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Revision as of 21:50, 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 in 1891, as a variant of the space-filling 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
- Hilbert curve @ Wikipedia.org
