Icosidodecahedron
| Icosidodecahedron | |
|---|---|
| Type | Archimedean solid Uniform polyhedron Quasiregular polyhedron |
| Faces | 32 |
| Edges | 60 |
| Vertices | 30 |
| Symmetry group | Icosahedral symmetry Ih |
| Dihedral angle (degrees) | 142.62° |
| Dual polyhedron | Rhombic triacontahedron |
| Properties | convex |
| Vertex figure | |
| Net | |
In geometry, an icosidodecahedron or pentagonal gyrobirotunda is a polyhedron with twenty (icosi-) triangular faces and twelve (dodeca-) pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon. As such, it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.