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Milton, Guy Bouchitt\\'e, Ornella Mattei, Pierre Seppecher","submitted_at":"2018-10-29T21:37:48Z","abstract_excerpt":"In many applications of Structural Engineering the following question arises: given a set of forces $\\mathbf{f}_1,\\mathbf{f}_2,\\dots,\\mathbf{f}_N$ applied at prescribed points $\\mathbf{x}_1,\\mathbf{x}_2,\\dots,\\mathbf{x}_N$, under what constraints on the forces does there exist a truss structure (or wire web) with all elements under tension that supports these forces? Here we provide answer to such a question for any configuration of the terminal points $\\mathbf{x}_1,\\mathbf{x}_2,\\dots,\\mathbf{x}_N$ in the two- and three-dimensional case. 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