Mandelbrot Set

Mandelbrot Set

Alexis Ventura

11/8/2023. Fall 2023.

George Mason University 401: Mathematics Through 3D Printing.

The focus for this print is the Mandelbrot set. The Mandelbrot set is a set that is generated by iterations of a function on the complex plane x + i*y. The quadratic polynomial used for the iterations is of the form f(x) = x^2 + c, where c is a constant number of the set. To initiate the iterations, there is an x_0 applied to the function x_1 = (x_0) ^2 + c to get the first computation of x_1. Then we take the previous computation and apply it to the next and then the next signifying an iteration of the function x^2 + c. The more you iterate the quadratic polynomial, the model of the Mandelbrot will get bigger and bigger.

For my printed object, I did it on the Mandelbrot set model where I iterated the function of f(x)=x^2+c to max of 50 as according to the following code: MandelbrotSetPlot[{-0.41+0.59I,-0.33+0.69I},MaxIterations→50]. Then I did several data