Thanks everyone! 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.
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).
Best regards, jj
* Mike Stay <metaweta@gmail.com> [Dec 12. 2018 15:42]:
I've seen it here on the list multiple times, but can't find it at the moment. https://imgur.com/a/KeO26Sq
-- Mike Stay - metaweta@gmail.com http://math.ucr.edu/~mike https://reperiendi.wordpress.com
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