| Icosidodecahedron | |
|---|---|
 | |
| Type | Archimedean solid Uniform polyhedron Quasiregular polyhedron |
| Faces | 32 |
| Edges | 60 |
| Vertices | 30 |
| Symmetry group | Icosahedral symmetry |
| Dihedral angle (degrees) | 142.62° |
| Dual polyhedron | Rhombic triacontahedron |
| Properties | convex |
| Vertex figure | |
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| Net | |
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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.