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What role does developable surface play in mathematical research?
The developable surface is an important part of the local differential geometric surface theory, and the research and application of the related properties of the developable surface is very helpful to solve a series of mathematical problems. A developable surface is a surface whose Gaussian curvature at every point is zero. There is a general theorem that a surface with constant Gaussian curvature can be transformed into a surface with constant Gaussian curvature by bending (not stretching, shrinking, wrinkling or tearing).