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#31 | ||
![]() ![]() ![]() ![]() ![]() ![]() Join Date: Mar 2006
Location: Krakeroy, Norway
Posts: 3,014
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![]() Angel lost on the day they gave him? Her? that name. Angel? What sort of name is that?
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Je Suis Charlie |
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#32 | ||
![]() ![]() ![]() Join Date: Feb 2004
Location: Agalli, Albania
Posts: 1,021
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![]() Quote:
no i still think that by making a cross over the board that would mean that the board is finite and can then only extend infinitely into 4 directions. kind of liek coordinate system. Then again angel will still sort of have infinite space to retreat to. as soon as you could limit the board it get's much easier to predict who wins, so they way i would try to solve it is to see if there is any option to limit the board first instead of the movement of the Angel.
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Crantius Colto: Fear not. You are safe here with me. Lifts-Her-Tail: I must finish my cleaning, sir. The mistress will have my head if I do not! Crantius Colto: Cleaning, eh? I have something for you. Here, polish my spear. Lifts-Her-Tail: But it is huge! It could take me all night! Crantius Colto: Plenty of time, my sweet. Plenty of time. From The Lusty Argonian Maid by Crassius Curio found in TES3: Morrowind |
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#33 | ||
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() Join Date: Mar 2007
Location: Saint Catharines, Canada
Posts: 56
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![]() Quote:
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Mount c c:\yoshi Yoshi Mounted. To Battle! |
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#34 | ||
![]() ![]() ![]() 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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#35 | ||
![]() ![]() ![]() ![]() ![]() ![]() 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?
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#36 | ||
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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#37 | ||
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() Join Date: May 2005
Location: Nitra, Slovakia
Posts: 6,533
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![]() Quote:
arete &alumiun- that's so incorrect, things including infinity can be proven
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#38 | ||
Join Date: Apr 2008
Location: Amerika, Netherlands
Posts: 429
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![]() The Devil cannot trap the Angel because the board has infinite length and infinite width.
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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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#39 | ||
![]() ![]() ![]() Join Date: Jul 2005
Posts: 1,127
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![]() But then you would need to check if you are thinking too much.:amused:
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#40 | ||
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() Join Date: May 2005
Location: Nitra, Slovakia
Posts: 6,533
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![]() you're making no sence, that's actually why the devil could trap the angel of any power, if it's true
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