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[Japo]

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

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.

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.

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.

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:

[dosraider]

The angel can't win.
Period.
The devil will get the angel and the devil will screw the angel.

Devils cheat, ya know, that's why they are devils.
:nuts:

[AlumiuN]

Originally Posted by dosraider

The angel can't win.
Period.
The devil will get the angel and the devil will screw the angel.

Devils cheat, ya know, that's why they are devils.
:nuts:

The old Belgian has a point. That's how he ended up with grandchildren. :bleh:

[arete]

How did we default to innuendo again? It's bizarre.

I think you do it on porpoise...



Hahahaaa.

[_r.u.s.s.]

guys i made that topic 2 days ago and there are already hentai tentacles in this thread

btw

Originally Posted by Eagle of Fire

Angel cannot win unless you can define infinity.

Angel lose.

End of story.

that is not as simple as you might think, if you think about it a bit.. anyways, if you prove that angel can never win, john h. conway at princeton university offers you 1000 USD in reward=P

100$ if you prove that angel of sufficiently high power can win

[Luchsen]

Angel always moves the furthest possible distance on one axis in one direction. Where's my money, honey?

[gregor]

wouldn't it just be simple to make a cross and when the gap is too big the angel is trapped?

This also seems to imply the angel would never win.

[_r.u.s.s.]

Originally Posted by Luchsen

Angel always moves the furthest possible distance on one axis in one direction. Where's my money, honey?

stupidiest option available, actually