  The study of Skyrmions predicts that there is an icosahedrally symmetric
charge seventeen SU(2) Yang-Mills instanton in which the topological charge
density, for fixed Euclidean time, is localized on the edges of the truncated
icosahedron of the buckyball. In this paper the existence of such an instanton
is proved by explicit construction of the associated ADHM data. A topological
charge density isosurface is displayed which verifies the buckyball structure
of the instanton.
