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BUILT-IN MATHEMATICA SYMBOL
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.
Details
- 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.
Examplesopen all
Basic Examples (3)
Shearing by radians along the 
axis:
| In[1]:= |
| Out[1]= |  |
Apply a 30° shearing along the 
axis to the unit rectangle:
| In[1]:= |
| Out[1]= |  |
Apply a shearing transform in the 
plane:
| In[1]:= |
| In[2]:= |
| Out[2]= | Play Animation ▪ |
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