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Non-Euclidean Geometry in 4E?
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<blockquote data-quote="Jeff Wilder" data-source="post: 4050895" data-attributes="member: 5122"><p>Just as an experiment, try this (no, really, try it):</p><p></p><p>Draw a 12-square by 8-square room (60-feet by 40-feet, in game) on a battlemat orthogonally.</p><p></p><p>Now draw a 12-square by 8-square room (60-feet by 40-feet, in game) on the battlemat diagonally.</p><p></p><p>Which one's bigger?</p><p></p><p>Which one looks bigger to the characters?</p><p></p><p>Which 12-square by 8-square room can contain 24 fighting hill giants?</p><p></p><p>Which 12-square by 8-square room can contain 39 fighting hill giants? (Plus 16 orcs?)</p><p></p><p>This rule isn't an abstraction. It's not just a simplification for the ease of play, like 5-foot squares and cyclical, turn-based actions. This rule is an actual <strong>warping of space</strong> -- observable and provable -- from the perspective of the <strong>characters</strong>. A fighter, in the game, can (and should!) actually observe that a 40-foot by 60-foot room can sometimes, somehow, be about <strong>twice</strong> as much fighting space. (The diagonal room is exactly twice as big, but some half-squares are probably unusable for combat.)</p><p></p><p>And that's not a fluke. Any room using the 1-1-1-1 rule is fully twice as big when drawn on the diagonal.</p><p></p><p>If that's not weird enough to convince people, just how much would it take? Would triple-sizing of a room, when it's drawn on the diagonal, be enough to say "enough"? Quadruple-sizing?</p><p></p><p>For me, the character-perspective observable fact that a room is <strong>twice as large</strong> when it's drawn on the diagonal is easily enough for me to reject this rule.</p></blockquote><p></p>
[QUOTE="Jeff Wilder, post: 4050895, member: 5122"] Just as an experiment, try this (no, really, try it): Draw a 12-square by 8-square room (60-feet by 40-feet, in game) on a battlemat orthogonally. Now draw a 12-square by 8-square room (60-feet by 40-feet, in game) on the battlemat diagonally. Which one's bigger? Which one looks bigger to the characters? Which 12-square by 8-square room can contain 24 fighting hill giants? Which 12-square by 8-square room can contain 39 fighting hill giants? (Plus 16 orcs?) This rule isn't an abstraction. It's not just a simplification for the ease of play, like 5-foot squares and cyclical, turn-based actions. This rule is an actual [b]warping of space[/b] -- observable and provable -- from the perspective of the [b]characters[/b]. A fighter, in the game, can (and should!) actually observe that a 40-foot by 60-foot room can sometimes, somehow, be about [b]twice[/b] as much fighting space. (The diagonal room is exactly twice as big, but some half-squares are probably unusable for combat.) And that's not a fluke. Any room using the 1-1-1-1 rule is fully twice as big when drawn on the diagonal. If that's not weird enough to convince people, just how much would it take? Would triple-sizing of a room, when it's drawn on the diagonal, be enough to say "enough"? Quadruple-sizing? For me, the character-perspective observable fact that a room is [b]twice as large[/b] when it's drawn on the diagonal is easily enough for me to reject this rule. [/QUOTE]
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