
Let's try zooming in between the head and the body:


And now into its tail:



There's a Minibrot inside it! What images do we get in we zoom in further? Let's see:





Now we zoom in further to the center in that part:

Another minibrot!
If you want to zoom in on the Mandelbrot set yourself, here's a free program called GNU XaoS.
For more info about the Mandelbrot set and fractals:
Wikipedia article about the Mandelbrot set.
Wikipedia article about the Fractals.
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