Mathematical Imagery by Jos Leys

The Hilbert curve

The Hilbert curve is a space-filling 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.


hilbert014
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Copyright 2017 Jos Leys