[greatzebu]

I usually enjoy math problems that are motivated by some interesting real scenario like a man evading a lion, but in this case I don't think it works very well. You end up concluding that the man can evade the lion, but the solution only works if the man and the lion have zero volume and you don't mind getting arbitrarily close to the lion. So the math ends up being very much at odds with the physical scenario that's ostensibly motivating it. And this solution doesn't say anything about the possible existence of a solution that maintains a finite distance between the man and the lion, so you're left wondering whether or not a real solution might still exist. Still a neat technique, but the motivating scenario doesn't work for me.