A Beautiful Math

A short film by Douglas Arnold and Johnathan Rogness of the University of Minnesota revealing the visual beauty of Moebius transformations in mathematics.

The video shows the four fundamental types of Moebius transformations (simple translations, dilations, rotations, inversions) and how complicated combinations of these transformations can be intuitively expressed in terms of the simple motion of a 3D sphere through which a light shines from a point source.

This is a beautiful and elegant example of how 3D visualizations can make something as complicated as combined Moebius transformations easier to understand and appreciate.

The full version is available here.