  Using computer graphics and visualization algorithms, we extend in this work
the results obtained analytically in [1], on the connectivity domains of
alternated Julia sets, defined by switching the dynamics of two quadratic Julia
sets. As proved in [1], the alternated Julia sets exhibit, as for polynomials
of degree greater than two, the disconnectivity property in addition to the
known dichotomy property (connectedness and totally disconnectedness) which
characterizes the standard Julia sets. Via computer graphics, we unveil these
connectivity domains which are four-dimensional fractals. The computer graphics
results show here, without substituting the proof but serving as a research
guide, that for the alternated Julia sets, the Mandelbrot set consists of the
set of all parameter values, for which each alternated Julia set is not only
connected, but also disconnected.
