One step in solving the Neumann problem in a domain via inverting layer potentials on its boundary is to show that these boundary operators are onto. This talk concerns a method continuity from the boundary of a polyhedron in 4-dimensions to a Lipschitz graph boundary on which the result is known. The talk will start with a brief discussion of nongraph boundaries, then proceed with the method of continuity, and end with the surprising fact that this straightforward formulation of the method of continuity must fail in 6-dimensions.