Log Mapping Part 2

Another Example of Regular and Log Mapping

Click to enlarge

Above regular mapping

Click to enlarge

Above log mapping

                          I'll let Fractint's manual explain log mapping.
    " By default, Fractint maps iterations to colors 1:1. I.e. if the
  calculation for a fractal "escapes" (exceeds the bailout value) after N
  iterations, the pixel is colored as color number N. If N is greater than
  the number of colors available, it wraps around. So, if you are using a
  16-color video mode, and you are using the default maximum iteration
  count of 150, your image will run through the 16-color palette 150/16 =
  9.375 times.
     When you use Logarithmic palettes, the entire range of iteration values
  is compressed to map to one span of the color range.  This results in
  spectacularly different images if you are using a high iteration limit
  and are zooming in on an area near a "lakelet" ".

      Above uses log mapping. I used the value given by the auto log map function (logarithmic

   not square root spread). Note that in the first given the rapid cycling of the palette due to the

 density of iteration bands make the figure seen almost noisy. With log mapping the mapping is

much smoother. - Max Iter