Complex Power Functions in Rectangular Coordinates
When we graph a function of a complex variable, we already need two
real dimensions for the range, and two more for the domain. The graph,
therefore, requires four real dimensions, and to represent it on a
plane, or even on a three-dimensional viewing space, requires the use
of projections from four-space into lower-dimensional spaces. Since
we know how to represent the projections of a hypercube, we can use
the same methods to represent the projections of function graphs
contained in a hypercube.
