Torsion of a curve

For a unit-speed curve with nonzero curvature, torsion is

τ = - B^{'} \cdot N

, measuring rotation of the osculating plane.

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Torsion of a curve by

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Torsion is a measure of how a curve twists out of the plane formed by its tangent and normal vectors. In mathematical terms, torsion is defined for space curves, which are curves that exist in three-dimensional space.

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