In the world of geometry, the boundary between straight and curved is sometimes blurrier than imagined. The hyperbola, as a classic conic section, possesses a counterintuitive geometric property: it is a surface composed of straight lines. This characteristic, known as a "ruled surface," means that a smooth hyperboloid can be generated by sweeping a straight line through two curves in space. Our "Hyperbolic Slot" exhibit is precisely based on this exquisite principle, allowing visitors to personally verify this mathematical marvel. This cubic exhibit, measuring 3 meters in length, width, and height, consists of two parts: an operable slot table and a large dynamic hyperboloid model. When you turn the handle or adjust the acrylic plate angle, you'll find that a straight metal rod can always perfectly pass through the curved hyperbolic slot. This seemingly paradoxical phenomenon is direct proof of the hyperbola as a ruled surface. On the touchscreen, you can also control the turntable.
