.love file here: Controls
Use the mouse to control the real and imaginary parts of z
- The y position of the mouse controls the imaginary part
- The x position of the mouse controls the real part
- The origin is located at the center
Julia sets are intimately connected to the Mandelbrot set in that if you mouse-over any point inside the Mandelbrot set, the corresponding Julia set for that point will be contiguous (locally connected).
All that is to say, if you mouse-over points within the Mandelbrot set, the corresponding Julia set will look nice and connected. If you bring your mouse outside, then it will look like a sparse set of little islands.
Just play around and explore. What happens when you mouse-over each of the bulbs of the Mandelbrot set? Is there a pattern? When you mouse-over each of the chasms? Math is beautiful.