The present invention relates to a novel method for synthesizing a composition of polymers, copolymers, terpolymers and tetrapolymers, and to the use thereof, said composition being made from: cyclodextrins, in particular α-cyclodextrin, β-cyclodextrin, γ-cyclodextrin, the derivatives or corresponding mixtures thereof, and/or calix[n]arene(s) and/or of calix[n]arene derivative(s) and/or a mixture of two or more different calix[n]arenes selected from calix[n]arenes (n=4-20) and/or the derivatives thereof, and to the uses thereof. A method was developed on the basis of direct-melt polycondensation. The invention can be used in the pharmaceutical, human medicine, veterinary medicine, chemistry, separation chemistry, environmental, electronics, biological, diagnostics, phytosanitation, medicinal food, agri-food, and cosmetics fields, and in the nutraceutical field and in the field of molecular imprints (MIP).