How does the Universe impose its fractal-like patterns of order on chaotic systems? (Strange Universe series)

This is a further look at question 1 of the 12 previous Strange Universe questions at the bottom of the details.

We see fractal-like images in many places as we look at nature. Some of them are constructed very quickly. If we had to calculate the fractal shape using a supercomputer, it would take a great deal of computer time. But the Universe does it in real-time. How does it accomplish this?

Here are some examples of fractal-like images that nature forms:
Fractals Everywhere video with sound/
A mathematically generated tree. Video without sound.
Repeating patterns of a Belousov-Zhabotinsky chemical reaction.

How does that detail all get into a tiny seed? How does it get into a single strand of DNA? In the tiny molecules of the chemical soup in the Belousov-Zhabotinsky reaction?

This is a continuation in the Strange Universe series.
1—How small can the repetitive fractal features of nature get?
2—How can the most distant quasar be 28 Billion light years away?
3—Can nothing exist without the Universe?
4—How can order emerge out of chaos?
5—Where is the center of the Universe?
6—If CERN proves there are parallel universes, will you move?
7—If the universe expands at faster than the speed of light, does it begin to go back in time?
8—What is the expanding universe expanding into?
9—Big Bang Theory—How can you divide infinity into a single finite whole?
10—How would you answer this speed-of-light question?
11—What happens when the expansion of the Universe reaches the speed of light?
12—What’s your Strange Universe example to illustrate Sir Arthur Eddington’s quote?