Expanded icosidodecahedron
# Expanded icosidodecahedron

Expanded icosidodecahedron :

| Schläfli symbol | rr${\begin{Bmatrix}5\\3\end{Bmatrix}}$ = rrr{5,3} |
| - | - |
| Conway notation | edaD = aaaD |
| Faces | 122: 20 {3} 60 {4} 12 {5} 30 rhombs |
| Edges | 240 |
| Vertices | 120 |
| Symmetry group | $I_h,$ [5,3], (*532) order 120 |
| Rotation group | I, $[5,3]^+,$ (532), order 60 |
| Dual polyhedron | Deltoidal hecatonicosahedron |
| Properties | convex |
| Net ||

The expanded icosidodecahedron is a polyhedron, constructed as an expanded icosidodecahedron. It has 122 faces: 20 triangles, 60 squares, 12 pentagons, and 30 rhombs. The 120 vertices exist at two sets of 60, with a slightly different distance from its center.

It can also be constructed as a rectified rhombicosidodecahedron.

## Other names

* Expanded rhombic triacontahedron
* Rectified rhombicosidodecahedron
* Rectified small rhombicosidodecahedron
* Rhombirhombicosidodecahedron

## Expansion

The expansion operation from the rhombic triacontahedron can be seen in this animation:

## Dissection

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.

## Related polyhedra

| Name | Dodeca- hedron | Icosidodeca- hedron | Rhomb- icosidodeca- hedron | Expanded icosidodeca- hedron |
| - | - | - | - | - |
| Coxeter | D | ID | rID | rrID |
| Conway | D | aD | aaD = eD | aaaD = eaD |
| Image | | | | |
| Conway | dD = I | daD = jD | deD = oD | deaD = oaD |
| Dual | | | | |
