A short film depicting the beauty of Moebius Transformations in mathematics. The movie shows how moving to a higher dimension can make the transformations easier to understand.
The full version is available at http://www.ima.umn.edu/~arnold/moebius/
The background music (from Schumann's Kinderszenen, Op. 15, I) is performed by Donald Betts and available at http://www.musopen.com.