Mandelbrot Evolution

Anyone familiar with the Mandelbrot Set appreciates how beautiful it is. To me, it seems like a glimpse into the underlying fabric of things. Nothing shows this more than seeing how the borders of the set evolve as the number of iterations increases. This channel will be dedicated to animations that demonstrate how the set changes over "time" (the number of iterations).

The music is all original.

My thanks to Christian Stigen Larsen for his JavaScript Mandelbrot Explorer code, which I used as the basis for my own tool. I have added some additional coloring options that I feel demonstrate the evolution more clearly. In particular, the gold and black animations show the Mandelbrot Set in gold and the points outside in black, in contrast to typical coloring. That way you can truly see how the set twists and winds in on itself, always maintaining a single boundary despite incredible convolutions.