Inspired by m_raynsford’s puzzles, I decided to try making a couple of my own.
It’s been interesting trying to figure out how to use the L-System function in Inkscape. I understand a little of what it’s doing, though it’s been a while since I did any serious math, so most of my efforts have been trial and error, emphasis on the error.
Hilbert Curve designs were the first that I was able to make into puzzle patterns, though I did some smaller order scale than the others posted above. Still makes for neat little puzzles.
I also managed to get a Twindragon pattern that worked for cutting:
I did get stuck on the normal Dragon Curve for a while, trying to find a way to round it out a little so that the corners don’t touch and then I can make cuttable pieces. This might be a limitation of the Inkscape L-System, in addition to my lack of familiarity with the mathematics. I can’t figure out how to make smooth curves with that feature (my Twindragon puzzle is all 45 degree angles).
A solution was found just the other day for the regular Dragon Curve, but I did not make a puzzle out of it yet.
A useable cutline path for the Terdragon Curve in the same manner still eludes me.
I’m curious as to what tools others are using to generate these fractal paths, as I see some with what look to be smoothly rounded changes in direction. I can’t figure out how to make those in Inkscape.