Strategy for cloaking of twisted domains

We describe a strategy to cloak twisted domains where, in contrast to the usual cloaks, the outer domain does not necessarily need to possess a direct connection to the point of inflation. The strategy consists of two steps. At first, a transformation is applied to untwist the geometry. Then, a second transformation is applied to create a point-transformed cloak with vanishing scattering cross section. As an extreme, yet analytical example, we construct a cloak having the shape of a spiral. Full-wave simulations confirm that electromagnetic waves impinging on the spiral-type cloak are bent around the structure with no discernible scattering.