Abstract: The properties of metamaterials are derived both from the inherent properties of their constituent materials and from the geometrical arrangement of those materials. Metamaterials may be stacked or otherwise manipulated to transform substantially monochromatic signal into a second signal having a desired amplitude and phase. Metamaterials may be used with acoustic devices to create haptic feedback with desired properties or to transform the shape of certain devices. Metamaterials may be used in rotating devices with openings that transform a monochromatic signal into a non-monochromatic signal.