Let's make another fractal.It's an interesting variation on the Koch Snowflake.

Directions:

Step One.Start with a large equilateral triangle. If you use the triangle grid paper, make the sides of your triangle 9 grid triangles long (or some other multiple of 3).

Step Two.Make a pinwheel:

- Divide one side of the triangle into three parts and remove the middle section.

- Replace it with two lines the same length as the section you removed, just like in the Koch Snowflake. But this time, instead of turning the section out to form a snowflake, turn them inside the triangle

- Do this to all three sides of the triangle.

Step Three.Repeat the process with the "triangles" inside the pinwheel.

- Compare the perimeter of Anti-Snowflake with that of the Koch Snowflake.
- Now compare their areas.

**Once more...**
**Third Iteration **

**Thought Questions:**

My thanks to William Mcworter, my mathematician caddy, who assists me immeasurably with the mathematics on my pages.

URL http://math.rice.edu/frac/anpr.html## Copyright 1998-2007 Cynthia Lanius