Polyhedron with sixty-two faces: thirty squares, twenty regular hexagons and twelve regular decagons. It has one hundred eighty edges and one hundred twenty 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 truncated icosidodecahedron with edge length $a$ is given by the formula:

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