Icosidodecahedron

Icosidodecahedron
Type	Archimedean solid Uniform polyhedron Quasiregular polyhedron
Faces	32
Edges	60
Vertices	30
Symmetry group	Icosahedral symmetry ${\displaystyle \mathrm {I} _{\mathrm {h} }}$
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.