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Niles Johnson: Visualizations of the Hopf fibration

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Uploaded on Nov 29, 2011

Niles Johnson is a postdoc at the University of Georgia department of Mathematics.

"The Hopf fibration is a kind of projection from the three-sphere to the two-sphere. The two-sphere is the one you're likely to be familiar with--a beach ball is a good example. The two-sphere is formed by all points which are a constant distance from a center point. We write the two-sphere as S2 to indicate that it is 2-dimensional." For more information see: http://www.nilesjohnson.net/hopf.html

The animation shown at the end of the talk is available at
http://www.youtube.com/watch?v=AKotMP...

Special thanks to Cody Baetz for videotaping this presentation and to Jon Hanke for helping us with both the hardware and software of making our videos.

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