Mathematica Package: Geometric Transformation and Complex Function Plot

By Xah Lee. Date: . Last updated: .

Here are two Mathematica packages related to complex functions.


This package provides functions that plot the image of the plane by a transformation function f:ℝ2→ℝ2 or f:ℂ→ℂ. The preimage can be a rectangular grid, polar grid, or any arbitrary image represented by Mathematica Graphics object. The package also plots stereographic projection — a Graphics3D object of a sphere with images on it.

Sample graphics generated by this package can also be seen at:


Use the paypal button below, pay $15. In the comment field, put “Transform2DPlot”. I'll email you the download link. Make sure your email address is included and correct.


The package InvertCircle.m is mainly used to create visually attractive graphics using the idea of geometric inversion. Graphics generated by this package can be seen at Inversion Graphics Gallery.


For other Mathematica packages doing geometry, see: Mathematica Packages