A composition, comprising, in an appropriate medium, at least one polymer with a highly specific ordered structure is disclosed. These compositions find a specific application in the field of make-up and are capable of being applied to keratinous fibers, in particular to the nails, eyelashes, eyebrows and hair. In particular, these compositions can make it possible to obtain a film which exhibits good resistance to chipping, to impacts, to rubbing movements, to scratches and/or to pressing actions.