Complex Function Graphics for Mathematica



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@xxxxxxxxxxxxx
http://home.earthlink.net/~djmp/


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Relevant Pages

  • Complex Function Graphics for Mathematica
    ... of the complex function graphics package for Mathematica, Cardano3, is ... available on the Mathematica page of my web site below. ... Plot types are Cartesian/PolarSurface, Cartesian/PolarCoded3D, ...
    (sci.math)
  • Another (extended) Review of Mathematica 6.0
    ... I realize that good computer science and symbolic and numeric algorithms are the bedrock that underlies any CAS. ... However many and perhaps the vast majority of users of Mathematica are not pushing the envelope of symbolic or numerical computation. ... Active Mathematica notebooks have other advantages over traditional printed material. ... I do not consider graphics as a frill but as an absolutely essential part of technical communication. ...
    (sci.math.symbolic)
  • Re: Mathematica: ListPlot, Filling->Axis with Joined->True problem
    ... You can certainly do this with regular Mathematica but it is always somewhat of a chore to make graphics that combine elements from various plot types and possibly include regular graphics primitives and directives. ... ImageSize -> 350] ... If you didn't want filling you could dispense with ListDraw and Presentations altogether and just use: ...
    (sci.math.symbolic)
  • Re: Selling Matlab and Mathematica addons
    ... Mathematica's graphics have been backward for many years. ... I believe most CASs are in this situation, except for visualization add-ons. ... are less awed by eye candy than your average Windows user. ... Half of the reason I used Mathematica was because it could generate good ...
    (sci.math.symbolic)
  • Re: I need serious help!
    ... Rocket science is supposed to make for difficult programming. ... I worked on rocket science software way back when people were actually going to the moon. ... And with the new Mathematica 6, a program developed in those few hours can display its calculations with beautiful, fully-interactive, 3D graphics. ...
    (comp.lang.ruby)