Understanding even basic geometrical transformations can be difficultunless you get a little perspective.
This still image comes from "Mobius Transformations Revealed," a short film by Douglas N. Arnold and Jonathan Rogness of the University of Minnesota that shows how some mathematics can become simpler in higher dimensions.
The movie was an honorable mention in the noninteractive media category of the 2007 International Science and Engineering Visualization Challenge.
Other winners not shown here included the following:
First Place, Interactive Multimedia: "Physics Education Technology Project" (PhET) by Carl Wieman of the University of Colorado and the PhET Team.
Honorable Mention, Interactive Multimedia: "Breast Cancer Virtual Anatomy" by Cathryn Tune and Samantha Belmont of CCG Metamedia.
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Image courtesy Douglas N. Arnold and Jonathan Rogness/University of Minnesota/Science