About 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.

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Facts from Wikidata (CC0). Image by David Eppstein via Wikimedia Commons (CC0).

Osgood curve

a non-self-intersecting curve of positive area

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Facts from Wikidata (CC0). Image by David Eppstein via Wikimedia Commons (CC0).