Mathematica Package: Geometric Transformation ＆ Complex Function Plot
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:
- Transformation of the Plane I
- Transformation of the Plane II
- Geometric Inversion
- Stereographically Projected Beauties
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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