Wolfram Language, Visualization, Programming, Math, Complex Analysis.
+ I*y)^2]/Pi}, {y, 1.0, -1.0, -0.01}, {x, -1.0, 1.0, 0.01} ]] Because the range of Arg is -Pi to Pi we need to apply some rescaling to avoid negative brightness values (which are completely black). Now we have a visualization of the complex z² function which both shows the absolute value (in hues)