Icosidodecahedron

Icosidodecahedron
TypeArchimedean solid
Uniform polyhedron
Quasiregular polyhedron
Faces32
Edges60
Vertices30
Symmetry groupIcosahedral symmetry
Dihedral angle (degrees)142.62°
Dual polyhedronRhombic triacontahedron
Propertiesconvex
Vertex figure
Net
3D model of an icosidodecahedron

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.