I was wondering if this was going to be an article about the Numberphile video, and it is.<p>Video was great, article seems to only add a little of physics to the math in the video, but does provide some VPython code of the model and prompts to continue playing with it.
Also check out Rado's classic "Lion and Man" <a href="http://mathworld.wolfram.com/LionandManProblem.html" rel="nofollow">http://mathworld.wolfram.com/LionandManProblem.html</a>
Another nut to crack: is the proposed tactic to escape really optimal? I think there's a variation of the tactic which will take a shorter time to escape.