# The Shortest Distance to a Trefoil Knot

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This Demonstration finds the point on a trefoil knot that is the closest to a given point in 3D. Trefoils are the simplest nontrivial knot, and one is used here as an example of a space curve. The Slider2D on the left controls the Locator in the - plane, while the elevation ( coordinate) of the point is controlled by the VerticalSlider on the far right.

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Contributed by: Machi Zawidzki (November 2012)

Open content licensed under CC BY-NC-SA

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detailSectionParagraph## Permanent Citation

"The Shortest Distance to a Trefoil Knot"

http://demonstrations.wolfram.com/TheShortestDistanceToATrefoilKnot/

Wolfram Demonstrations Project

Published: November 28 2012