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Old 23-11-2008, 01:52 PM   #1
_r.u.s.s.
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Default a riddle

even though i predict this thread to fail because of lack of interest, i will post it anyways

imagine an infinite chess board. on this board there is a chess piece- Angel, which can move in any direction, in distance of maximally n squares per one turn

the second player is Devil, which can remove any chessboard square per turn, creating a hole, so angel won't be able to step on it. angel is able to leap over holes but can not stand on them

*devil wins if he traps angel inside of an island surrounded by a hole of length n, so angel can't leap over the hole and escape from this island.

*angel wins if he's able to move infinitely without getting trapped


questions are:
can angel win? can devil win?
can angel always win?
can angel win if his [n] power is high enough?
can devil trap angel of any finite power? (be aware that this is an infinite chess board and the board pieces destroyed by devil may be light years far away)

discuss! (try thinking before using google )
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Old 23-11-2008, 02:27 PM   #2
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1. You don't say how many other board pieces there are.
2. You don't specify how the Devil can move; distance, direction, etc.; only that the Devil can remove any piece it wants.

Is there anything saying the Devil can't remove the Angel piece, winning instantly?
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Old 23-11-2008, 02:49 PM   #3
_r.u.s.s.
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read again carefuly, the chessboard is infinite

there is only angel chesspiece

devil doesn't move, he's not on chessboard and removes pieces of "ground". he doesn't remove the chesspieces! he can't remove angel (he is only one on the board), he removes the sqares of chessboard grind, where angel could step, leaving a hole, so angel won't be able to step on it. how else can i explain it?
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Old 23-11-2008, 03:13 PM   #4
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Maybe *maybe* it would be more interesting to discuss this fine specimen of the human race, more specific his brain, or lack of.
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Old 23-11-2008, 04:14 PM   #5
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Unless the angel is stupid, can't it go on forever?
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Old 23-11-2008, 04:20 PM   #6
Eagle of Fire
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Angel cannot win unless you can define infinity.

Angel lose.

End of story.
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Old 24-11-2008, 11:41 AM   #7
Bobbin Threadbare
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Quote:
Originally Posted by dosraider View Post
Maybe *maybe* it would be more interesting to discuss this fine specimen of the human race, more specific his brain, or lack of.
Most interesting thing in this thread.
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Old 26-11-2008, 06:56 AM   #8
AlumiuN
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Quote:
Originally Posted by _r.u.s.s. View Post
*angel wins if he's able to move infinitely without getting trapped
Just noticed this - Angel will never be able to be proven to win because it cannot be proven that the angel cannot move across an infinite board infinitely, unless infinity is defined, which, of course, it can't be. SOLVED!
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Old 26-11-2008, 06:59 AM   #9
arete
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I ALREADY SAID THAT!!!!! Why doesn't anyone listen to me?

:ranting:
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Old 26-11-2008, 09:15 AM   #10
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Angel wins. Since the Devil can only remove 1 square per turn, and the chessboard is infinite, and for the devil to win, he'd need to make a hole with the length of n, it would take an n amount of turns to make the hole.
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