In the 21^st century the interactions of technology, mathematics, and the visual arts have grown rapidly, developing new and exciting connections. One such nexus has been through visualizations created with technology related to the geometry and analysis of complex functions. It is sometimes said that the goal of complex analysis is to generalize the calculus of real variables to a calculus for complex variables The real calculus emphasizes the graph of the function as the main visualization, but a graph for complex functions needs a four dimensional Euclidean space. Not an easy task. I introduce new dynamic and interactive mapping diagrams created with GeoGebra that enhance the study of complex functions without four dimensions, while providing new visualization tools for the artist.