RadialAxisPlot

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`RadialAxisPlot`

Updatedshow changeshide changes

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RadialAxisPlot[{y₁,y₂,…,y_n}]

generates a radial axis plot where the y_i are displayed on radial axes equally spaced around the origin.

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RadialAxisPlot[{data₁,data₂,…}]

plots several datasets data_i on the axes.

Details and Options

RadialAxisPlot is also known as radar plot, spider chart or star plot.
RadialAxisPlot is used to visualize multidimensional data by mapping each dimension to an axis, creating a unique shape. The shapes for different data points can then be compared with each other.

The data values y_i can be given in the following forms:
y_i a real-valued number

Quantity[y_i,unit] a quantity with a unit
Values y_i that are not of the forms previously shown are taken to be missing and are not shown.
The data_i have the following forms and interpretations:

	<\|"k₁"y₁,"k₂"y₂,…\|>	values {y₁,y₂,…}
	{y₁"lbl₁",y₂"lbl₂",…}, {y₁,y₂,…}{"lbl₁","lbl₂",…}	values {y₁,y₂,…} with labels {lbl₁,lbl₂,…}
	SparseArray	values as a normal array
	TimeSeries,EventSeries,…	values from time series data
	QuantityArray	magnitudes
	WeightedData	unweighted values

RadialAxisPlot[Tabular[…]cspec] extracts and plots values from the tabular object using the column specification cspec.
The following forms of column specifications cspec are allowed for plotting tabular data:
{col_y1,…,col_yn} plot each column col_yi on its own axis
The following wrappers w can be used for the data_i:

	Annotation[data_i,label]	provide an annotation for the data
	Button[data_i,action]	define an action to execute when the data is clicked
	Callout[data_i,label]	label the data with a callout
	Callout[data_i,label,pos]	place the callout at relative position pos
	EventHandler[data_i,events]	define a general event handler for the data
	Hyperlink[data_i,uri]	make the data a hyperlink
	Labeled[data_i,label]	label the data
	Labeled[data_i,label,pos]	place the label at relative position pos
	Legended[data_i,label]	identify the data in a legend
	PopupWindow[data_i,cont]	attach a popup window to the data
	StatusArea[data_i,label]	display in the status area on mouseover
	Style[data_i,styles]	show the data using the specified styles
	Tooltip[data_i,label]	attach a tooltip to the curve

Wrappers w can be applied at multiple levels:

	{…,w[y_i],…}	wrap the value y_i in data
	{…,w[{x_i,y_i}],…}	wrap the point {x_i,y_i}
	w[data_i]	wrap the data
	w[{data₁,…}]	wrap a collection of data_i
	w₁[w₂[…]]	use nested wrappers

Callout, Labeled and Placed can use the following positions pos:

	Automatic	automatically placed labels
	Above, Below, Before, After	positions around the curve
	"Inside","Outside"	relative to the point along the axis
	{pos,epos}	epos in label placed at relative position pos of the curve

RadialAxisPlot has the same options as Graphics, with the following additions and changes: [List of all options]

Axes	True	whether to draw axes
AxesOrigin	Automatic	where to position the axes
ColorFunction	Automatic	how to determine the coloring of lines
ColorFunctionScaling	True	whether to scale arguments to ColorFunction
Filling	True	filling under each line
FillingStyle	Automatic	style to use for filling
GridLines	Automatic	whether to draw grid lines
GridLinesStyle	Automatic	style to use for grid lines
Joined	Automatic	whether to join points
Method	Automatic	what method to use
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
PlotLayout	Automatic	how to position data
PlotLegends	None	legends for lines
PlotMarkers	Automatic	markers to use to indicate each point
PlotRange	Automatic	range of values to include
PlotStyle	Automatic	graphics directives to determine the style of each line
PlotTheme	$PlotTheme	overall theme for the plot
ScalingFunctions	None	how to scale individual coordinates

The axes are arranged clockwise starting from the positive y axis.
By default, all the axes have the same plot range.
With AxesAutomatic, only the first axis will be shown if all of the axes have the same scale and plot range. If there are any differences, all the axes will be shown.
With the default setting PlotRangeAutomatic, all the axes use the same plot range.
PlotRangeAll uses a different plot range for each axis.
Options that apply to each axis, such as Axes, Ticks and PlotRange, can take the following forms:

	s	use setting s for each axis
	{s₁,…,s_n}	use per-axis setting s₁ for the first axis, etc.
	{…,pats,…}	use setting s for axis positions matching pattern pat

With the form {…,pats,…}, pat can be any pattern. The first pattern that matches an axis position will be used. If no pattern matches an axis position, the default value is used.
The arguments supplied to ColorFunction are y₁,y₂,…,y_n. By default, the color function arguments are scaled per axis to be between 0 and 1.
Possible settings for PlotLayout that show multiple points in a single plot panel include:
"Overlaid" show all the data overlapping

