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Non-Euclidean Geometry in 4E?
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<blockquote data-quote="Puggins" data-source="post: 4047227" data-attributes="member: 12386"><p>I'm pretty sure my math is correct- it's my presentation that probably needs some help. Let me rephrase.</p><p></p><p>Take the first picture. The wizard and the monster are orthogonally 30 feet apart. If you assume that the path is the "hypotenuse" of a room, connecting opposite edges, then each side of the room is 30 divided by sqrt(2), or 21.3 feet. The area of that room is (21.3)^2, or 450 square feet. Since each 5'x5' square consists of 25 square feet, there would be 18 squares in that room- yes, I know that they'd be chopped up on the actual map, but the total square area is roughly 18 map squares.</p><p></p><p>Now take the second picture. This one is a ton easier, since the hypotenuse is actually diagonal. They are standing in opposite ends of a 30'x30' room. I actually did this on my calculator the first time and got a rounding error, but I didn't need to do that. a 30x30 room consists of 36 map squares and 900 square feet, and is twice the size (in area) of the 1st room.</p><p></p><p>Hopefully that makes things more clear.</p></blockquote><p></p>
[QUOTE="Puggins, post: 4047227, member: 12386"] I'm pretty sure my math is correct- it's my presentation that probably needs some help. Let me rephrase. Take the first picture. The wizard and the monster are orthogonally 30 feet apart. If you assume that the path is the "hypotenuse" of a room, connecting opposite edges, then each side of the room is 30 divided by sqrt(2), or 21.3 feet. The area of that room is (21.3)^2, or 450 square feet. Since each 5'x5' square consists of 25 square feet, there would be 18 squares in that room- yes, I know that they'd be chopped up on the actual map, but the total square area is roughly 18 map squares. Now take the second picture. This one is a ton easier, since the hypotenuse is actually diagonal. They are standing in opposite ends of a 30'x30' room. I actually did this on my calculator the first time and got a rounding error, but I didn't need to do that. a 30x30 room consists of 36 map squares and 900 square feet, and is twice the size (in area) of the 1st room. Hopefully that makes things more clear. [/QUOTE]
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