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BUILT-IN MATHEMATICA SYMBOL
PolarPlot[r, {
, min, max}]
generates a polar plot of a curve with radius r as a function of angle .
PolarPlot[{f1, f2, ...}, {, min, max}]
makes a polar plot of curves with radius functions 
, 
, ... .
Details and Options
- The angle
is measured in radians, counterclockwise from the positive 
axis. - The
, 
position corresponding to 
, 
is 
, 
. The value of 
need not be between 
and 
. - PolarPlot treats the variable
as local, effectively using Block. - PolarPlot has attribute HoldAll and evaluates functions only after assigning specific numerical values to
. - In some cases, it may be more efficient to use Evaluate to evaluate functions symbolically before specific numerical values are assigned to
. - No curve is drawn in any region where a function evaluates to None.
- PolarPlot has the same options as Graphics, with the following additions and changes:
-
Axes True whether to draw axes AxesOrigin {0,0} the origin where axes cross ColorFunction Automatic how to determine the coloring of curves ColorFunctionScaling True whether to scale arguments to ColorFunction EvaluationMonitor None expression to evaluate at every function evaluation Exclusions Automatic points in 
to excludeExclusionsStyle None what to draw at excluded points MaxRecursion Automatic the maximum number of recursive subdivisions allowed Mesh None how many mesh points to draw on each curve MeshFunctions {#3&} how to determine the placement of mesh points MeshShading None how to shade regions between mesh points MeshStyle Automatic the style for mesh points Method Automatic the method to use for refining curves PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLegends None legends for curves PlotPoints Automatic initial number of sample points PlotRange Automatic the range of values to include PlotRangeClipping True whether to clip at the plot range PlotStyle Automatic graphics directives to specify the style for each curve PolarAxes False whether to draw polar axes PolarAxesOrigin Automatic where to draw polar axes PolarGridLines None polar gridlines to draw PolarTicks Automatic polar axes ticks RegionFunction (True&) how to determine whether a point should be included WorkingPrecision MachinePrecision the precision used in internal computations - Interactive labeling can be specified for curves using Tooltip, StatusArea, or Annotation.
- PolarPlot[Tooltip[{f1, f2, ...}], {, min, max}] specifies that the
should be displayed as tooltip labels for the corresponding curves. - Tooltip[f, label] specifies an explicit tooltip label for a curve.
- PolarPlot initially evaluates functions at a number of equally spaced sample points specified by PlotPoints. Then it uses an adaptive algorithm to choose additional sample points, subdividing a given interval at most MaxRecursion times.
- You should realize that with the finite number of sample points used, it is possible for PolarPlot to miss features in your function. To check your results, you should try increasing the settings for PlotPoints and MaxRecursion.
- On[PolarPlot::accbend] makes PolarPlot print a message if it is unable to reach a certain smoothness of curve.
- With Mesh->All, PolarPlot will explicitly draw a point at every position on each curve where each function was sampled.
- The arguments supplied to functions in MeshFunctions and RegionFunction are x, y, , r. Functions in ColorFunction are by default supplied with scaled versions of these arguments.
- The functions are evaluated all along each curve.
- With the default settings Exclusions->Automatic and ExclusionsStyle->None, PolarPlot breaks curves at discontinuities it detects. Exclusions->None joins across discontinuities.
- PolarPlot normally returns Graphics[{Line[...], ...}].
New in 6 | Last modified in 9
