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Definition 2024

See also: spacefilling curve

The fourth stage of construction of a Gosper curve, a kind of space-filling curve.

space-filling curve ‎(plural space-filling curves)

(analysis) a curve whose range contains the entire 2-dimensional unit square (or the 3-dimensional unit cube)
- From space-filling curves it can be deduced that $\mathbb {R} ^{2}$ and $\mathbb {R} ^{3}$ have the same cardinality as $\mathbb{R}$ .