Common
Space-filling curve
Curve whose range contains the unit square
Space-filling curve
In mathematical analysis, a space-filling curve is a curve whose range reaches every point in a higher dimensional region, typically the unit square (or more generally an n-dimensional unit hypercube). Because Giuseppe Peano (1858–1932) was the first to discover one, space-filling curves in the 2-dimensional plane are sometimes called Peano curves, but that phrase also refers to the Peano curve, the specific example of a space-filling curve found by Peano. The closely related FASS curves (FASS is an acronym for "approximately space-Filling, self-Avoiding, Simple, and Self-similar" curves) can be thought of as finite approximations of a certain type of space-filling curves.
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