space-filling curve

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See also: spacefilling curve

English

Noun

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

space-filling curve (plural space-filling curves)

(mathematical 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 $\mathbb {R}$ .

Related terms

Peano curve

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space-filling curve

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