Is this similar to finding patterns in clouds, cut wood, and ink blots? The metaphysics of fractal patterns is difficult to really 'get', though, in a basic sense, fractals are quite simple.
Fractals, holograms, cellular automata, mechanical clocks: all the models that are the universe, all that are clanking, sweeping, quantized and analog, are quite beautiful in their own peculiar ways. They are all Newtonians. They are all light.
Though having lost some of their freshness appeal, fractals will yield surprises for decades to come, and, long after novel abstractions and mechanisms yield new galactic analogs, the universe will pulse.