Pólya Plot


A Pólya plot is a plot of the vector field of (R[f(z)],-I[f(z)]) of a complex function f(z). Several examples are shown above.

Pólya plots can be created in the Wolfram Language using the following code:

  PolyaFieldPlot[f_, {x_, xmin_, xmax_}, {y_, ymin_, ymax_},
    opts : OptionsPattern[]] :=
   VectorPlot[Evaluate @ {Re[f], -Im[f]},
     {x, xmin, xmax}, {y, ymin, ymax},
     VectorScale -> {Automatic, Automatic, Log[#5 + 1]&},

See also

Slope Field, Tetraview, Vector Field

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Pólya Plot." From MathWorld--A Wolfram Web Resource.

Subject classifications