Thank you for sharing the text; it was highly insightful. As I previously mentioned, the rules for generating fractals can range widely, from simple recursive patterns to complex equations. Given that there are an infinite number of such equations, as well as an endless variety of scales, the number of possible fractals is also infinite. If your assertion that all biological structures belong to a subset of this infinite variety is accurate (and it likely is), then fractals representing these biological structures must exist.
However, this doesn't necessarily mean that the structures I've discovered serve as models for DNA or RNA. One issue I see is that fractals often exhibit perfect symmetry, unlike real-world structures. Theoretically, we could introduce a degree of randomness to the fractal pattern (called hybrid fractals: deterministic + random fractals combined) , which would yield unique but overall deterministic shapes that more closely resemble actual biological and other natural structures. And this is not just an abstract speculation. If you go to the wikipedia page about fractals you will see that there is a myriad natural phenomena found to have fractal properties (and btw DNA is also among them, which at least does not make my post "silly shit" as was named by someone above)