Mandelbrot set

I wrote this program in Feburary of 7th grade, shortly after I wrote my strange attractor plotter.

In 7th grade I became interested in Chaos theorey while reading a book about it.

I forced myself to not look at other existing implementations of it online, and wrote my own. (You can tell I did this because wrote it such that the past values of z are stored in a list, and I manually implemented the complex arithmetic needed instiad of simplifying it further). I really liked how the value for z jumped arround the complex plane, and sometimes settled down at zero and sometimes zoomed off to infinity. I remember in 7th grade french class taking a piece of paper, and manually going through 4 iterations of the algorithm to see if a point (with relativly simple coordinates, like i+1) was in the set or out of it. I tinkered a lot with that program and used it to draw out various zoomed in parts of the set, which I put in a newspaper article for school later that month. Later in the article I wrote I section about my Strange Attractor plotters.