Look around. See the beautiful displays of nature. Yet, the analysis of those fractals seems to throw us into discomfort. Why? Is human imagination wired on linearity and orthogonality?
Fractals never produce discomfort in me, quite the opposite. I think human imagination is wired to recognize patterns, thereby gaining some security and using limited brain cells to store the information. It would be nice if fractals (in the sense of the definition of that word, not just "looks like") existed in nature but they do not, as becomes clear upon sufficiently microscopic resolution.
We enjoy the art of fractals not the analysis - not the ‘mathematical monster’ from the centuries past. And time might be revealing. We perceive time as continuous. It is a linearity. Fractals stop time. Living patterns persist in live environments. That stoppage is fascinating. It is good art but discomforting analysis.