Not all plants have the growth patterns you describe. Many monocots and gymnosperms (cycads) either don't branch, or do so irregularly (they'll look "messy", th

Not all plants have the growth patterns you describe. Many monocots and gymnosperms (cycads) either don't branch, or do so irregularly (they'll look "messy", think Joshua trees or branching palms), and cuttings aren't a viable means of propagation. Whatever the definition of a fractal (seems contentious), these plants aren't clearing the bar.