
mandelfn

      z(0) = c = pixel
      z(n+1) = c*fn(z(n)).

    Parameters: real & imaginary perturbations of z(0), and fn


Function=[sin|cos|sinh|cosh|exp|log|sqr|...]) is specified with this type.

Prior to version 14, these types were mandelsine, mandelcos, mandelsinh,
mandelcos, and mandelexp.

These are "pseudo-Mandelbrot" mappings for the LambdaFn Julia functions.
They map to their corresponding Julia sets via the spacebar command in
exactly the same fashion as the original M/J sets. In general, they are
interesting mainly because of that property (the function=exp set in
particular is rather boring). Generate the appropriate "Mandelfn" set,
zoom on a likely spot where the colors are changing rapidly, and hit the
spacebar key to plot the Julia set for that particular point.

Try "xmfract type=mandelfn corners=4.68/4.76/-.03/.03 function=cos" for a
graphic demonstration that we're not taking Mandelbrot's name in vain
here. We didn't even know these little buggers were here until Mark
Peterson found this a few hours before the version incorporating Mandelfns
was released.

