What's the explanation for the fracvtal nature of the mandelbrot set? Is it an anomoly in the number system? Is it basically an error?

I have been fascinated by fractals for 20 years but never really thought about _why_ they (mandelbrot/escape-time) exist.

I wonder if discovering why they exist at all, may lead to a 'better' 3D analog?

## miner49er said...

What's the explanation for the fracvtal nature of the mandelbrot set? Is it an anomoly in the number system? Is it basically an error?

I have been fascinated by fractals for 20 years but never really thought about _why_ they (mandelbrot/escape-time) exist.

I wonder if discovering why they exist at all, may lead to a 'better' 3D analog?