space-filling curve

EnglishEdit

NounEdit

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

space-filling curve (plural space-filling curves)

  1. (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}.

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Last modified on 19 June 2013, at 18:23