Fractint's color-cycling option produces some very interesting effects with different fractals. In order to demonstrate some of the effects from within the web-browser, I made 'Animated Gifs'; unfortunately these files are much larger than they should be (as theoretically only the colour palette changes from image to image).
rotation effect in a spiral [Mandelbrot fractal, 101K]
autumn effect [Mandelbrot fractal, 45K]
geyser effect [Barnley set M1, 136K]
tunnel effect [Newton fractal, 110K]
bubbling effect ['Mandelphoenix', 132K]
volcano effect ['Hypercomplex', 105K]
rotation effect in a wheel[Iteration formula: 1/z2, 92K]
plasma effect [Plasma fractal, 63K]