Most likely from the way they appear in nature. I was into LSD quite a bit in the early 90's, which is when I got into generating fractals through the DOS Fractint software. I would let the computer render deeper and deeper zooms over time, while also playing with the parameters and formulas.

Under the effects of hallucinogens, I found fractals far more noticeable in nature, especially when looking at trees. The branching from the base, off to smaller branches, out to the leaves. I feel like the geometric patterns that appear are somewhat of a fractal-design as well, even though they tend to shift and "breathe". I still enjoy fractals for the way they can be created through math processes, while also showing up in places within nature where there's not a computer anywhere in sight.

A related "existential" observation that I had when exploring these as a teenager: what's further in always seems exciting. Then, when seeing it up close, the appeal immediately disappears, only for the new "far away" bits to appear more interesting.