bgcolor=#e7dcc3 colspan=2 | Expanded icosidodecahedron |
---|---|
Schläfli symbol | rr \begin{Bmatrix}5\ 3\end{Bmatrix} |
Conway notation | edaD = aaaD |
Faces | 122: 20 60 12 30 rhombs |
Edges | 240 |
Vertices | 120 |
Symmetry group | Ih, [5,3], (*532) order 120 |
Rotation group | I, [5,3]+, (532), order 60 |
Dual polyhedron | Deltoidal hecatonicosahedron |
Properties | convex |
Net |
It can also be constructed as a rectified rhombicosidodecahedron.
The expansion operation from the rhombic triacontahedron can be seen in this animation:
This polyhedron can be dissected into a central rhombic triacontahedron surrounded by: 30 rhombic prisms, 20 tetrahedra, 12 pentagonal pyramids, 60 triangular prisms.
If the central rhombic triacontahedron and the 30 rhombic prisms are removed, you can create a toroidal polyhedron with all regular polygon faces.