Truncated rhombicosidodecahedron
# Truncated rhombicosidodecahedron

Truncated rhombicosidodecahedron :

| Schläfli symbol | trr{5,3} = $tr{\begin{Bmatrix}5\\3\end{Bmatrix}}$ |
| - | - |
| Conway notation | taD = baD |
| Faces | 122: 60 {4} 20 {6} 30 {8} 12 {10} |
| Edges | 360 |
| Vertices | 240 |
| Symmetry group | $I_h,$ [5,3], (*532) order 120 |
| Rotation group | I, $[5,3]^+,$ (532), order 60 |
| Dual polyhedron | Disdyakis hexecontahedron |
| Properties | convex |

In geometry, the truncated rhombicosidodecahedron is a polyhedron, constructed as a truncated rhombicosidodecahedron. It has 122 faces: 12 decagons, 30 octagons, 20 hexagons, and 60 squares.

## Other names

* Truncated small rhombicosidodecahedron
* Beveled icosidodecahedron

## Zonohedron

As a zonohedron, it can be constructed with all but 30 octagons as regular polygons. It is 2-uniform, with 2 sets of 120 vertices existing on two distances from its center.

This polyhedron represents the Minkowski sum of a truncated icosidodecahedron, and a rhombic triacontahedron.

## Related polyhedra

The truncated icosidodecahedron is similar, with all regular faces, and 4.6.10 vertex figure. Also see the truncated rhombirhombicosidodecahedron.

| truncated icosidodecahedron | Truncated rhombicosidodecahedron |
| - | - |
| 4.6.10 | 4.8.10 and 4.6.8 |

The truncated rhombicosidodecahedron can be seen in sequence of rectification and truncation operations from the icosidodecahedron. A further alternation step leads to the snub rhombicosidodecahedron.

| Name | Icosidodeca- hedron | Rhomb- icosidodeca- hedron | Truncated rhomb- icosidodeca- hedron | Snub rhomb- icosidodeca- hedron |
| - | - | - | - | - |
| Coxeter | ID (rD) | rID (rrD) | trID (trrD) | srID (htrrD) |
| Conway | aD | aaD = eD | taaD = baD | saD |
| Image | | | | |
| Conway | jD | oD | maD | gaD |
| Dual | | | | |
