Remarks on Flexible Quad Meshes
نویسندگان
چکیده
A quad mesh is a discrete surface consisting of planar quadrangles. There are some examples where this polyhedral structure consisting of rigid faces, but variable dihedral angles, is continuously flexible, e.g., Miura-ori, Voss surfaces or Kokotsakis’ example which starts from a regular tiling of the plane by congruent convex quadrangles. The classification of all flexible quadrangular meshes is an open problem. However, the determination of all flexible meshes of 3 3 quadrangles, the socalled Kokotsakis meshes, is close to be solved. The goal of this paper is to bring insight into the geometry behind some flexible examples and to analyze their flexions. The treated problems are also related to paper folding.
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