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math.DG2020
Propagation of curved folding: The folded annulus with multiple creases exists
Leonardo Alese
In this paper we consider developable surfaces which are isometric to planar domains and which are piecewise differentiable, exhibiting folds along curves. The paper revolves aroun…
math.DG2020
Affine subspaces of curvature functions from closed planar curves
Leonardo Alese
Given a pair of real functions , we study the conditions they must satisfy for to be the curvature in the arc-length of a closed planar curve for all real . Severa…
math.DG2020
Closing curves by rearranging arcs
Leonardo Alese
In this paper we show how, under surprisingly weak assumptions, one can split a planar curve into three arcs and rearrange them (matching tangent directions) to obtain a closed cur…