3D Extrusion Using the Frenet-Serret System

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This Demonstration illustrates the conversion of a parametrized three-dimensional space curve into a three-dimensional surface.

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This can be done by using the built-in Mathematica command FrenetSerretSystem to extract the normal and binormal unit vectors and of the space curve.

The one-variable parametric equation of the space curve can be combined with the polar equation of the cross section .

The result is the two-variable parametric equation of a surface: .

In this Demonstration, a parametric space curve is defined, with the parameters determining the shape of the curve.

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Contributed by: Erik Mahieu (November 2017)
Open content licensed under CC BY-NC-SA


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