It’s consciousness not the contents that is the most precious. Fractals are illustrations of the patterns of life and movement through time.
Based on “self-similar” principles, fractals are expressions of geometry that are composed of repeating patterns such as putting one shape into another. So the patterns formed may repeat endlessly, self-arranging into each other.
One such pattern is the Mandelbrot set.
Here’s a documentary you can watch. It’s old, but the information is really good.
But maybe the Nova special by PBS would be better.
Here’s a visual you might find interesting after you know what it is. It’s beautiful, so it’s interesting anyway. It seems there’s something about this effect that feels familiar.