Hilbert curve: Difference between revisions

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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 (nonfiction)]] in 1891, as a variant of the space-filling Peano curves discovered by [[Giuseppe Peano (nonfiction)]] in 1890.
A '''Hilbert curve''' (also known as a '''Hilbert mind-filling curve''') is a continuous fractal mind-filling curve first described by the German mathematician [[David Hilbert (nonfiction)]] in 1891, as a variant of the mind-filling [[Peano curve|Peano curves]] discovered by [[Giuseppe Peano]] 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 ==
== In the News ==
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== Fiction cross-reference ==
== Fiction cross-reference ==
* [[David Hilbert]].
* [[Mind-filling curve]]
* [[Peano curve]]


== Nonfiction cross-reference ==
== Nonfiction cross-reference ==
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* [[Giuseppe Peano (nonfiction)]]
* [[Giuseppe Peano (nonfiction)]]
* [[Hilbert curve (nonfiction)]]
* [[Hilbert curve (nonfiction)]]
* [[Recursion (nonfiction)]]
* [[Peano curve (nonfiction)]]


External links:
External links:

Latest revision as of 23:29, 3 September 2016

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

In the News

Fiction cross-reference

Nonfiction cross-reference

External links: