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Complex Function Graphics for Mathematica

  • To: mathgroup at
  • Subject: [mg55832] Complex Function Graphics for Mathematica
  • From: "David Park" <djmp at>
  • Date: Thu, 7 Apr 2005 05:10:15 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

For those needing graphical capability for complex functions a new version of the complex function graphics package for Mathematica, Cardano3, is available on the Mathematica page of my web site below.

Cardano3 is fully documented with a Mathematica Help page for each command and a number of extended examples.

Complex forms of most 2D primitives. Examples: ComplexPoint[z], ComplexLine[{z1,z2,...}], ComplexCurve[f[t],{t,t1,t2}] where f[t] is a complex expression of t.

One or two panel annotated plots and animations. Panels can be filled with any of the various plot types. You can center and zoom to any portion of the complex plane domain.

Plot types are Cartesian/PolarSurface, Cartesian/PolarCoded3D, Cartesian/PolarGrid, Cartesian/PolarContour, CodedDensity (domain coloring), ComplexVector, RiemannSphere and Vanilla (make your own plot).

Multifunction capability is provided for ComplexVector, CartesianGrid, PolarGrid and RiemannSphere plots. Surface rotation and homotopy animations are built-in and it is easy to make many other types of animation.

All of the plot types can be embellished by drawing additional objects. The package is a complete and versatile system for producing complex function graphics. One nice example of customized graphics is animation of a selected set of multifunction complex vector points moving around critical points on a CodedDensity background.

David Park
djmp at 

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