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A '''Hilbert curve''' (also known as a [[Hilbert space-filling curve]]) is a continuous fractal space-filling curve first described by the German mathematician [[David Hilbert]] in 1891, as a variant of the space-filling [[Peano curve|Peano curves]] discovered by [[Giuseppe Peano]] in 1890.

== Description ==

Because it is space-filling, its Hausdorff dimension is 2 (precisely, its image is the unit square, whose dimension is 2 in any definition of dimension; its graph is a compact set homeomorphic to the closed unit interval, with Hausdorff dimension 2).

== See also ==

* [[Hilbert curve scheduling]]
* [[Hilbert R-tree]]
* [[List of fractals by Hausdorff dimension]]
* [[Moore curve]]
* [[Sierpiński curve]]
* [[Space-filling curves]]

== External links ==

* [https://en.wikipedia.org/wiki/Hilbert_curve Hilbert curve] @ Wikipedia.org 

[[Category:Mathematics]]