Smooth spectrum for Mandelbrot Set rendering

Question

I\'m currently writing a program to generate really enormous (65536x65536 pixels and above) Mandelbrot images, and I\'d like to devise a spectrum and coloring scheme that do

Answer 1

Use the smooth coloring algorithm to calculate all of the values within the viewport, then map your palette from the lowest to highest value. Thus, as you zoom in and the higher values are no longer visible, the palette will scale down as well. With the same constants for n and B you will end up with a range of 0.0 to 1.0 for a fully zoomed out set, but at deeper zooms the dynamic range will shrink, to say 0.0 to 0.1 at 200% zoom, 0.0 to 0.0001 at 20000% zoom, etc.