ShearingMatrix[, v, n]
gives the matrix corresponding to shearing by radians along the direction of the vector v, and normal to the vector n.


  • ShearingMatrix gives matrices corresponding to shearing with the origin kept fixed.
  • ShearingMatrix gives matrices with determinant 1, corresponding to area- or volume-preserving transformations.
  • In 2D, ShearingMatrix turns rectangles into parallelograms. ShearingMatrix[, {1, 0}, {0, 1}] effectively slants by angle to the right.
  • In 3D, ShearingMatrix does the analog of shearing a deck of cards by angle in the direction v, with the cards being oriented so as to have normal vector n.
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