Hilbert curve [wikipedia] - Printable Version +- MKLab (https://mklab.gr) +-- Forum: [INDEX] (https://mklab.gr/forumdisplay.php?fid=1) +--- Forum: MATHEMATICS (https://mklab.gr/forumdisplay.php?fid=3) +---- Forum: ARTICLES (https://mklab.gr/forumdisplay.php?fid=13) +---- Thread: Hilbert curve [wikipedia] (/showthread.php?tid=483)

Hilbert curve [wikipedia] - mklabgr - 06-18-2026 Hilbert curve [wikipedia] Summary The Hilbert curve is a famous continuous fractal space-filling curve introduced by the German mathematician David Hilbert in 1891 as a variation of earlier work by Giuseppe Peano. It is created through a recursive process where a simple line pattern is repeatedly divided and transformed, producing an increasingly complex curve that eventually passes through every point of a square. Although it comes from a one-dimensional interval, its limit fills a two-dimensional area, giving it a Hausdorff dimension of 2.  The Hilbert curve is important not only in fractal geometry but also in computer science, where its locality-preserving properties are used for data indexing, image processing, spatial databases, and organizing multidimensional information efficiently.  ARTICLE