The pentakis icosidodecahedron is the dual of the chamfered dodecahedron. It contains 42 vertices, 120 edges, and 80 faces. The canonical version has two distinct edge lengths and 80 triangular faces of which 20 are equilateral triangles and 60 isosceles triangles.
Subsets of its vertices form a regular icosahedron, icosidodecahedron, and octahedron 5-compound.
Its skeleton is the pentakis icosidodecahedral graph.