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Hyperboloid

Mathematics

★Exhibit Content: Hyperboloid ★Interaction: Mechanical Interaction ★Operation: Enter the device, rotate the turntable, and observe the changing state of the hyperboloid. ★Exhibit Description: The exhibit demonstrates the structural principle of a hyperboloid through the process of a cylindrical shape woven from elastic ropes deforming into a single-sheet hyperboloid. The exhibit uses multiple elastic ropes to weave a cylindrical frame, with the upper ends of the elastic ropes fixed and the lower ends connected to a bottom ring-shaped turntable, forming a cylindrical elastic rope net. Visitors can enter the device and drive the bottom ring-shaped turntable to rotate by turning the turntable, causing the cylindrical rope net to deform into a hyperboloid structure while keeping each rope straight. ★Scientific Principle: A hyperboloid is a surface generated by rotating a hyperbola around its axis of symmetry. A hyperboloid is a quadric surface, divided into single-sheet hyperboloid, double-sheet hyperboloid, and hyperboloid of revolution. Hyperboloids not only have a beautiful appearance but also good stability, and are widely used in the construction industry. In reality, the cooling tower structures of many power plants are hyperboloids.

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