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I suppose you've already figured this out, but for anyone who does not know it is not a rule that soldiers can not get four places over the line, it is a mathematical impossibility. It's not literally a "game" as one might think of it (a competition, board game, video game, etc.), but a mathematical
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Thanks, Denni, for the link and clear up. I've done some more clearing up, since it wasn't clear to me that jumping involved jumping over another soldier (until I read the link). Without this insight I also misunderstood the removing of the soldier. Moving would have been pretty pointless with these
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The whole point here seems to be the idea that the 5th row is unreachable, along with an impressive mathematical proof. Problem is that this guy does reach the fifth row, complete with animations:
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They are an alternative to the men marked "A". In other words, you could remove the "A" men and put them at "B" and you can still march forward to the same finishing location.
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The proof has both a "this completes the proof" and a "QED". That's basically saying the same thing twice. One of them ought to be removed.
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So what is the point of the game? Why can soldiers only get four squares above the horizontal line? Or is that a rule? --
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is a football manager, and not the mathematician who wrote the paper. I think this should be corrected by removing the
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This is probably obvious to everyone but me, but what is the significance of the squares marked "B"?
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parameter from the template. I have a conflict of interest in that I know Dr Taylor personally. --
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series of moves that will allow a soldier to advance more than four rows above the horizontal line.
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Is there any source regarding the fact that the puzzle was first considered by Conway in 1961?
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This guy made it by dropping away the 'finite' requirement from the initial task. --
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379:{\displaystyle \varphi ={\frac {{\sqrt {5}}-1}{2}}=0.61803\dots }
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Conway proved that, regardless of the strategy used, there is no
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by an editor with a conflict of interest has now been answered.
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The reference "TathamTaylor" currently includes a link to
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447:{\displaystyle {\frac {{\sqrt {5}}+1}{2}}=1.61803\dots }
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