Maybe useable as an infill option for slicing programs for 3d-printing.
Edit: There is a fractal infill pattern (Hilbertcurve) in slic3r, hidden in the expert mode
Originally shared by Appropouture
@Andreas_Wilhelm : What you see here is the animation of a Lindenmayersystem. A few days ago I wrote an interpreter that creates such fractals based on a simple input file: http://avedo.net/554/lindenmeyer-systems-a-python-adventure/
Image source: http://verbalairways.tumblr.com/
Thanks for the heads up !
Hmm were you thinking along the lines of adaptative fractal infill / inner structure where the density of subdivisions determins the hardness of a specific portion of a part ?
Also did not know slicr had such an option, will take a look 
In this animation there is a point when the structure reminds me to a very organic shape: the water channels inside plants - lots of cells on the outside for supporting the structure and only a few cells inside. 1
When running slic3r in expert mode, you can select different infill patterns. The hilbert curve is the fractal one.
I see what you mean! Cell like structures are very close to fractals and have a lot of potentially interesting properties for 3d printing.
hmm this reminds me of voronoi triangulation ! (woot ! some good examples there [1] )
( I was quite fascinated by fractals, and more specifically L-Systems a few years back, did a few simple 2d implementations too, might dig up some old code : I really wish I had more slicer knowledge (and time) to try and implement some quick prototypes for these…)
btw, that also reminds me of the work by nervous systems : [2] lots of cell structure based stuff
[1] http://matsysdesign.com/2009/06/18/voronoi-morphologies/
[2] http://n-e-r-v-o-u-s.com/
