View source for Hilbert curve (nonfiction)

[[File:Hilbert_curve.gif|thumb|First 8 steps toward building the Hilbert curve.]]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 (nonfiction)]] in 1891, as a variant of the space-filling Peano curves discovered by [[Giuseppe Peano (nonfiction)]] in 1890.

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).

== In the News ==

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== Fiction cross-reference ==

* [[Hilbert curve]]
* [[Peano curve]]

== Nonfiction cross-reference ==

* [[David Hilbert (nonfiction)]]
* [[Giuseppe Peano (nonfiction)]]
* [[Peano curve (nonfiction)]]

External links:

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

[[Category:Nonfiction (nonfiction)]]
[[Category:Mathematics (nonfiction)]]