Truncated Icosahedron

The truncated icosahedron is an Archimedean solid, one of thirteen convex polyhedra whose faces are two or more types of regular polygon arranged identically around every vertex, formed by cutting off, or truncating, the twelve vertices of a regular icosahedron. It has twelve regular pentagonal faces and twenty regular hexagonal faces, sixty vertices and ninety edges, with two hexagons and one pentagon meeting at each vertex. It is most widely known as the standard shape of the classic soccer ball design and, in a related form built from carbon atoms rather than flat polygons, as the shape of the buckminsterfullerene molecule, the carbon-60 fullerene discovered in 1985 and named for its resemblance to the geodesic domes of the architect Buckminster Fuller.