Mobius Transformation Video

Published by patrick honner on

Not only is this visualization of generalized Mobius transformations mesmerizing and beautiful, it is the clearest demonstration of inversion that I have ever seen:

This short movie visually explains all the basic transformations of the plane:  translation, rotation, dilation, and inversion.  Then it demonstrates how all of these transformations of the plane can really be thought of as simple translations and rotations of the sphere!

If I had seen this video a few decades ago, I might not have given up on topology as quickly as I did.

patrick honner

Math teacher in Brooklyn, New York


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