Hilbert curve
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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.
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
Traditional Hilbert Curve (nonfiction) powerless against demons (nonfiction), says Writer-Sorceror Roger Zelazny.
Fiction cross-reference
Nonfiction cross-reference
- David Hilbert (nonfiction)
- Giuseppe Peano (nonfiction)
- Hilbert curve (nonfiction)
- Recursion (nonfiction)
External links:
- Hilbert curve @ Wikipedia.org