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The self-dual solution to lattice Euclidean gravity is constructed. Incontrast to the well known Eguchi-Hanson solution to continuous EuclideanGravity, the lattice solution is asymptotically {\it{globally}} Euclidean,i.e., the boundary of the space as $r\longrightarrow\infty$ is $S^3=SU(2)$.

A Note on the Possible Existence of an Instanton-like Self-Dual Solution to Lattice Euclidean Gravity