The Hilbert Curve is a very famous curve with quite interesting characteristics. It is a one-dimensional line which completely fills a two-dimensional square without ever crossing itself.
It is worth mentioning that this was already postulated in 1891 by David Hilbert.
Recursions : 5
Angle : 90°
Axiom : A
Rules : A=-BF+AFA+FB-
- We start with an u-shape.
- The middle third of the base line forms a "u" towards the center. The two side lines get also such a "u" on each end.
- We repeat this process on the newly emerged "u"'s over and over again,...
- ... we get this squarefilling figure.