A magnetically-responsive surface structure comprises an array of hybrid microstructures on a substrate, where each hybrid microstructure comprises an elastomeric micropillar attached to the substrate and a rigid tile attached to the elastomeric micropillar. The rigid tiles collectively define a discontinuous, changeable surface. The hybrid microstructures further comprise a ferromagnetic material. The elastomeric micropillars are deflectable under a magnetic field so as to alter an orientation of the rigid tiles, thereby allowing a characteristic of the discontinuous, changeable surface to be manipulated.