Osgood curve

In mathematical analysis, an Osgood curve is a non-self-intersecting curve that has positive area. Despite its area, it is not possible for such a curve to cover any two-dimensional region, distinguishing them from space-filling curves. Osgood curves are named after William Fogg Osgood.

Not to be confused with the Ramberg–Osgood curve relating stress to strain in material science.
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