Ask yourself three questions, each involving the number 10, and research shows you'll nearly always make the right decision ...

Measured against that, the Kakeya conjecture – a problem stemming from a 1917 thought experiment by Japanese mathematician ...

Mathematicians soon hypothesized that as your set gets bigger, the biggest sum-free subsets will get much larger than N /3.

So, what exactly is the three-body problem, and is there any hope of solving it? Click through this gallery to find out.