Evaluate

WOLFRAM|DEMONSTRATIONS PROJECT

Curvature of the Projection of a Trefoil Knot

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2

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1

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curvature

curvature: min = 0.28, max = 1.

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-1

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trefoil

The trefoil knot is the simplest example of a nontrivial knot. This Demonstration shows the projection of a two-parameter version of the trefoil knot and plots the minimum (in blue) and maximum (in red) curvature points along the knot. The maximum and minimum osculating circles (also known as the kissing circles or the circles of curvature) are drawn as well.