We construct eight-dimensional gravitational instantons by solving appropri
ate self-duality equations for the spin-connection. The particular gravitat
ional instanton we present has Spin(7) holonomy and, in a sense, it is the
eight-dimensional analog of the Eguchi-Hanson 4D space. It has a removable
bolt singularity which is topologically S-4 and its boundary at infinity is
the squashed S-7. We also lift our solutions to ten and eleven dimensions
and construct fundamental string and membrane configurations that preserve
1/16 of the original supersymmetries. (C) 1998 Elsevier Science B.V. All ri
ghts reserved.