Peptidomimetics containing the alpha-peptidosulfonamide, the beta-peptidosulfonamide, or the alpha,beta-peptidosulfonamide skeleton, which consists of two N-S linked sulfonylalkanamides: 1-amino-N-(methanesulfonylmethyl)methanesulfonamide (alpha-peptidosulfonamide), 1-amino-N-(ethanesulfonylmethyl)ethanesulfonamide (beta-peptidosulfonamide), and 1-amino-N-(methanesulfonylmethyl)ethanesulfonamide (alpha,beta-peptidosulfonamide).