bgcolor=#e7dcc3 colspan=2 | Truncated rhombicosidodecahedron | |
---|---|---|
Schläfli symbol | trr = tr\begin{Bmatrix}5\ 3\end{Bmatrix} | |
Conway notation | taD = baD | |
Faces | 122: 60 20 30 12 | |
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 |
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]
The truncated icosidodecahedron is similar, with all regular faces, and 4.6.10 vertex figure. Also see the truncated rhombirhombicosidodecahedron.
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.