Mandelbrot Set - 2.0.0

geometrian fractal set mandelbrot number numbers complex

There's a nice song which goes something like:
"
Take a point called "c" in the complex plane,
Let z₁ be c² + c,
Let z₂ be z₁² + c,
z₃ is z₂² + c,
And so on, if the series of z's will always stay,
Close to c and never trend away,
that point is in the Mandelbrot Set!
"

Here's what the Mandelbrot Set looks like! It even automatically saves a picture of it...

When you specify the output image size, be aware that the graph is graphed with the x-axis ranging from -2 to 1 and the y-axis ranging from -i to i. Namely, you'll want your output image to have an aspect ratio of 3:2. The screenshot, for instance, was rendered at 2400x1600. The program won't force you to use a nice ratio, though.

I had my computer make a really big image--9600x6400, which took about 45 minutes to render. Twice as big causes an error. You can clearly see the echoes of the entire set that are tiny. Here it is: 9600x6400