The Hilbert curve
The Hilbert curve is a spacefilling curve.
It will eventually fill the entire plane, without ever crossing itself.
The first image below shows the 'standard' Hilbert curve.In other images, I have superimposed the curves,
gave them curved line sections instead of straight ones, and all other sorts of variations.
Towards the bottom of the page, I have also added another kind of space filling curve.
hilbertx013

Back to The Hilbert curve gallery index