In mathematical analysis, a space-filling curve is a curve whose range contains the entire 2-dimensional unit square (or more generally an n-dimensional hypercube). Because Giuseppe Peano (1858–1932) was the first to discover one, space-filling curves in the 2-dimensional plane are commonly called Peano curves.
Read more about Space-filling Curve: Definition, History, Outline of The Construction of A Space-filling Curve, Properties, The Hahn–Mazurkiewicz Theorem, Kleinian Groups
Other articles related to "curves, curve":
Space-filling Curve - Kleinian Groups
... There are many natural examples of space-filling, or rather sphere-filling, curves in the theory of doubly degenerate Kleinian groups ... mapping torus of a pseudo-Anosov map is a sphere-filling curve ...
... There are many natural examples of space-filling, or rather sphere-filling, curves in the theory of doubly degenerate Kleinian groups ... mapping torus of a pseudo-Anosov map is a sphere-filling curve ...
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“And out again I curve and flow
To join the brimming river,
For men may come and men may go,
But I go on forever.”
—Alfred Tennyson (18091892)
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