Exactly! The thing I love about this fractal and others is that it is infinite in all directions. You can zoom in, zoom out, pan left, right, up, or down -- and it just keeps going and going.
Mandelbrot was a particularly interesting character. He set out with the explicit goal of discovering mathematical equations to describe the human soul. He never got that far, and of course people thought he was crazy.
But his work shows how very simple formulas can produce complex, orderly structures if you run them over and over again. Applied to biology, it is possible to see how many, many reproductive cycles can produce the diversity of living beings that we see on Earth today.
Dan Edge