Julia set based on the formula f(z) = z^3 – 3z + 2.95z + c, where c = 0.02845387 + 0.8765557 i. Uses annular orbit traps.

Part of a “parameter map” (i.e. Mandelbrot-like set) based on the formula: (z^3 – 3z^2 + 3)/(z – 0.1) + c. Using “stalks” orbit traps plus angular decomposition with the exterior area split into two regions.

Mandelbrot set with the stalk option turned on.

A Julia set with a square orbit trap.

Part of Mandelbrot set generated with the stalk method. Illustrates the ability of Fractal Domains to order stalks according to how soon in the iteration sequence the escape criterion is satisfied.

This is practically the first fractal I generated with the earlier incarnation of Fractal Domains, FracPPC, after I got the “Stalks” option working. The color map was generated randomly. Portion of a Julia set.

Nest of stalks in a Julia set.

One of my favorite fractals. A portion of the Mandelbrot set with the stalk option turned on.

I fell out of my right place again And you Considered me And now I’m where a snail has to be

I want to thank you for putting me back in my snail shell — They Might Be Giants

A Julia set with the stalk option turned on. A soft, subdued coloration.