You did so great with that fractal, Let's Make Another One!
The Koch Snowflake
You may need triangle grid paper to help you with the drawing.Directions:Want to see what this looks like?
Step One. Start with a large equilateral triangleStep Two. Make a star:
- Divide one side of the triangle into three parts and remove the middle section.
- Replace it with two line segments the same length as the section you removed.
- Do this to all three sides of the triangle.
Original Triangle
First Iteration
Second Iteration
Wow! What did we do to get this figure?
Do you see why mathematicians call it a snowflake?
Did you say do it again?! You said do it again!!
Okay, okay, one more time...
Third Iteration
Fourth Iteration
How about once all together?
Back to Online Version Copyright 1996-2007 Cynthia Lanius
URL http://math.rice.edu/frac/kopr.html