A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc. Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.

For a simple description of fractals, please download our “One Pager” (380Kb).

For more detailed info, please download our 20 page “Educators’ Guide” (7.5Mb).

**Play with a fractal yourself, below:**

i love this website!! it explains everything so clearly, all the other websites I’ve been to definitely don’t! thanks so much it helped me understand!

Your explanation was really useful… thanks a lot…

I found your site from FLYlady who is a leader in helping organize and run a household. She has more than 553,000 members in her group, so don’t be surprised if your website gets a lot of traffic today.

Love your SMART concept – I didn’t know that it was called fractals. Thank you.

Chris – a FLYbaby

VERY ELEGENT!

This helped me out so much for my project, thanks a lot.

Wow! This so amazing. Nice job and good music

this website saved my hide for a project im doing, thanks.

thank you very much.only site which explains properly on what are fractals

While I absolutely love your site, I find your definition confusing and a bit obtuse. Perhaps if you tried juxtaposing fractal patterns with their complementary opposite, linear patterns? Here linear patterns are “recognizable patterns which always repeat identically,” while fractal patterns are “recognizable patterns that always repeat differently.”

By this definition then, things like the Mandelbrot Set are fractal whereas things like Koch snowflakes aren’t. Moreover, science based on this more rigorous definition would unfold more like a true science.

Fractals are sacred geometry and a hidden way nature and the universe work! They clearly demonstrate the law of correspondence:as above so below,..as below so above!!Fractals also demonstrate how the universe can both be:infinetly infinite,and infinitely finite!At the same time!!A huge paradox,but its the way our universe works. Everything is one,..just like the seers have told us for centuries!

I could spend hours playing with this, but it would be great to also know what mathematical equation is created from the location of each of the three buttons.

I first heard of fractals when I was looking for new slideshow themes for my desk top. I didn’t know what they were but they looked pretty awesome. I then saw a reference to them on the TV series “WHITECOLLAR” so I looked up the definition and then it lead me to this site. I’m here to stay – really interesting and I want to discover more – Thanks

Awesome!!!! Love this.. Thanks!

I LOVE FRACTALS SO MUCH THAT I COULD MAKE THEM ALL DAY. SOMETIMES I DO MAKE THEM ALL DAY.