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Built-in Mathematica Symbol

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ShearingTransform

ShearingTransform[

, v, n]
gives a TransformationFunction that represents a shear by

radians along the direction of the vector v, normal to the vector n, and keeping the origin fixed.

ShearingTransform[

, v, n, p]
gives a shear that keeps the point p fixed, rather than the origin.

MORE INFORMATION

ShearingTransform gives a TransformationFunction which can be applied to vectors.

ShearingTransform works in any number of dimensions, and always gives area- or volume-preserving transformations.

In 2D, ShearingTransform turns rectangles into parallelograms. ShearingTransform[, {1, 0}, {0, 1}] effectively represents slanting by angle to the right.

In 3D, ShearingTransform does the analog of shearing a deck of cards by angle in the direction v, with the cards oriented so as to have normal vector n, and the card that goes through the point p kept fixed.

Basic Examples (2)

Shearing by

radians along the

axis:

Apply a 30° shearing along the

axis to the unit rectangle:

Applications (2)

Properties & Relations (3)

Possible Issues (3)

Neat Examples (1)

ShearingMatrix GeometricTransformation TransformationFunction AffineTransform

Geometric Transforms

Graphics Transformations

Demonstrations with ShearingTransform (Wolfram Demonstrations Project)

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