Moebius transformations

This is an interesting video courtesy of chronicle.com. (It starts to do transformations about 30-40 seconds into it.)

“It’s hard to explain Möbius transformations with a flat illustration in a textbook. But two professors at the University of Minnesota found that a 3-D animation lets them show the mathematical concept in a way that seems to have sparked the imaginations of a wide range of viewers. The video has been watched more than one million times since it was put on YouTube.”