space-filling curve

noun

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 #92;mathbb#123;R#125;² and #92;mathbb#123;R#125;³ have the same cardinality as #92;mathbb#123;R#125;.”

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Meanings

nounspace-filling curve (plural space-filling curves)

plural space-filling curves

  1. mathematical analysisa 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 #92;mathbb#123;R#125;² and #92;mathbb#123;R#125;³ have the same cardinality as #92;mathbb#123;R#125;.

Cite this entry
APA

space-filling curve. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/space-filling%20curve

MLA

“space-filling curve.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/space-filling%20curve. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “space-filling curve,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/space-filling%20curve.

Source: space-filling curve on Wiktionary, CC BY-SA 4.0.