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Abstract

The majority of all curved surfaces cannot be developed into a plane. “In the neighborhood of a surface point,” doubly curved surfaces can bend in one direction, lying on one side of the tangent, as they do with spheres, or being bent in two directions and lying locally on both sides of the tangent plane, as is the case with saddle surfaces.

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Glaeser, G. (2020). Prototypes. In: Geometry and its Applications in Arts, Nature and Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-61398-3_6

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