Cynthia Lanius

Mandelbrot Set     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

  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
             Using Java

  Fractal Properties
    Fractional dimension
    Formation by iteration

  For Teachers
    Teachers' Notes
    Send mail

  Fractals on the Web
    The Math Forum

  Other Math Lessons
    by Cynthia Lanius

    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

4 stars 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!



Copyright 1996-2007 by Cynthia Lanius

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