The new two-parameter form of now provides the functionality of Graphics`ComplexMap`.

The standard package Graphics`ComplexMap` had tools for visualizing complex-valued functions in this way. More generally, the method can be used for any function. The type of grid used depends on the function. IntroductionĬomplex-valued functions, that is, functions of the form, can be visualized by putting a rectangular or a polar grid in the – plane and plotting the image of the grid in the – plane. The animation and manipulation capabilities of Mathematica are appropriate tools for the purpose. The visualization can be improved in two ways: the graph can be rotated in four-dimensional space or the direction line of the projection can be changed, which means that the observer flies around the graph in four dimensions.

The graph is first projected to three-dimensional space with parallel projection and the image-the surface in three-dimensional space-is rendered on the screen in the usual way. The article presents a method for the visualization of such a graph. The graphs of complex-valued functions or functions of the type are in general two-dimensional manifolds in the space.

Mathematica 11.3 manipulate