The Profile of A Thin Piece of Paper with Both Ends Fixed

In this manuscript, utilizing the controlled variable method, the three different profiles of thin paper with fixed ends are investigated. The results indicate that the specific profile of the paper depends on the length of the paper and the fixed distance between the sheets. Meanwhile, the mass of the paper has little effect on its profiles and so it can be ignored. Also, the symmetry-broken phenomenon about the thin paper is observed. Finally, according to the Principle of Least Action, it proposes a simple model to simulate the thin paper profiles