Here are images from several recursive function forms: zn+1 = f(zn)
Grayscale regions are within the bound set with brightness based on the magnitude. Colored regions are outside the set and are colored by the escape time.
Some example Zoomed in regions and Julia set images have also been included. For consistency the same color scheme is used for all images. 3x3 anti-aliasing is used to eliminate speckling.

Warning - Most of these images are 100MP or larger so you may need to use Save Link As

Mandelbrot and similar
z2+c 576MP Version Zoom Zoom Zoom Zoom Zoom Julia Julia Julia
Animation of z2+c Zooming in

z3+c Julia
z4+c Julia
z5+c Julia
z16+c Julia
Quadratic
z2+0.5z+c
z2+z+c
z2+1.5z+c
z2+2z+c Zoom
Cubic
z3+z2+c
0.2z3+z2+c
Animation of a*z3+z2+c with a = [0.0,1.0]
Quartic
z4+z2+c Julia
Pentic
z5+z4-0.5z3+c
Fractional Powers
z1.5+c
z2.5+c Zoom
z3.5+c
Animation of za+c with a = [1.0,4.0]
Negative Powers
z-2+c Same with higher iteration limit
Others
Burning Ship Zoom Zoom Julia
Magnet 1 Zoom Julia
exp(z)+c
sin(z)+c Zoom Julia
cz(1-z) Julia