I made a Mandelbrot & Julia set explorer! https://codepen.io/Oscar_Cunningham/full/ZYGZZVW
I was watching @standupmaths's video https://www.youtube.com/watch?v=0OP9guFmWfs about Mandelbrot and Julia sets, and I could see he was clicking around in @christianp's app looking at the Julia set corresponding to each point in the Mandelbrot set. But I wanted to also be able to click around in the Julia set and see how the Mandelbrot set changed.
Really both the Mandelbrot and Julia sets are two dimensional cross sections of a four dimensional fractal. A point (x,y,a,b) is in this set if the function z ↦ z²+(x+yi) doesn't diverge when iterated starting at a+bi. My app lets you see the slices of (x,y) for fixed a and b, and also (a,b) for fixed x and y.
I don't write JavaScript, so all code is bad and/or stolen.
#Math #Maths #Mathematics #Mandelbrot #MandelbrotSet #Fractal