### What is a fractal?

Send in examples of fractals from Earth or from

*Fractalia*.

What is a fractal?

Almost all things in

*Fractalia*are fractal. Many things on Earth are also.

A fractal is a pattern that repeats itself as you go smaller and smaller. Let's make a simple fractal. Start with a straight line (as in the top of the picture). To make the second line from the first one, just put a pointy bump in the middle of the line. Now let's make the third line from the second line. Everywhere there is a straight line replace it with one that has a pointy bump in the middle.

The line keeps getting bumpier and bumpier. This is an example of a fractal because the same pattern repeats itself as you go smaller and smaller.

Trees are fractals because they start out as a trunk that splits off into many branches. Each branch splits off into smaller branches again and again until you reach the twigs. The same pattern repeats itself as you go smaller, so it is a fractal.

Send in other things from Earth or from

*Fractalia*that are fractals.

## 7 Comments:

the bumpiest line in the picture looks like a snowflake

blood vessels split smaller and smaller just like tree branches do

a river delta

The river splits up into smaller streams which splits up into even smaller streams, and so on.

(I cannot remember the name of the young person who came up with this great answer a couple of days ago. So, I am posting it for him. A.J.)

The root system of a tree is also a fractal.

Kayla

Sometimes I repeat myself when under stress.

Fantastic animation of a Mandelbrot fractal zoom, via WServer Newsletter

http://www.wservernews.com/T6WTBK/060821-Fractal

nerve cells split off of each other's little hair things

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