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