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A thin structure is a three-dimensional object with one or two vanishing dimensions, such as a thin film, a plate, a shell, a beam, a capillary vessel, a network, etc. The response of a beam to stresses, the behavior of a tire on a wet road, the heat diffusion by a radiator, the flow of a fluid in connected pipes, as well as magnetism phenomena in thin films are just examples of questions concerning thin structures. The aim of the "Sixth workshop on thin structures" (Naples, September 7-9, 2023) is to bring together experts from different horizons, in order to present and discuss recent results concerning mathematical models of thin structures, as well as numerical analysis methods for the validation of solutions and their implementation.