Great Dirhombicosidodecahedron ("Miller's Monster")

The Great Dirhombicosidodecahedron, also known as Miller's Monster, is a highly symmetrical polyhedron with 120 triangular faces, 160 edges, and 60 vertices. It is one of the many non-convex polyhedra that cannot be constructed using the traditional methods of paper folding or linear perspective. The polyhedron has a unique property where its surface area is exactly 2π times its volume. The website software3d.com provides a Java applet that allows users to interact with and visualize the Great Dirhombicosidodecahedron.