The foldable bi-foldable rectangular structure includes:A mesh structure (10) foldable forming a support;A foldable holding structure (20) lying in a plane parallel to the mesh structure (10) and maintaining said mesh structure (10) in all the folding positions (POS1, POS2) of the mesh structure,said mesh structure (10) being supported on the holding structure (20) by means of a plurality of support points (37), the folding of the mesh structure (10) and the folding of the holding structure being synchronized and falling within the rectangular shape of the bi-structure.
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