I am so excited to post this!!!! After hours of hard work I have created a working Mandelbrot set explorer so you can zoom in and out and view this awesome fractal!! I made this because of yesterday's google doodle. Special thanks to @minx28 for helping with some zooming issues. Also thanks to wikipedia and various videos on youtube for helping me understand it lol
How to use
Included in the repl, but just click to go to a position, and from there you can scroll up to zoom in, and scroll down to zoom out. It calculates things quite fast! It also includes colors for EPIC screenshots.
Black dots are in the set. Colored dots are those that diverged (went to infinity), and the color represents how many iterations took.
Show this to your math teacher! I'm sure they will be proud of ya :)
I'm going to do Julia sets later :D
My math project in 8th grade was about this. It's really so cool. Just plotting a bunch of numbers in the complex plane can give you such intricate details and colorful patterns. And if you were to change the parameters of the equation just slightly, it looks completely different. I love it so much.