Hilbert curve (nonfiction): Difference between revisions
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== Fiction cross-reference == | == Fiction cross-reference == | ||
* [[David Hilbert | * [[David Hilbert]] | ||
== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
* [[David Hilbert (nonfiction)]] | * [[David Hilbert (nonfiction)]] | ||
* [[Giuseppe Peano (nonfiction)]] | |||
* [[Recursion (nonfiction)]] | |||
== External links == | == External links == | ||
Revision as of 22:02, 3 September 2016
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.
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).
Fiction cross-reference
Nonfiction cross-reference
External links
- Hilbert curve @ Wikipedia.org