hi,
when you ask about fractals, most people think about pretty 2d images, but there's more to it. According to the definition, a fractal is "a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole".
Whereas this does not only apply to 2 dimensions with X and Y, but also to rotation with Z. this is 3 dimensions and you can easily relate them to atomic interference and chaos theory.
'Chaos theory describes the behavior of certain nonlinear dynamical systems that under certain conditions exhibit dynamics that are sensitive to initial conditions (popularly referred to as the butterfly effect). As a result of this sensitivity, the behavior of chaotic systems appears to be random, because of an exponential growth of errors in the initial conditions. This happens even though these systems are deterministic in the sense that their future dynamics are well defined by their initial conditions, and there are no random elements involved. This behavior is known as deterministic chaos, or simply chaos.'
This all technical blah blah means that chaos theory, although appearing random, is determined from the initial states of the object.
pertaining to fractals, the ones we can see in computers are static 2d, animated 2d, static 3d and animated 3d (4 dimentions because it changes with time) but in real-life physics, they're already working in 80+ dimensions (something called TENSOR connected to superchords theory...)
so in the end, we know of up to 4d fractals, but in nature they can be infinitely affected by a huge number of facter, rendering an enormous number of dimensions.
hope i helped and wasn't too scientific
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