The Sierpinski Triangle is an interesting geometric pattern formed by connecting the midpoints of the sides of a triangle. When you do this, you create 4 other triangles. You then "delete" the middle bottom triangle, leaving three smaller triangles whose sides could then be connected, and so on, and so on. In your imagination, you could repeat this infinitely many times. Try the Java demonstration below.
Table of Contents 
Introduction
Why study fractals? Making fractals
Fractal Properties
For Teachers
Comments
Fractals on the Web
Other Math Lessons
Awards

The applet was developed by Jacobo Bulaevsky Visit his site to check other applets.
URL http://math.rice.edu/~lanius/fractals/sierjava.html