# Check it out!

Why study fractals?
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

My fractals mail
Send fractals mail

Fractals on the Web
The Math Forum

Other Math Lessons
by Cynthia Lanius

Awards

Notice the triangle above is all filled in.

Now, what does this have to do with Sierpinski's Triangle?

Try shading all the little triangles in Pascal's Triangle except the odd numbered ones, and see what happens. (That includes shading the triangles with no numbers and the even numbered ones.)

Now compare it to the triangle below. (Hidden way below so you won't cheat)You can get Sierpinski's Triangle from Pascal's!

To people who like math, that's really cool.

Do you find any other interesting patterns in Pascal's Triangle? Email me your answer. I'd love to hear from you.

lanius@math.rice.edu