Acronym did TOCID symbol ED* Name dodecadodecahedron,great dodecadodecahedron ` © ©` Circumradius 1 Vertex figure [(5/2,5)2] General of army id Colonel of regiment (is itself locally convex – other uniform polyhedral members: gidhei   sidhei – other edge facetings) Dihedral angles between {5} and {5/2}:   arccos(-1/sqrt(5)) = 116.565051° Confer Grünbaumian relatives: 2did   did+sidhei+gidhei   decompositions: pt || did Externallinks

As abstract polytope did is automorph, thereby interchanging the roles of pentagons and pentagrams. As such it could be seen to be a non-regular realization of the regular abstract polyhedron {5,4}6 (where the index just denotes the size of the corresponding Petrie polygon), an according mod-wrap of peat.

Note that did can be thought of as the external blend of 12 peppies + 12 stappies. This decomposition is described as the degenerate segmentochoron oo5ox5/2oo&#x.

Incidence matrix according to Dynkin symbol

```o5/2x5o

.   . . | 30 |  4 |  2  2
--------+----+----+------
.   x . |  2 | 60 |  1  1
--------+----+----+------
o5/2x . |  5 |  5 | 12  *
.   x5o |  5 |  5 |  * 12

snubbed forms: o5/2β5o
```

```o5/3x5o

.   . . | 30 |  4 |  2  2
--------+----+----+------
.   x . |  2 | 60 |  1  1
--------+----+----+------
o5/3x . |  5 |  5 | 12  *
.   x5o |  5 |  5 |  * 12
```

```o5/4x5/2o

.   .   . | 30 |  4 |  2  2
----------+----+----+------
.   x   . |  2 | 60 |  1  1
----------+----+----+------
o5/4x   . |  5 |  5 | 12  *
.   x5/2o |  5 |  5 |  * 12
```

```o5/4x5/3o

.   .   . | 30 |  4 |  2  2
----------+----+----+------
.   x   . |  2 | 60 |  1  1
----------+----+----+------
o5/4x   . |  5 |  5 | 12  *
.   x5/3o |  5 |  5 |  * 12
```