ShearingMatrix

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

DetailsDetails

  • 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[θ,{1,0},{0,1}] effectively slants by angle θ to the right.
  • In 3D, ShearingMatrix does the analog of shearing a deck of cards by angle θ in the direction v, with the cards being oriented so as to have normal vector n.
Introduced in 2007
(6.0)