Mobius transformation: article on Science News, link to video here

On Science News Online,
"A Video That's Worth a Million Words
Award-winning video reveals the simplicity and beauty of an abstract mathematical tool."

"... a picture can tame the mad monster of abstraction, and sometimes, a video can do so even better. Now, a pair of mathematicians has created a video (see https://www.youtube.com/watch?v=JX3VmDgiFnY) that shows how to visualize and understand Möbius transformations, which are a fundamental and highly abstract mathematical tool. The new video, "Möbius Transformations Revealed," has become an Internet sensation, with 60,000 hits on YouTube so far. It also won honorable mention in the Science 2007 Science and Engineering Visualization challenge." (from the article by Julie J. Rehmeyer)