Showing posts with label fractals. Show all posts
Showing posts with label fractals. Show all posts

Saturday, June 5, 2010

Mandelbrot Set

First post on my blog and it's the most boring topic i can think of. It's about the Mandelbrot set. Here's the starting image:
The Mandelbrot set is a fractal which means it has small copies of itself in the set.
Let's try zooming in between the head and the body:
And now we try to zoom into one of those seahorse-like things:

And now into its tail:
And to those little things that make up that tail:
Now to that area that looks like a sideways "S":

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.