space-filling curve

noun

(mathematical analysis) a curve whose range contains the entire 2-dimensional unit square (or the 3-dimensional unit cube)

A space-filling curve is a mathematical curve that can be used to fill a two-dimensional space.

意味（1）

(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 ℝ² and ℝ³ have the same cardinality as ℝ.