Polyhedron with sixty two faces: twenty equilateral triangles, thirty squares and twelve regular pentagons. It has one hundred twenty edges and sixty 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 rhombicosidodecahedron with edge length a is given by the formula:

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