A demonstration showing that shearing a 2D object does not change its area. ☛ Use the slider to shear the two squares (they wrap around, filling each other's empty space)
This visual proof of the Pythagorean theorem uses shearing very cleverly: https://en.wikipedia.org/wiki/File:Visual_proof_of_the_Pythagorean_theorem_by_area-preserving_shearing.gif Learn more here: https://en.wikipedia.org/wiki/Shear_matrix