Möbius Transformations Revealed

Möbius Transformations Revealed is an award-winning short film by Doug Arnold and myself which has been viewed over 2 million times on YouTube alone. We originally created it for the 2007 Science and Engineering Visualization Challenge, sponsored by the NSF and Science Magazine. It has been featured in a number of articles and websites, including:

A short clip of the movie is included in the film Achieving the Unachievable, a documentary about M.C. Escher’s Print Gallery.

Möbius Transformations Revealed is a wonderful video clarifying a deep topic. This is amazing work by Douglas Arnold and Jonathan Rogness of the University of Minnesota. Edward Tufte

You can view the original YouTube version of the movie below. We also created a higher-resolution, narrated version of the movie for use in a film festival. Other users have upoaded that version to YouTube; for example, click here to view that version. You can also download high-resolution images from the video on Doug Arnold’s MTR page.