Imagine hundred of birds flying in a flock. While they are flying, you start seeing them making crazy shapes and you are amazed. What do you think. That something ordered is created in these shapes, real substance, or it is just your paredolia?
It means that fractals are patterns and self-similar patterns are fractals. Cell division is a fractal function.
What? Cell division is a fractal function?lol. Why? Because they are repeatable phenomena? So the planets orbiting the sun are fractals? If you visit Jupiter's moons, you will see similar things in their surface now, compared to 10 or 50 or 100 years ago. Chemical reactions are happening all the time, yet you see always the same thing. Does this mean that chemistry in the surface of these planets are fractals?
Periodicity happens all the time and results from the fact that similar substances under the same laws of nature will undergo similar events all the time. And similar events under similar laws of nature will pose similar results. Periodicity happens all the time. It is not a property of chaos. In fact, the more complex a system is, the more likely that it wont be repeatable. Although within the complex systems you might see some patterns, this is more likely to be paredolia than real periodicity, as exact predictive mathematical measurements will become increasingly more challenging and elusive. Now some complex mathematical systems might be periodic, but this is not a result of the complexity per se.
The mathematics to explain a system must be exact. They should not be valid "approximately". Some simple phenomena can be nicely explained mathematically, like for example E=mc^2. The more complex the system, like for example meteorology, the more mathematics seem to do a less good gob. And then you have biology which is orders of magnitude more complex than meteorology, and we are constantly discovering new layers of complexity, that we didn't know.
Fractals are mathematical constructions. To say that cell division is a fractal is absurd, because it means that every interaction is modeled by a mathematical symbol and then the calculations lead to a fractal-like function. For example, during translation, the DNA molecule takes a certain spatial conformation, that resemble a "S". Then according to the genes that are on the edge of that S, and some distant regulatory parts that attach to that region due to the now spatial proximity they come because of the twisted DNA molecule, determines which protein will be encoded. How can you model that in mathematical terms? Or how can you model the effects of the dynamic tension that external forces bring to the cytoskeleton. And i can go on and on for hours, giving examples on why it is currently so difficult to mathematically model biological functions, and claim that cell division is a fractal. Maybe in the future.
You seem to mix up fringe ideas, like some pure mathematical or physical models like quantum mechanics or chaos theory can be expanded into every aspect of reality, without palatable evidence that this is the case. This means that you are gullible to hyped claims....and this leads to an explosive mixture of ideas