Complex numbers and complex value functions of them comprise an interresting
area of mathematics in their own right,  are of importance in physics and in
engineering, and,  rather more to the point here,  can be used to generate a 
wide range of rather beautiful patterns. This series of experiments explores
that final aspect.

For this series of experiments there are many aspects for which some text in
the normal "Long Description" file is appropriate so it has been split  into
a number of separate files.