Acronym tid
TOCID symbol tD
Name truncated dodecahedron

` © ©`
Vertex figure [3,102]
Vertex layers
 Layer Symmetry Subsymmetries o3o5o o3o . o . o . o5o 1 o3x5x o3x .{3} first o . xedge first . x5x{10} first 2 o3F . x . F . o5F 3 x3U . F . U . o5U 4 F3F . Z . F . x5F 5 Z3x . U . Z . F5x 6 U3F . A . x . U5o 7a F3U . F . A . F5o 7b B . o 8 x3Z . x . B . x5xopposite {10} 9a F3F . F . A 9b B . o 10 U3x . A . x 11 F3o . U . Z 12 x3o .opposite {3} Z . F 13 F . U 14 x . F 15 o . xopposite edge
(F=ff, U=uf, Z=fff, A=ff.x(10), B=ff.sqrt(5))
General of army (is itself convex)
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Confer
Grünbaumian relatives:
2tid
variations:
a3b5c
External

As abstract polytope tid is isomorphic to quit gissid, thereby replacing decagons by decagrams.

Incidence matrix according to Dynkin symbol

```o3x5x

. . . | 60 |  2  1 |  1  2
------+----+-------+------
. x . |  2 | 60  * |  1  1
. . x |  2 |  * 30 |  0  2
------+----+-------+------
o3x . |  3 |  3  0 | 20  *
. x5x | 10 |  5  5 |  * 12
```

```o3/2x5x

.   . . | 60 |  2  1 |  1  2
--------+----+-------+------
.   x . |  2 | 60  * |  1  1
.   . x |  2 |  * 30 |  0  2
--------+----+-------+------
o3/2x . |  3 |  3  0 | 20  *
.   x5x | 10 |  5  5 |  * 12
```