This short video is simply lovely. It illustrates (with perfectly chosen music) an important set of mathematical transformations dear to many of us, the MÃ¶bius transformations. It is by Douglas Arnold and Jonathan Rogness of the University of Minnesota. It’s a pleasure to watch, whether you work in a mathematically related field or not. Try it:
Also worth looking at (for a host of other reasons) are the comments on the video from random people, for which you’ll have to go to the YouTube site itself. Be sure you’re not drinking any very hot liquids.