Superposed Contour and Parametric Plots in the Complex Plane
This Demonstration shows superposed contour and parametric plots for a complex function . The contours are taken at and for . The colors are determined by the quadrant of the image of .
 Frank A. Farris, Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, Princeton: Princeton University Press, 2015 pp. 35–36.
"Superposed Contour and Parametric Plots in the Complex Plane"
Wolfram Demonstrations Project
Published: March 15 2016