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/~bothmer/Goettingen/clebschBig.gif
Nice. I'm learning to do ray tracing right now, so I decided to do this surface. Just stumbled upon this video from google.
schrodingersdog 4 years ago