Complex Mapping Viewer

The mouse pointer moves a small domain grid (red) around in the plane. The twisted grid (blue) represents the image of the domain grid under the composition of selected mapping functions [ g(f(z)) ]:

IdentitySquareCubeCardiodSinCosExpInvertPoissonConvexKoebeAirfoil
zz2z3z + (1/2)z2sin zcos zez1/z(1+z)/(1-z)z/(1-z)z/(1-z)2z + 1/z

The header menu allows the user to select either rectangular or polar coordinates for the domain grid.
The baseline menu allows the user to decrease or increase the size of the domain grid. Additionally, it allows the user zoom in or out of the viewing area.

Source Code for applet. Code in applet corrects and modifies code originally authored by Keith Orpen and Djun Kim (University Britsch Columbia).