The Osgood curve (http://www.jstor.org/stable/1986455) "A Jordan Curve of Positive Area") is an injective map from [0,1] into $\mathbb{R}^2$ which traces out an image of positive area. (This differs from standard space-filling curves, which are not injective.)
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The Osgood curve (http://www.jstor.org/stable/1986455) is an injective map from [0,1] into $\mathbb{R}^2$ which traces out an image of positive area. (This differs from standard space-filling curves, which are not injective.) |
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