"Stacked" accumulate the data

"Percentile" accumulate and normalize the data
Possible settings for PlotLayout that show a single point in multiple plot panels include:

	"Column"	use separate curves in a column of panels
	"Row"	use separate curves in a row of panels
	{"Column",k},{"Row",k}	use k columns or rows
	{"Column",UpTo[k]},{"Row",UpTo[k]}	use at most k columns or rows

List of all options

AlignmentPoint	Center	the default point in the graphic to align with
AspectRatio	Automatic	ratio of height to width
Axes	True	whether to draw axes
AxesLabel	None	axes labels
AxesOrigin	Automatic	where to position the axes
AxesStyle	{}	style specifications for the axes
Background	None	background color for the plot
BaselinePosition	Automatic	how to align with a surrounding text baseline
BaseStyle	{}	base style specifications for the graphic
ColorFunction	Automatic	how to determine the coloring of lines
ColorFunctionScaling	True	whether to scale arguments to ColorFunction
ContentSelectable	Automatic	whether to allow contents to be selected
CoordinatesToolOptions	Automatic	detailed behavior of the coordinates tool
Epilog	{}	primitives rendered after the main plot
Filling	True	filling under each line
FillingStyle	Automatic	style to use for filling
FormatType	TraditionalForm	the default format type for text
Frame	False	whether to put a frame around the plot
FrameLabel	None	frame labels
FrameStyle	{}	style specifications for the frame
FrameTicks	Automatic	frame ticks
FrameTicksStyle	{}	style specifications for frame ticks
GridLines	Automatic	whether to draw grid lines
GridLinesStyle	Automatic	style to use for grid lines
ImageMargins	0.	the margins to leave around the graphic
ImagePadding	All	what extra padding to allow for labels etc.
ImageSize	Automatic	the absolute size at which to render the graphic
Joined	Automatic	whether to join points
LabelStyle	{}	style specifications for labels
Method	Automatic	what method to use
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
PlotLabel	None	an overall label for the plot
PlotLayout	Automatic	how to position data
PlotLegends	None	legends for lines
PlotMarkers	Automatic	markers to use to indicate each point
PlotRange	Automatic	range of values to include
PlotRangeClipping	False	whether to clip at the plot range
PlotRangePadding	Automatic	how much to pad the range of values
PlotRegion	Automatic	the final display region to be filled
PlotStyle	Automatic	graphics directives to determine the style of each line
PlotTheme	$PlotTheme	overall theme for the plot
PreserveImageOptions	Automatic	whether to preserve image options when displaying new versions of the same graphic
Prolog	{}	primitives rendered before the main plot
RotateLabel	True	whether to rotate y labels on the frame
ScalingFunctions	None	how to scale individual coordinates
Ticks	Automatic	axes ticks
TicksStyle	{}	style specifications for axes ticks

Examples

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Basic Examples (3)Summary of the most common use cases

Plot multidimensional data:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-p0s6vz

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Plot multiple datasets:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-4ejfre

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Use ColorFunction to style lines by the values on the first axis:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-wwmukn

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Scope (23)Survey of the scope of standard use cases

General Data (6)

RadialAxisPlot visualize multidimensional data by placing each dimension on an axis with a shared origin:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-g9dj23

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Automatic PlotRange shows every axis in the same range:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-wj5ch4

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PlotRangeAll shows every axis in its own range:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-okgeko

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Plot multiple datasets:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-oedeyv

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Datasets with different lengths are padded with zero:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-e75z55

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Data with nonreal values are left out:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-kek2or

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Tabular Data (1)

Get tabular data:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-cxnvul

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Plot parallel axis to see relations per row on the table:

In[2]:=2

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https://wolfram.com/xid/0v5zs07a6ggki-jvoexk

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Use different scales for each axis:

In[3]:=3

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https://wolfram.com/xid/0v5zs07a6ggki-bhgk31

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Special Data (2)

Use Quantity to include units with the data:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-toluz6

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Plot the values in TimeSeries:

In[2]:=2

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https://wolfram.com/xid/0v5zs07a6ggki-6bgpac

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Keys in Association are automatically used as axes labels:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-fihqln

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Data Wrapper (4)

Use wrappers on datasets or collections of datasets:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-2bu873

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Wrappers can be nested:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-jlxpe7

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Use PopupWindow to provide additional drilldown information:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-ohlg8x

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Button can be used to trigger any action:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-1wef5i

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Labeling and Legending (6)

Use LabelingFunction to add individual labels to each dataset:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-n7k4uc

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Use the index of datasets provided to LabelingFunction to construct labels:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-7jjnrn

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In[2]:=2

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https://wolfram.com/xid/0v5zs07a6ggki-68gbts

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Put labels before the lines:

In[3]:=3

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https://wolfram.com/xid/0v5zs07a6ggki-jemm0d

