A fine point is that, if the angel needs to keep on going infinitely to win, he won't ever win.
But this belongs to the infinity discussion, and maybe heavenly beings play with different rules. L0L
Quote:
Originally Posted by The Fifth Horseman
If the devil focuses on building a large "moat" of pits and then takes out the borders of the large "island" formed that way before the angel can run out... yeah, he can win.
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Can he? The number of tiles he must remove to create a sqare island of side D surrounded by a moat N tiles wide, is 4DN+4N². That takes him an equal number of rounds. In that time the angel can traverse 4DN²+4N³ tiles.
Quote:
Originally Posted by The Fifth Horseman
The angel's [N] can be anything from 1 to infinity. For angels with low [N], it's definitely possible to trap them.
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Even if N=1, the angel could traverse 4D+4 tiles by the time the devil builds a moat 1 tile across surrounding a square D tiles across.
I'm not going to think of all the possible strategies now, so I don't have an answer, but I wouldn't bet for the devil--perhaps out of principle. :bleh: