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Sorry, i'm too lazy to deeply check teh article. What happens if the lion starts from the center and always moves as to keep the center, himself and the tamer in a straight line? It should do some kind of spiral, but does it take infinite time to catch the tamer?

EDIT: someone came just before me. http://news.ycombinator.com/item?id=3617030

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There's an alternate strategy that relies on time moving in discrete chunks, and both players moving simultaneously. But it's completely dependent on how the space is modelled, which indicates (to me) that this isn't a satisfying / robust / realistic solution.

I believe the Lion can go as close as he wants to the tamer but never have both the same position. If you consider the Lion and the tamer have a size, then in a finite time, the Lion reach the tamer.

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