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Use Callout to add a label:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-1e68k9

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Use PlotLegends to add a bar legend to represent the colors from ColorFunction:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-ly4666

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Use legends to identify the color groups:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-5u2f9z

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Use Legended to add a legend:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-526k39

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Presentation (4)

Multiple datasets are automatically colored to be distinct:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-jtr7wy

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Provide explicit styling to different curves:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-05k80k

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Use a theme with high-contrast background and line style:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-uhivku

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Include a legend:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-q9k68x

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Options (41)Common values & functionality for each option

Axes (4)

By default, ticks are shared on all axes:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-4roea5

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Different plot ranges force all axes to show ticks:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-mxf267

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0v5zs07a6ggki-frp00u

Out[2]=2

Specify which axes to show as a list:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-h90nw4

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Specify which axes to show as using rules:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-zwv8i

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AxesLabel (2)

Specify labels for the axes:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-rg6t1l

Out[1]=1

Specify which axes should have labels:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-zd0kve

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AxesOrigin (4)

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-umfvt9

Out[1]=1

Specify the starting angle:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-rxwll8

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0v5zs07a6ggki-5pmnqr

Out[2]=2

Specify the radial axis orientation:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-mzkb9v

Out[1]=1

Specify the angular axis starting point:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-i4ob7o

Out[1]=1

ColorFunction (1)

Color curves based on values on the first axis:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-kr00hg

In[2]:=2

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https://wolfram.com/xid/0v5zs07a6ggki-oxo7fi

Out[2]=2

Color curves based on values on the fifth axis:

In[3]:=3

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https://wolfram.com/xid/0v5zs07a6ggki-hxtd3l

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ColorFunctionScaling (1)

Colors are scaled by default:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-w86qco

In[2]:=2

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https://wolfram.com/xid/0v5zs07a6ggki-4vk24x

Out[2]=2

Show unscaled colors:

In[3]:=3

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https://wolfram.com/xid/0v5zs07a6ggki-j00v1s

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Filling (6)

Filling is turned on by default:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-5up6l6

Out[1]=1

Filling is from curve to curve in a stacked layout:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-4glyjp

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Turn off filling:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-6wu8p2

Out[1]=1

Fill between two curves, 1 and 2:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-4o9v25

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Fill between curves 1 and 2 with a specific style:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-4q2fz9

Out[1]=1

Stacked values fill to the curve below:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-j3ljg0

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FillingStyle (1)

Specify the filling style:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-sdiywr

Out[1]=1

Frame (2)

Draw a frame around the plot:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-uw2a94

Out[1]=1

Use an inner frame:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-rxtfqn

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FrameStyle (2)

Change the frame style:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-4lxmim

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Use a different style on the inner frame:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-tx48lh

Out[1]=1

GridLines (3)

Radial grid lines are drawn automatically:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-64nxu7

Out[1]=1

Specify grid lines:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-ixu1sh

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Use different shapes as grid lines:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-8oywbx

Out[1]=1

GridLinesStyle (1)

Draw lines or arcs connecting axes:

In[1]:=1

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https://wolfram.com/xid/0v5zs07a6ggki-pt0bq9

Out[1]=1

PlotLayout (4)

By default, curves are overlapped:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-yf4mx2

Out[1]=1

Use the "Stacked" layout:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-vzeo7i

Out[1]=1

With negative values:

In[2]:=2

✖

https://wolfram.com/xid/0v5zs07a6ggki-09c9o4

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Place the plots in a row:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-vwkmq8

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Place the plots in a column:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-y1l9y8

Out[1]=1

PlotMarkers (2)

There are several built-in sets of markers:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-pi69t6

Out[1]=1

Use unique markers to identify different datasets:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-e8sffh

Out[1]=1

PlotRange (3)

By default, axes share the same automatic plot range:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-43i53l

In[2]:=2

✖

https://wolfram.com/xid/0v5zs07a6ggki-6lbpzd

Out[2]=2

Use individual plot ranges on all axes:

In[3]:=3

✖

https://wolfram.com/xid/0v5zs07a6ggki-y0q7iu

Out[3]=3

Specify a global plot range:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-b9zsk

Out[1]=1

Specify the plot range selectively to each axis using rule replacement:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-4pd122

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PlotRangePadding (4)

Padding is chosen automatically by default:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-u5417s

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No plot range padding:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-sj0biw

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Add absolute plot range padding:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-gqulru

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Specify scaled plot range padding:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-s7ad4p

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PlotStyle (1)

Specify styles for each line:

In[1]:=1

✖

https://wolfram.com/xid/0v5zs07a6ggki-vsh7uj

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Applications (1)Sample problems that can be solved with this function

RadialAxisPlot is naturally great at visualizing sports stats. For example, visualize the performance of the NBA players for the whole 2018–2019 season:

In[1]:=1