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> Space-filling curves can be formalized via L-systems, resulting in a recursive, fractal-like pattern. More specifically, FASS curves, defined as space-filling
by vanderZwan 7y ago
> Space-filling curves can be formalized via L-systems, resulting in a recursive, fractal-like pattern. More specifically, FASS curves, defined as space-filling, self-avoiding, simple, and self-similar. That is, a single, non-overlapping, recursive, continuous curve.
I guess this can't be combined with space-filling curves that form closed cycles, right? (example of such a curve: the H-curve[0])
[0] http://www.akt.tu-berlin.de/fileadmin/fg34/publications-akt/fct97.pdf http://www.akt.tu-berlin.de/fileadmin/fg34/publications-akt/...
- klodolph 7y agoIf you need a closed cycle, start with a closed cycle and use substitution rules that preserve this property. There is a variant of the Hilbert curve that works this way.