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+c576MP Version
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Julia
Julia
Julia Animation of z2+c Zooming in
z3+c
Julia z4+c
Julia z5+c
Julia z16+c
JuliaQuadratic
z2+0.5z+c z2+z+c z2+1.5z+c z2+2z+c
ZoomCubic
z3+z2+c 0.2z3+z2+c Animation of a*z3+z2+c with a = [0.0,1.0]
Quartic
z4+z2+c
JuliaPentic
z5+z4-0.5z3+cFractional 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 limitOthers
Burning Ship
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Julia Magnet 1
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Julia exp(z)+c sin(z)+c
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Julia cz(1-z)
Julia