Both graphs have the same functionality. Drag your mouse on the graph to zoom in, and click on the graph to change the inputs for the other graph
To construct each graph, initial inputs are taken from the coordinates of one graph paired
with one coordinate from the other graph. Next, these two inputs (z and c) are thrown into a recursive formula:
z
n+1 = z
n2 + c
Now, we have a series of numbers that either blows up to infinite, or stays small in value. We then color
code the coordinates according to how quickly (if at all) the series blows up. The result is a beautiful
fractal pattern known as the famous Mandelbrot set and Julia sets, respectively.
For a more rigorous explanation, visit the
Github Repo