Artificial Life - Term Project   ·   L-Systems   ·   marc mathis & ivo schindler

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Hilbert Curve

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-
             B=+AF-BFB-FA+
  1. We start with an u-shape.


  2. 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.


  3. We repeat this process on the newly emerged "u"'s over and over again,...


  4. ... we get this squarefilling figure.






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