On Wed, Dec 12, 2018 at 8:10 AM Joerg Arndt <arndt@jjj.de> wrote:
This one can be obtained by the L-system with map F |--> F+FF-F with axiom F+F+F where the constants '+' and '-' are turns by +-120 degrees.
Yes, that's how I drew the one in the picture I'd sent.
Helmberg calls the underlying curve (use the axiom F) the "crab" or the "crab fractal". See Gilbert Helmberg: {On the Eisenstein packing of the complex plane}, The Mathematical Intelligencer, vol.~37, no.~2, pp.~27-33, (June-2015). and Gilbert Helmberg: {The Crab: A Connected Fractile of Infinite Connectivity}, Fractals, vol.~19, no.~03, pp.~367-377(?), (2011).
It also appears in Gilbert Helmberg: {Getting Acquainted with Fractals}, Walter de Gruyter, (2007).
If someone needs much better images of this, just holler (CC personal mail because it is getting increasingly difficult for me to follow math-fun).
Thanks! -- Mike Stay - metaweta@gmail.com http://math.ucr.edu/~mike https://reperiendi.wordpress.com