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by dmd
138 days ago
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If you extrude a coastline into a wall the wall's surface area will blow up the same way the measured perimeter does, but that;s because you've turned a boundary-length problem into the area of a different object. It still doesn't mean the country's ordinary map area becomes paradoxical, the extra boundary detail only affects a vanishingly thin strip near the edge, so the enclosed 2D area stays well behaved. |
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[now that the joke is explained, feel free to laugh]