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This manuscript is an attempt to collect and systematize all cardinal scientific results of geometrical design of nondegenerate developable surfaces with a cuspidal edge. Information on the application of thin-walled developable structures and developable surfaces has also been presented. Wide choices of design methods of developable surfaces provide not only necessary shapes and special properties but they also prove to be convenient to apply. This surface is actively applied for design of ship hulls, in agricultural machine building, in aircraft construction, in pipe design for making the diverse transitions, in road building, in cartography and in civil engineering.

Design of developable surfaces and the application of thin-walled developable structures