A permanent magnet rotor arrangement is provided. Methods, devices and device components of the present invention are capable of generating a wide range of flexible electronic and optoelectronic devices and arrays of devices on substrates comprising polymeric materials. The virtual assistant has one or more anthropomorphic characteristics and interacts with the user via at least the touch-screen display to facilitate user access to one or more vehicle features. Applications of this technology may be useful in wearable personal electric generators as well as in noise damping materialsdevices, which not only absorb and dissipate sound, but use it to generate electric power. Portions of the actual iteration space which do not fill the cut portions of the virtual iteration space or which fall outside these cuts which have been evenly divided by the unroll factor form a residue which is calculated.