130 likes | 318 Views
An introduction to FRACTALS. A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale. Coined the word “fractal” in 1975. Benoit Mandelbrot Professor of Mathematical Sciences Yale University.
E N D
An introduction to FRACTALS A fractalis a mathematical object that exhibitsself similarity — it looks the same at any scale
Coined the word “fractal” in 1975 Benoit Mandelbrot Professor of Mathematical SciencesYale University http://www-gap.dcs.st-and.ac.uk/~history/PictDisplay/Mandelbrot.html
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
Fractals are often formed by what is called an iterative process • to repeat exactly the same step over and over
Fractals are often formed by what is called an itertive process • to repeat exactly the same step over and over
By: Corey Kisner and Cari Faszewski May 18, 2000 Sierpinski Carpet Mathematics & Science Center
Eight Tangent Reflecting Spheres by Dave Matthews 2004 http://astronomy.swin.edu.au/~pbourke/povray/povfrac/final/ Mathematics & Science Center
Frost on my windshieldby Betsey Davis 2001 Mathematics & Science Center
Tie-dyeby Betsey Davis 2005 Mathematics & Science Center
Seven Zebra Poles by Betsey Davis 2005 Mathematics & Science Center
Seven Yellow Feathers by Betsey Davis 2005 Mathematics & Science Center