ListPolarPlot

ListPolarPlot[{r1,r2,}]

plots points equally spaced in angle at radii ri.

ListPolarPlot[{{θ1,r1},{θ2,r2},}]

plots points at polar coordinates θi, ri.

ListPolarPlot[{list1,list2,}]

plots several lists of values.

Details and Options

Examples

open allclose all

Basic Examples  (3)

Plot a list of radii r equally spaced in angle:

Join the points with a line:

Use θ, r coordinates for the data:

Show multiple sets of data with a legend:

Scope  (29)

Data  (9)

For regular data consisting of r values, the θ data range is uniformly spaced:

Provide an explicit θ data range by using DataRange:

Plot multiple sets of regular data:

For irregular data consisting of θ, r value pairs, the θ 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:

Plot a TimeSeries:

Labeling and Legending  (11)

Add labels to each point:

Use Callout to add a label to a set of points:

Place the label at a position:

Place the label at scaled position:

Place the labels relative to the inside of the data:

Place the labels relative to the outside of the data:

Label the data with PlotLabels:

Label multiple curves:

Use a scaled position:

Specify the text position relative to the point:

Specify the label at {x,y} position:

Reverse the direction of the x axis:

Use a log scale for the radius:

Presentation  (9)

Use Joined to connect datasets with lines:

Multiple datasets are automatically colored to be distinct:

Provide explicit styling to different sets:

Add labels:

Provide an interactive Tooltip for the data:

Use shapes to distinguish different datasets:

Use legends:

Use Legended to add an additional legend:

Use InterpolationOrder to smooth joined data:

Use a theme with dark background and simple ticks:

Options  (92)

ColorFunction  (5)

ColorFunction only applies to Joined datasets:

Color by scaled x, y, theta, and r coordinates:

Color with a named color scheme:

ColorFunction has higher priority than PlotStyle for coloring the curve:

Use Automatic in MeshShading to use ColorFunction:

ColorFunctionScaling  (3)

ColorFunctionScaling only applies to Joined datasets:

Color the line based on the scaled r value:

Manually scale the r value:

DataRange  (4)

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 θ, r coordinates:

Specifying DataRange in this case has no effect, since θ values are part of the data:

ImageSize  (7)

Use named sizes such as Tiny, Small, Medium and Large:

Specify the width of the plot:

Specify the height of the plot:

Allow the width and height to be up to a certain size:

Specify the width and height for a graphic, padding with space if necessary:

Setting AspectRatioFull will fill the available space:

Use maximum sizes for the width and height:

Use ImageSizeFull to fill the available space in an object:

Specify the image size as a fraction of the available space:

InterpolationOrder  (5)

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:

Joined  (3)

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:

LabelingFunction  (7)

By default, points are automatically labeled with strings:

Use LabelingFunction->None to suppress the labels:

Put the labels above the points:

Put them in a tooltip:

Use Callout to label the points:

Label the points with their values:

Label the points with their indices:

Specify an overall label with PlotLabels and put individual labels in Tooltip:

LabelingSize  (2)

Textual labels are shown at their actual sizes:

Specify the size of the text:

Image labels are resized to fit in the plot:

Specify the labeling size:

MaxPlotPoints  (2)

All points are included by default:

Uniformly spaced data is downsampled:

In this case, downsample from to points:

Mesh  (6)

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 θ direction:

Use an explicit list of values for the mesh in the θ direction:

Use explicit styles at specific points:

MeshFunctions  (3)

MeshFunctions only applies to Joined datasets:

Use a mesh evenly spaced in the , , , and directions:

Show 5 mesh levels in the direction (red) and 10 in the direction (blue):

MeshShading  (7)

MeshShading only applies to Joined datasets:

Alternate red and blue segments of equal angles in the θ 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  (5)

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 θ direction:

PlotLabels  (5)

Add labels to the data:

Place the labels above the data:

Place the labels in different locations:

Use scaled position to place the labels:

Place labels relatively to the data:

Use None to not add a label:

PlotLegends  (7)

No legend is used, by default:

Use a list of labels for a legend:

Generate a legend using placeholders:

Legends use the same styles as the plot:

Use Placed to specify the legend placement:

Place the legend inside the plot:

Legend layout changes automatically along with position:

Use PointLegend to change the legend appearance:

PlotMarkers  (8)

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  (2)

PlotRange is automatically calculated:

Show the whole dataset:

PlotStyle  (7)

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:

PlotTheme  (1)

Use a theme with detailed ticks and simple grid lines:

Add a theme with detailed polar grid lines:

Add a color function:

ScalingFunctions  (3)

By default, ListPolarPlot uses natural scale in both axes:

Use ScalingFunctions to reverse the coordinate direction in the y direction:

Use a log scale for the radius:

Properties & Relations  (13)

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:

RadialAxisPlot displays coordinates of -dimensional points around a circle:

Neat Examples  (1)

Parametrized butterflies:

Wolfram Research (2007), ListPolarPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListPolarPlot.html (updated 2022).

Text

Wolfram Research (2007), ListPolarPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListPolarPlot.html (updated 2022).

CMS

Wolfram Language. 2007. "ListPolarPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/ListPolarPlot.html.

APA

Wolfram Language. (2007). ListPolarPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListPolarPlot.html

BibTeX

@misc{reference.wolfram_2024_listpolarplot, author="Wolfram Research", title="{ListPolarPlot}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/ListPolarPlot.html}", note=[Accessed: 22-May-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_listpolarplot, organization={Wolfram Research}, title={ListPolarPlot}, year={2022}, url={https://reference.wolfram.com/language/ref/ListPolarPlot.html}, note=[Accessed: 22-May-2024 ]}