Hilbert Curve
Hilbert space-filling curve
The d2xy Hilbert mapping at order 6 (4,096 cells) traced as one continuous, self-avoiding polyline — a single unbroken pen stroke that fills the plane.
Paper / citationDavid Hilbert, “Über die stetige Abbildung einer Linie auf ein Flächenstück,” Math. Annalen 38:459–460 (1891).
https://doi.org/10.1007/BF01199431
https://doi.org/10.1007/BF01199431
◈Made by real computation — every vertex is produced by the algorithm’s own math, integrated or iterated from the paper’s equations. No tracing, no decoration, no image model.