# Mandelbrot Set

The Mandelbrot Set graphed in pretty colors.

Ian Mallett

(geometrian)

There's a nice song which goes something like:

"

Take a point called "c" in the complex plane,

Let z

Let z

z

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

"

Take a point called "c" in the complex plane,

Let z

_{1}be c^{2}+ c,Let z

_{2}be z_{1}^{2}+ c,z

_{3}is z_{2}^{2}+ 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### Links

### Releases

Mandelbrot Set 2.0.0 — 19 Mar, 2008