# The Sierpinski Triangle

JavaTM Version 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.

If your browser recognized the applet tag, you would see the Sierpinski Triangle applet here.

 Table of Contents Introduction   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          Anti-Snowflake             Using Java   Fractal Properties     Self-similarity     Fractional dimension     Formation by iteration   For Teachers     Teachers' Notes     Teacher-to-Teacher   Fractals on the Web     The Math Forum   Other Math Lessons     by Cynthia Lanius   Awards    This Site has received

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