[Merovius]

Basically, what others have replied is true. But, in essence, yes, I now believe that this would've worked too, if you choose an appropriate discretization of the grid. Hilbert Curves probably were simply the Hammer I had lying around. In the end, it didn't really matter, given that the actual Hilbert Curve part was mostly copy-pasted, but at least it gave me the opportunity to actually use them (and learn from it).