Transform2DPlot is a package for Wolfram language / Mathematica for visualization of planar transformations.
you can plot 2d vector function, or complex valued function, or transform any 2d graphics object, or show them in reimann sphere (stereographically project a plane to a sphere)
Transform2DPlot.wl is the code.
Transform2DPlot_Documentation.nb is the documentation.
Transform2DPlot_gallery.nb is pretty examples.
all exported symbols are fully documented.
http://xahlee.info/complex/Mathematica/packages.html
Thanks to Wolfram Research for sponsor.