Cynthia Lanius

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   Comments     My fractals mail     Send fractals mail   Fractals on the Web     The Math Forum   Other Math Lessons     by Cynthia Lanius   Awards     This Site has received

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. How about you?   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

Sierpinski Meets Pascal

Here's more information on building Sierpinski's Triangles from Pascal's.

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