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Clebsch Cubic

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Published on Oct 4, 2007

A classical question in algebraic geometry is how many cone-singularities a surface of a given degree can have. For degree 3 surface this problem was solved in 1863 and 1869 by Schaefli and Cayley who proved that the maximum number is 4. The movie shows a cubic with 4 cone-singularities found by Clebsch.

This movie was made using surfex. A higher resolution version can be found at

http://www.iag.uni-hannover.de/~bothm...

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