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#1 | ||
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() Join Date: May 2005
Location: Nitra, Slovakia
Posts: 6,533
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![]() 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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![]() Last edited by _r.u.s.s.; 23-11-2008 at 02:56 PM. |
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#2 | ||
![]() ![]() ![]() ![]() ![]() ![]() ![]() Join Date: Oct 2008
Location: Alligator Point, United States
Posts: 121
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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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#3 | ||
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() Join Date: May 2005
Location: Nitra, Slovakia
Posts: 6,533
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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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![]() Last edited by _r.u.s.s.; 23-11-2008 at 02:56 PM. |
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#4 | ||
![]() ![]() ![]() ![]() Join Date: Aug 2007
Location: Dixmuide, Belgium
Posts: 2,767
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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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Not a member of The Victorious People's Shoutbox Liberation Army. Not a member of the GAG Guerrilla. Don't get A Grip! FOR RENT *Advertising space* |
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#5 | ||
![]() ![]() ![]() ![]() ![]() Join Date: Feb 2005
Location: Praha, Czech Republic
Posts: 3,273
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![]() Unless the angel is stupid, can't it go on forever?
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I have vestigial adventure elements |
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#6 | ||
![]() ![]() ![]() ![]() ![]() ![]() Join Date: Sep 2004
Location: Valleyfield, Canada
Posts: 4,892
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![]() Angel cannot win unless you can define infinity.
Angel lose. End of story. |
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#7 | ||
![]() ![]() ![]() Join Date: Jul 2005
Posts: 1,127
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![]() Quote:
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#8 | ||
![]() ![]() ![]() Join Date: Jan 2008
Location: Christchurch, New Zealand
Posts: 1,044
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![]() 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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#9 | ||
![]() ![]() ![]() ![]() ![]() ![]() Join Date: May 2008
Location: Waterside, South Africa
Posts: 3,138
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![]() I ALREADY SAID THAT!!!!! Why doesn't anyone listen to me?
:ranting: |
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#10 | ||
Join Date: Apr 2008
Location: Amerika, Netherlands
Posts: 429
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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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"The trouble with having an open mind, of course, is that people will insist on coming along and trying to put things in it."
-Terry Pratchett |
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