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Sometimes while I'm daydreaming I come up with math problems for myself, to solve. I don't know why but they are mostly packing problems. I don't know how to solve them mathematically but I could probably use a genetic algorithm to find solutions.

But there are ways to prove packing solutions. How is this done? What branch of math would you classify this as?

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Somewhere in the intersection of Computational Geometry and Optimization. –  Arkamis Sep 11 '12 at 19:36
    
A dose of combinatorics wouldn't hurt. –  Austin Mohr Sep 11 '12 at 19:39
    
Packing problems are often notoriously difficult. I know one professor who likes to assign unsuspecting high school students an unsolved, seemingly simple packing problem. –  Alex Becker Sep 11 '12 at 19:41

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