1. fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale

2. Benoit Mandelbrot Professor of Mathematical Sciences Yale University Coined the word “fractal” in 1975 http://www-gap.dcs.st-and.ac.uk/~history/PictDisplay/Mandelbrot.html

3. Fractal Sequence: fractal sequence A fractal sequence contains an infinite number of copies of itself, embedded within itself. It is a pattern within a pattern within a pattern

4. Fractals are often formed by what is called an iterative process to repeat exactly the same step over and over

5. Fractals are often formed by what is called an itertive process to repeat exactly the same step over and over

7. Mathematics & Science Center By: Corey Kisner and Cari Faszewski May 18, 2000 Sierpinski Carpet

8. Mathematics & Science Center Eight Tangent Reflecting Spheres by Dave Matthews 2004 http://astronomy.swin.edu.au/~pbourke/povray/povfrac/final/

9. Mathematics & Science Center Frost on my windshield by Betsey Davis 2001

10. Mathematics & Science Center Tie-dye by Betsey Davis 2005

11. Mathematics & Science Center Seven Zebra Poles by Betsey Davis 2005

12. Mathematics & Science Center Seven Yellow Feathers by Betsey Davis 2005