Mechanism to Generate a Hyperbolic Paraboloid

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This Demonstration illustrates a mechanical device that constrains a point to move on the surface of a hyperbolic paraboloid.

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A point on the surface of a hyperbolic paraboloid is equidistant to two skew perpendicular lines and (shown as bars) that are at a distance of 1/4 from the center. The red cylinders represent telescoping bars attached at right angles to and with bearings that can slide or rotate on and . The ends of the telescopic bars meet in a blue point that moves over the surface.

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Contributed by: Ferenc Holló Szabó and Sándor Kabai (April 2012)
Open content licensed under CC BY-NC-SA


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Reference

[1] Wikipedia. "Pringles." (Apr 20, 2012) en.wikipedia.org/wiki/Pringles.



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