Cynthia Lanius

How to Make

The Jurassic Park Fractal

 
Table of Contents
   Introduction

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

  Making fractals
    Sierpinski Triangle
         Using Java
         Math questions
         Sierpinski Meets Pascal
    Jurassic Park Fractal
         Using JAVA
         It grows complex
         Real first iteration
         Encoding the fractal
         World's Largest
    Koch Snowflake
         Using Java
         Infinite perimeter
         Finite area
         Anti-Snowflake
            Using Java

  Fractal Properties
    Self-similarity
    Fractional dimension
    Formation by iteration

  For Teachers
    Teachers' Notes
    Teacher-to-Teacher

  Comments
    My fractals mail
    Send fractals mail

  Fractals on the Web
    The Math Forum

  Other Math Lessons
    by Cynthia Lanius

   
Jurassic Book Cover Have you ever read Jurassic Park? I know you saw the movie, but did you read the book? Did you notice the bizarre drawings on the chapter heading pages? They look kind of like partial squares. They're labeled First Iteration, Second Iteration, etc., and they get more and more complex with each iteration.

I'm going to show you how to make this fractal by paper-folding. So Cool! For the Jurassic Park Fractal we are going to start with a narrow strip of paper, let's say approximately 1" by 11". Construction paper works really well because it has a little more stiffness.

Take the strip in both hands, fold the paper over end-to-end, right hand onto left, and crease. Now fold it again in the same way, right onto left, and crease, and again, right onto left and crease, and again right onto left and crease. You have folded it four times in all, right?

Before you open the paper out, can you imagine what it will look like unfolded? Let's unfold and see. Now you may be saying, this is just a mess of folded paper. How can this be a fractal? Well, we have to put some order to it.

Lay the paper on its edge. Crease all the folds as right angles. Then rotate it until it matches up with the figure below. Be sure to find the closed-up square. See? You did it! It's the same shape!

Jurassic Park, Chapter One,

"At the earliest drawing of the fractal curve, few clues to the underlying mathematical structure will be seen" - IAN MALCOLM

Next: Watch as the fractal grows from the first to the fourth step.

Related Science/Jurassic Park Links:

Desperately Seeking Sue from the Why Files
Skeletons from the Dragonfly Web Pages
The Movies Website
The Jurassic Park Institute with GREAT resources for teachers


You may obtain a print version of this page.

Email any questions or comments to
lanius@rice.edu
 
Copyright 1996-2007 Cynthia Lanius
URL http://math.rice.edu/~lanius/frac/jurra.html