Acronym tigid TOCID symbol tE Name truncated great dodecahedron ` © ©` Circumradius sqrt[(17+5 sqrt(5))/8] = 1.876844 Vertex figure [5/2,102] General of army f3x5o Colonel of regiment (is itself locally convex – no other uniform polyhedral members) Dihedral angles between {5/2} and {10}:   arccos(-1/sqrt(5)) = 116.565051° between {10} and {10}:   arccos(1/sqrt(5)) = 63.434949° Confer Grünbaumian relatives: 2tigid   variations: o5/2f5x   decompositions: gad || tigid Externallinks

As abstract polytope tigid is isomorphic to quit sissid, thereby replacing pentagrams by pentagons and decagons by decagrams.

Note that tigid can be thought of as the external blend of 1 gad + 12 pecues + 12 stappies. This decomposition is described as the degenerate segmentochoron xx5ox5/2oo&#xt.

Incidence matrix according to Dynkin symbol

```o5/2x5x

.   . . | 60 |  2  1 |  1  2
--------+----+-------+------
.   x . |  2 | 60  * |  1  1
.   . x |  2 |  * 30 |  0  2
--------+----+-------+------
o5/2x . |  5 |  5  0 | 12  *
.   x5x | 10 |  5  5 |  * 12

snubbed forms: o5/2β5x, o5/2x5β, o5/2β5β
```

```o5/3x5x

.   . . | 60 |  2  1 |  1  2
--------+----+-------+------
.   x . |  2 | 60  * |  1  1
.   . x |  2 |  * 30 |  0  2
--------+----+-------+------
o5/3x . |  5 |  5  0 | 12  *
.   x5x | 10 |  5  5 |  * 12
```