The pentakis icosidodecahedron is a convex polyhedron with 80 triangular faces, 120 edges, and 42 vertices. It a dual of the Truncated Rhombic Triacontahedron.

Made by subdividing the pentagon faces of an icosidodecahedron into triangles then projecting out to form pentagonal pyramids on these faces.

This polyhedron has the same symmetry as a 2 frequency icosahedron.