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Sensible Solutions for the Escape Cases

Even when an interception is impossible, the monster might still try to chase the tofubeast. What, then, is the best $ \alpha $? The ghosted $ \alpha $ of the escape illustrations in Figure 7 might appear to be the only natural choice, but it's a little misleading: the whole point is that a constant $ \alpha $ cannot be found, and so the illustrations are only geometrically valid for a certain point in time. The choice of $ \alpha $ will depend on factors outside the scope of the problem. Some ideas:


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