FRACTALS - Montclair State University · Mandelbrot Fractals Benoît B. Mandelbrot, (born November...
Transcript of FRACTALS - Montclair State University · Mandelbrot Fractals Benoît B. Mandelbrot, (born November...
•Fractals are pictures made with math! •They are geometric patterns repeated over and over to produce irregular shapes and surfaces.
•Fractals are used in computer modeling of irregular patterns and structures in nature.
FRACTALS By Marie McCrary
Julia Fractals
Gaston Maurice Julia (February 3, 1893 – March 19, 1978) was a French mathematician who devised the formula for the Julia fractal.
Mandelbrot Fractals Benoît B. Mandelbrot, (born November 20, 1924) is a French-Jewish-American mathematician, best known
as the "father of fractal geometry".
Clouds are not spheres, mountains are not cones, coastlines are not circles, and
bark is not smooth, nor does lightning travel in a straight line. – B.Mandelbrot, introduction to The Fractal Geometry of
Nature
Fractals in Nature
Fractals in Vegetables!
Sierpinski Triangle Pattern
Step 1
Step 2
Step 3
Step 4
Step 5
Step 0 1 2 3 4 5
# 0 1 4 13 40 121
Difference 1 3 9 27 81
Sierpinski Triangle Pattern