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Non-Euclidean Geometry in 4E?
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<blockquote data-quote="TwinBahamut" data-source="post: 4046078" data-attributes="member: 32536"><p>I just thought of another odd quirk of this new system. I guess I will explain with an example:</p><p></p><p>An X represents a person or object, while an O represents empty space. Compare the two situations:</p><p></p><p>OOOOO</p><p>OOXOO</p><p>OOOOO</p><p>XXXXX</p><p>OOOOO</p><p></p><p>XOOOX</p><p>OOOXO</p><p>OOXOO</p><p>OXOOO</p><p>XOOOO</p><p></p><p>In both situations, there is a single person facing a line of people who are spaced five feet apart, about 10ft away from him. In the first example, he can't pass at all. In the second example, he can pass through with hardly any movement penalty (I am ignoring AoOs for this example). In order to completely block movement with the diagonal line, it is necessary to set it up like this:</p><p></p><p>XOOOX</p><p>OOOXX</p><p>OOXXO</p><p>OXXOO</p><p>XXOOO</p><p></p><p>In other words, you practically need twice as many people to secure a diagonal line as you need to secure a vertical or horizontal line.</p><p></p><p>Really, I know this has very little to do with the change from 1,2,1,2 counting and diagonal=1 counting, but it rubs me the wrong way. However, in a hex grid this situation is not present (or at least a lot more minor), which I think is a decent enough argument for using that system. I suppose Manhattan Geometry has the opposite problem (people supposedly ten feet apart can block movement in a diagonal, but not on a horizontal or vertical), but I prefer options that make it easier to defend, rather than harder, so I would prefer that to the 4E system.</p></blockquote><p></p>
[QUOTE="TwinBahamut, post: 4046078, member: 32536"] I just thought of another odd quirk of this new system. I guess I will explain with an example: An X represents a person or object, while an O represents empty space. Compare the two situations: OOOOO OOXOO OOOOO XXXXX OOOOO XOOOX OOOXO OOXOO OXOOO XOOOO In both situations, there is a single person facing a line of people who are spaced five feet apart, about 10ft away from him. In the first example, he can't pass at all. In the second example, he can pass through with hardly any movement penalty (I am ignoring AoOs for this example). In order to completely block movement with the diagonal line, it is necessary to set it up like this: XOOOX OOOXX OOXXO OXXOO XXOOO In other words, you practically need twice as many people to secure a diagonal line as you need to secure a vertical or horizontal line. Really, I know this has very little to do with the change from 1,2,1,2 counting and diagonal=1 counting, but it rubs me the wrong way. However, in a hex grid this situation is not present (or at least a lot more minor), which I think is a decent enough argument for using that system. I suppose Manhattan Geometry has the opposite problem (people supposedly ten feet apart can block movement in a diagonal, but not on a horizontal or vertical), but I prefer options that make it easier to defend, rather than harder, so I would prefer that to the 4E system. [/QUOTE]
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