Created by Douglas Arnold and Jonathan Rogness of the Institute for Mathematics and its Applications at the University of Minnesota, the video “ Moebius Transformations Revealed” explores projections of Moebius transformations as a series of simple motions on a sphere.
The soundtrack is from Schumann’s Kinderscenen, Op. 15, I, and is performed by Macalester College, St. Paul, MN professor Donald Betts and distributed by Musopen.
This YouTube video has been viewed by more than 1,007,486 people.
One comment calls this visualization a “Very nice intro to some non-trivial mathematics”.
Beautiful. Bravo.
(See also: http://www.youtube.com/watch?v=JX3VmDgiFnY)
(See also: QuickTime high resolution version)
(See also: http://www.ima.umn.edu/~arnold/moebius/)
(See also: http://www.ima.umn.edu/)
(See also: http://minnesota.publicradio.org/display/web/2007/11/28/math/)
(Hear also: NPR interview in RealPlayer)

