2
. o . x5/4*b |   5 |    5 |    * 1440 |   1   1
-------------+-----+------+-----------+--------
o3o . x5/4*b ♦  20 |   30 |    0   12 | 120   *
. o3o3x5/4*b ♦  20 |   60 |   20   12 |   * 120
```

```o3o3o3/2x5*b

. . .   .    | 600 |   12 |    6   12 |   4   4
-------------+-----+------+-----------+--------
. . .   x    |   2 | 3600 |    1    2 |   1   2
-------------+-----+------+-----------+--------
. . o3/2x    |   3 |    3 | 1200    * |   0   2
. o .   x5*b |   5 |    5 |    * 1440 |   1   1
-------------+-----+------+-----------+--------
o3o .   x5*b ♦  20 |   30 |    0   12 | 120   *
. o3o3/2x5*b ♦  20 |   60 |   20   12 |   * 120
```

```o3o3/2o3x5*b

. .   . .    | 600 |   12 |    6   12 |   4   4
-------------+-----+------+-----------+--------
. .   . x    |   2 | 3600 |    1    2 |   1   2
-------------+-----+------+-----------+--------
. .   o3x    |   3 |    3 | 1200    * |   0   2
. o   . x5*b |   5 |    5 |    * 1440 |   1   1
-------------+-----+------+-----------+--------
o3o   . x5*b ♦  20 |   30 |    0   12 | 120   *
. o3/2o3x5*b ♦  20 |   60 |   20   12 |   * 120
```

```o3o3/2o3/2x5/4*b

. .   .   .      | 600 |   12 |    6   12 |   4   4
-----------------+-----+------+-----------+--------
. .   .   x      |   2 | 3600 |    1    2 |   1   2
-----------------+-----+------+-----------+--------
. .   o3/2x      |   3 |    3 | 1200    * |   0   2
. o   .   x5/4*b |   5 |    5 |    * 1440 |   1   1
-----------------+-----+------+-----------+--------
o3o   .   x5/4*b ♦  20 |   30 |    0   12 | 120   *
. o3/2o3/2x5/4*b ♦  20 |   60 |   20   12 |   * 120
```

```o3/2o3o3x5/4*b

.   . . .      | 600 |   12 |    6   12 |   4   4
---------------+-----+------+-----------+--------
.   . . x      |   2 | 3600 |    1    2 |   1   2
---------------+-----+------+-----------+--------
.   . o3x      |   3 |    3 | 1200    * |   0   2
.   o . x5/4*b |   5 |    5 |    * 1440 |   1   1
---------------+-----+------+-----------+--------
o3/2o . x5/4*b ♦  20 |   30 |    0   12 | 120   *
.   o3o3x5/4*b ♦  20 |   60 |   20   12 |   * 120
```

```o3/2o3o3/2x5*b

.   . .   .    | 600 |   12 |    6   12 |   4   4
---------------+-----+------+-----------+--------
.   . .   x    |   2 | 3600 |    1    2 |   1   2
---------------+-----+------+-----------+--------
.   . o3/2x    |   3 |    3 | 1200    * |   0   2
.   o .   x5*b |   5 |    5 |    * 1440 |   1   1
---------------+-----+------+-----------+--------
o3/2o .   x5*b ♦  20 |   30 |    0   12 | 120   *
.   o3o3/2x5*b ♦  20 |   60 |   20   12 |   * 120
```

```o3/2o3/2o3x5*b

.   .   . .    | 600 |   12 |    6   12 |   4   4
---------------+-----+------+-----------+--------
.   .   . x    |   2 | 3600 |    1    2 |   1   2
---------------+-----+------+-----------+--------
.   .   o3x    |   3 |    3 | 1200    * |   0   2
.   o   . x5*b |   5 |    5 |    * 1440 |   1   1
---------------+-----+------+-----------+--------
o3/2o   . x5*b ♦  20 |   30 |    0   12 | 120   *
.   o3/2o3x5*b ♦  20 |   60 |   20   12 |   * 120
```

```o3/2o3/2o3/2x5/4*b

.   .   .   .      | 600 |   12 |    6   12 |   4   4
-------------------+-----+------+-----------+--------
.   .   .   x      |   2 | 3600 |    1    2 |   1   2
-------------------+-----+------+-----------+--------
.   .   o3/2x      |   3 |    3 | 1200    * |   0   2
.   o   .   x5/4*b |   5 |    5 |    * 1440 |   1   1
-------------------+-----+------+-----------+--------
o3/2o   .   x5/4*b ♦  20 |   30 |    0   12 | 120   *
.   o3/2o3/2x5/4*b ♦  20 |   60 |   20   12 |   * 120
```