This fractal looks relatively simple, but how would you generate it?
On a smaller scale:
I made it using a 1D cellular automaton with a four cell neighborhood:
..|-|.. 2 generations back |-||-||-| 1 generation back ..|-|.. current generation
But since there are $65536$ possible rules for this CA, and I don't remember this particular one, it's unlikely I will find it again.
For the Sierpiski triangle we have many different ways to generate it (see this page for example).
I would really like it if the answer contained a generated fractal. I would also love to know another method of generating it, not related to cellular automata.