With Louise. Tent Rocks,
New Mexico. Dec 2016.
What the colors mean
The program limits the number of iterations, n, to a limiting value, maxit, currently set to 800. If C hasn't diverged by
then it assigns C to the Mandelbrot set and color's its corresponding pixel white.
If it diverges within the the first few values of n (currently set to 18) C is assumed
to be already diverged and color's its pixel black. All other values of n are
assigned a color using the "Color Scheme" menu. There are 3 absolute coloring schemes
where the colors vary smoothly with n between 18 and maxit-1 using a particular spectrum
(Serene, Flamboyant and Goethe's Rainbow). There
are two random schemes where the color values for each n beween 18 and maxit-1 are chosen
at random from two different spectra (Rainbow and Serene). The default
color scheme is "Repeated" where the colors from the Rainbow spectrum are recycled over a repeating
range of n. This scheme was used to create a majority of the images in
the Fractal Gallery
By selecting "Color Scheme" under "Display" you can see how the colors vary
with n for the currently selected color scheme. To return to viewing the pattern,
select "Mandelbrot Fractals" under "Display".