Polyhedron with thirty two faces: twenty equilateral triangles and twelve regular pentagons. It has sixty edges and thirty vertices. It is a Archimedean solid as it is a convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are composed of only one type of polygon) and excluding the prisms and antiprisms.

The surface area of a icosidodecahedron with edge length a is given by the formula:

The volume of a icosidodecahedron with edge length a is given by the formula: