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by Y_Y
2454 days ago
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You make a good point about circles. I'd like to add that the pi r^2 circle we know and love isn't the only one. It depends on the "metric" which in that case is Euclidean ("as the crow flies"). If you have have traffic rules, like only flying certain routes you get a different shape circle and a different area as a function of radius. A famous example is the "Manhattan" metric where you drive around on a square grid. In this case the "circle" looks just like a square and has area 4 r^2. |
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