# Fractals

Pictured: A Famous Fractal - The Mandelbrot Set

### A Fractals Unit for Elementary and Middle School Students

#### That Adults are Free to Enjoy

 Table of Contents

Introduction

Why study fractals?
What's so hot about
fractals, anyway?

Fractal Properties
Self-similarity
Fractional dimension
Formation by iteration

For Teachers
Teachers' Notes
Teacher-to-Teacher
Send mail

Fractals on the Web
The Math Forum

Other Math Lessons
by Cynthia Lanius

Awards
This Site has received

## What are Fractals?

They're everywhere, those bright, weird, beautiful shapes called fractals. But what are they, really?

Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties that those figures do not have.

There's lots of information on the Web about fractals, but most of it is either just pretty pictures or very high-level mathematics. So this fractals site is for kids, to help them understand what the weird pictures are all about - that it's math - and that it's fun!

Teachers: Every lesson has a print version for classroom use.

Fractals make "Cool Science" News

Winners and New Champions!

Sierpinski 2002 Champions! Congratulations on an awesome Sierpinski Triangle

Congratulations! Students in Mr. Lynch's class in Sandpoint,Idaho created this 12th iteration Jurassic Park Fractal. It took 256 copies of their original to make. Great job.Here's last year's 11th-iteration version.

Elementary School Champions! Third grade students in Ms. Renner's class at Alief ISD's Chambers Elementary in Houston, TX made this this 9th iteration Jurassic Park Fractal. Wow!

And look at what preschoolers do!

URL http://math.rice.edu/~lanius/frac/

Copyright 1996-2007 by Cynthia Lanius

Reset to 1 on 1/19/04