Abstract: By providing a single wrapping composition capable of wetting and conditioning unbleached hair fibers while simultaneously protecting, equalizing and conditioning bleached hair fiber so that both the bleached and unbleached hair fibers are capable of responsive interaction with a waving or processing lotion, a unique permanent waving system is achieved which allows a head of hair having both bleached and unbleached hair fiber inseparably mixed, to be permanently waved in a single, uniform application and treatment. In order to assure that the bleached hair fibers will be capable of reacting with the waving or processing lotion, the wrapping composition should comprise an aqueous solution incorporating a hair substantive compound containing a lipoidal alkyl chain having ten or more carbon atoms and a disulfide derivative of a mercaptan with a substituent group. Preferably, the respective chemical compounds are those containing a quaternary ammonium group and a dithio derivation of a thioglycolate.