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ListPolarPlot

 ListPolarPlot[{r1, r2, ...}] plots points equally spaced in angle at radii ri. ListPolarPlot[{{1, r1}, {2, r2}, ...}]plots points at polar coordinates i, ri. ListPolarPlot[{list1, list2, ...}]plots several lists of values.
• ListPolarPlot[list] by default plots each element of list as a separate point.
• The angle is measured in radians, counterclockwise from the positive axis.
• The , position corresponding to , is , . The value of need not be between 0 and .
• In ListPolarPlot[{r1, ..., rn}], r1 is taken to be associated with , and rn with ).
 AspectRatio Automatic ratio of height to width AxesOrigin {0,0} where axes should cross MeshFunctions {#3&} how to determine placement of mesh points 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
Plot a list of radii equally spaced in angle:
Join the points with a line:
Use , coordinates for the data:
Show multiple sets of data:
Plot a list of radii equally spaced in angle:
 Out[1]=
Join the points with a line:
 Out[2]=

Use , coordinates for the data:
 Out[1]=

Show multiple sets of data:
 Out[1]=
 Scope   (15)
For regular data consisting of values, the data range is uniformly spaced:
Provide an explicit data range by using DataRange:
Plot multiple sets of regular data:
For irregular data consisting of value pairs the data range is inferred from data:
Plot multiple sets of irregular data:
Ranges where the data is nonreal are excluded:
Use MaxPlotPoints to limit the number of points used:
PlotRange is selected automatically:
Use PlotRange to focus on areas of interest:
Use Joined to connect datasets with lines:
Multiple datasets are automatically colored to be distinct:
Provide explicit styling to different sets:
Provide an interactive Tooltip for the data:
Use shapes to distinguish different datasets:
Use InterpolationOrder to smooth joined data:
 Options   (62)
The axes normally intersect at :
Specify where the axes cross:
ColorFunction only applies to Joined datasets:
Color by scaled , , and coordinates:
Color with a named color scheme:
ColorFunction has higher priority than PlotStyle for coloring the curve:
ColorFunctionScaling only applies to Joined datasets:
Color the line based on the scaled value:
Manually scale the value:
Lists of radii are equally spaced in angle around the origin:
Give the starting and ending angles:
Each dataset is scaled to the same domain:
Pairs are interpreted as coordinates:
Specifying DataRange in this case has no effect, since values are part of the data:
Joined lines can be interpolated:
By default, linear interpolation is used:
Use zero-order or piecewise-constant interpolation:
Use third-order spline interpolation:
Interpolation order zero to 5:
Join the dataset with a line:
Join the first dataset with a line, but use points for the second dataset:
Join the dataset with a line, and show the original points:
All points are included by default:
Uniformly spaced data is downsampled:
In this case, downsample from to points:
Mesh only applies to Joined datasets:
The initial and final sampling meshes are typically the same:
Interpolated data may introduce points:
Use 20 mesh levels evenly spaced in the direction:
Use an explicit list of values for the mesh in the direction:
Use explicit styles at specific points:
MeshFunctions only applies to Joined datasets:
Use a mesh evenly spaced in the ,, and directions:
Show five mesh levels in the direction (red) and ten in the direction (blue):
MeshShading only applies to Joined datasets:
Alternate red and blue segments of equal angles in the direction:
Use None to remove segments:
MeshShading can be used with PlotStyle:
MeshShading has higher priority than PlotStyle for styling the curve:
Use PlotStyle for some segments by setting MeshShading to Automatic:
MeshShading can be used with ColorFunction and has higher priority:
MeshStyle only applies to Joined datasets:
Color the mesh the same color as the plot:
Use a red mesh in the direction:
Use a red mesh in the direction and a blue mesh in the direction:
Use big red mesh points in the direction:
ListPolarPlot normally uses distinct colors to distinguish different sets of data:
Automatically use colors and shapes to distinguish sets of data:
Use shapes only:
Change the size of the default plot markers:
Use arbitrary text for plot markers:
Use explicit graphics for plot markers:
Use the same symbol for all the sets of data:
Explicitly use a symbol and size:
PlotRange is automatically calculated:
Show the whole dataset:
Use different style directives:
By default, different styles are chosen for multiple datasets:
Explicitly specify the style for different datasets:
PlotStyle applies to both lines and points:
PlotStyle can be combined with ColorFunction:
PlotStyle can be combined with MeshShading and has lower priority:
MeshStyle by default uses the same style as PlotStyle:
ListPolarPlot is a special case of ListPlot:
Use PolarPlot for functions:
Use ListPlot and ListLinePlot for Cartesian plots:
Use ListLogPlot, ListLogLogPlot and ListLogLinearPlot for logarithmic plots:
Use DateListPlot to show data over time:
Use ListPointPlot3D to show three-dimensional points:
Use ListPlot3D to create surfaces from data:
Use ListContourPlot to create contours from continuous data:
Use ListDensityPlot to create densities from continuous data:
Use ArrayPlot and MatrixPlot for arrays of discrete values:
Use RevolutionPlot3D and SphericalPlot3D for cylindrical and spherical coordinates:
Use ParametricPlot for parametric curves:
Parametrized butterflies: