Mickey Mouse's Mandelbrot Set

Mickey Mouse's Mandelbrot set
Sarah Boyt
George Mason University
Math 401 Mathematics and 3D Printing

Brief History:

Once upon a time, in the early 1800s mathematician Pierre Fatou
became interested in the iteration of the equation c→c^2+k where c and k are complex numbers and k a constant. Later Gaston Julia studied how iterating this formula created a set
with a boundary of infinite length that was impossible to draw by hand (even though it is a finite curve).This set is now known as the Julia Set. In the late 1970s and early 1980s, Benoit Mandelbrot expanded on the work of Fatou and Julia. Mandelbrot used a computer to plot Julia Sets. While investigating the Julia Set, Mandelbrot studied the z→z^2+c formula and publicized the set which is now known as the Mandelbrot Set.

In the 1980s mathematicians and programmers became interested in turning the Mandelbrot Set into 3 dimensions. However, there were several challenges.Computers in the 1980s were unable to handl