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The Octobagel

Pieces of eight, pieces of eight!

 

The eight pieces of torus form approximate Villarceau circles (related images: Villarceau from the inside - pairs of Villarceau circles). I then have to mention the Hopf fibration, which are the circles you can draw on S3, the 4-dimensional sphere.

 

Also see the following animations: Bagel in four pieces. Bagel in two pieces.

 

Greatly inspired from George Hart's bagel. You can download the movie on Vimeo.

 

Music: Hope, by Kendra Springer.

 

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Uploaded on February 24, 2010