Isogonal Mapping

Author

Eric W. Weisstein
September 28, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/ComplexAnalysis/IsogonalMapping.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/IsogonalMapping.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Initialization

<<Graphics`ComplexMap`
<<Graphics`InequalityGraphics`
<<Utilities`Typesetting`

Graphics

Show[GraphicsArray[
CartesianMap[Sequence@@#,
DisplayFunction->Identity,
Axes->False,
PlotRange->{{-2,2},{-2,2}},
PlotLabel->TraditionalForm[f[z]==First[#][z]]]&/@
{
{1/Conjugate[#]&,{-3,3,.2},{-3,3,.2}},
{1/Conjugate[#]^2/2&,{0,2,.1},{-2,2,.1}},
{Conjugate[Sqrt[2/#]]&,{-2,2,.2},{-2,2,.2}}
}
],ImageSize->500]