“Ridges”: A New Way to Render the Mandelbrot Set
A while ago, I noticed that the common way of rendering the set (Constant Dwell) …
The Constant-Dwell Rendering
… tends to form sets of curves that are asymptotic to another implicit set of curves.
… It seemed to me that the older way of rendering obscured much of the important aspects of the structure of the Set — so I set about to identify – and draw – this new set.
I realized that if Dwell is interpreted as height, the new curves correspond to the ridges of a mountain scape.
The “Ridges” Rendering
Success!