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**...

### Famous quotes containing the word curve:

“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 (1809–1892)

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