Fractals

For those who do not know what a fractal is:

A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole".

To put it in layman's terms this means that no matter how much you zoom what you see will always resemple the original.

I've only recently learned about fractals thanks to Stef's bro and I decided to look them up. The results were awesome!

Spoiler:

If you have any good fractal videos please share!

More info: http://en.wikipedia.org/wiki/Fractal

Winduct wrote:

Interesting and thank you for sharing. Seriously how do make one?

Quote from Wikipedia:

Four common techniques for generating fractals are:


Escape-time fractals – (also known as "orbits" fractals) These are defined by a formula or recurrence relation at each point in a space (such as the complex plane). Examples of this type are the Mandelbrot set, Julia set, the Burning Ship fractal, the Nova fractal and the Lyapunov fractal. The 2d vector fields that are generated by one or two iterations of escape-time formulae also give rise to a fractal form when points (or pixel data) are passed through this field repeatedly.


Iterated function systems – These have a fixed geometric replacement rule. Cantor set, Sierpinski carpet, Sierpinski gasket, Peano curve, Koch snowflake, Harter-Highway dragon curve, T-Square, Menger sponge, are some examples of such fractals.


Random fractals – Generated by stochastic rather than deterministic processes, for example, trajectories of the Brownian motion, Lévy flight, fractal landscapes and the Brownian tree. The latter yields so-called mass- or dendritic fractals, for example, diffusion-limited aggregation or reaction-limited aggregation clusters.


Strange attractors – Generated by iteration of a map or the solution of a system of initial-value differential equations that exhibit chaos.

ridiculously made a non-zoom-able fractal(if it can be called one x])

Spoiler:

btw, is there anything i can do to turn-off this image on post, i'd prefer to see sumthin like:

Code:

[img]http://img193.imageshack.us/img193/9906/simplefractal.jpg[/img]

instead of that big picture when i editing this post...

is that one?

http://www.freemyspacegraphics.com/Graphics/Funny_Animations/images/49.gif