You did so great with that fractal,

Let's Make Another One- The Koch Snowflake.

Start with a large equilateral triangle. I mean a really big one.


  1. Step One (First Iteration)
    Divide a side of the triangle into three equal parts and remove the middle section. Replace the missing section with two pieces the same length as the section you removed. Do this to all three sides of the triangle.


  2. Step Two (Second Iteration)

Wow!

What did we do to get this figure? And do you see why mathematicians call it a snowflake?


  • Step Three (Third Iteration)

    Did you say do it again??!! You said do it again!!!


  • Step Four (Fourth Iteration)
  • Okay, Okay, we'll do it one more time.


    How about once all together-


    This is about the only kind of snowflake we see here in Houston, Texas, USA.

    Return to Fractals Index

    These pages were developed through GirlTECH '96, a teacher training and student technology council program sponsored by the Center for Research on Parallel Computation (CRPC), a National Science Foundation Science and Technology Center. Copyright June 1996 Cynthia Lanius