the Evil Line

DARPA has a list of twenty-three mathematical challenges that they want solve. Some of them are interesting, some of them are vague:

Mathematical Challenge Six: Computational Duality
Duality in mathematics has been a profound tool for theoretical understanding. Can it be extended to develop principled computational techniques where duality and geometry are the basis for novel algorithms?

Overall, reading the document I'm not entirely convinced that the people putting it together know what they're talking about. Not that I would do much better with many of the topics, but still.

I think I'm going to tackle Challenge Ten, just so I can tell people I'm working on "algorithmic origami."