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by javajosh
1604 days ago
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IMO the opposite of a curve is an angle. One is smooth, the other disjoint such that zooming in on a curve flattens it, but zooming in on an angle makes no change. A circle is a curve that comes back around to the starting point, closing itself. The opposite of closed is open. Therefore I propose that the inverse of the unit circle is something like the (open) region around two intersecting line segments at the origin. |
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