# Truncated rhombicosidodecahedron

Truncated rhombicosidodecahedron
Schläfli symbol trr{5,3} = ${\displaystyle tr{\begin{Bmatrix}5\\3\end{Bmatrix}}}$
Faces 122:
60 {4}
20 {6}
30 {8}
12 {10}
Edges 360
Vertices 240
Symmetry group Ih, [5,3], (*532) order 120
Rotation group I, [5,3]+, (532), order 60
Dual polyhedron Disdyakis hexecontahedron
Properties convex, zonohedron

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.[1]

## Related polyhedra

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

 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)