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
R
2
{\displaystyle \mathbb {R} ^{2}}
and
R
3
{\displaystyle \mathbb {R} ^{3}}
have the same cardinality as
R
{\displaystyle \mathbb {R} }
.