Basic Julia Set

Question

I know how to generate a basic Mandelbrot fractal based on the system Z -> Z + C, which breaks down to:

X -> X² - Y² + A Y -> 2XY + B

Is there a basic definition for a Julia set though on the same simple level, or at least a relatively simple level?

I've written a sum-up about the Mandelbrot/Julia difference: http://stackoverflow.com/a/29984188/216248 — karatedog, Nov 18 '15 at 11:37

score 3 · Accepted Answer · answered Nov 18 '15 at 09:50

3

The "classic" Julia set is described by Z_n+1 = Z_n + C just as the Mandelbrot set.

However, while the Mandelbrot set starts with Z₀ = 0 and varies C across "the pixels", the Julia set varies Z₀ across "the pixels" and has a constant C throughout the set.

answered Nov 18 '15 at 09:50

Vatine

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Now that is exactly the kind of useful information I need - very many thanks! – HugMyster Nov 18 '15 at 12:43

Basic Julia Set

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