Geometric mechanics of curved crease origami.

  title={Geometric mechanics of curved crease origami.},
  author={Marcelo A. Dias and Levi H. Dudte and Lakshminarayanan Mahadevan and Christian Santangelo},
  journal={Physical review letters},
  volume={109 11},
Folding a sheet of paper along a curve can lead to structures seen in decorative art and utilitarian packing boxes. Here we present a theory for the simplest such structure: an annular circular strip that is folded along a central circular curve to form a three-dimensional buckled structure driven by geometrical frustration. We quantify this shape in terms of the radius of the circle, the dihedral angle of the fold, and the mechanical properties of the sheet of paper and the fold itself. When… 
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