### The World's Largest Jurassic Park Fractal

 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

Fractals on the Web
The Math Forum

Other Math Lessons
by Cynthia Lanius

Since you can't make the fractal by paper folding for more than about seven iterations, we are going to use a very important feature of the fractal to create a much larger one starting with the fourth iteration.

Take a look at the real first and second iterations above. Notice the second iteration is made up of two copies of the first.

Now if you inspect the third iteration above, you will see that it is made up of two copies of the second iteration. In fact, every iteration is formed with two copies of the previous one. We are going to use this feature to make further iterations beyond what we can make with paper folding.

Let's start by making a real fourth iteration, what the book calls the first. (Wow, I wish they hadn't done that!)

Follow the directions and make two copies of the book's First Iteration.

See the next step below.

Tape the two copies together to form the next iteration. It's a puzzle to figure out how you will rotate the copies to make them fit together correctly.

What would you add to that figure to make the iteration below? Try it and email me to let me know you've successfully completed it.

Class Project: Have everyone in the class make a First Iteration of the fractal (4 folds). Combine all the fractals to see how large an iteration you can make. Email me your iteration number, and I'll post it on the page. We'll see who can make the World's Largest Jurassic Park Fractal.
Email any questions or comments to
lanius@rice.edu

##### Copyright 1997-2007 Cynthia Lanius
URL http://math.rice.edu/~lanius/frac/world.html