Built-in Mathematica Symbol

BubbleChart

BubbleChart[{{x₁, y₁, z₁}, {x₂, y₂, z₂}, ...}]
makes a bubble chart with bubbles at positions {x_i, y_i} with sizes z_i.

BubbleChart[{..., w_i[{x_i, y_i, z_i}, ...], ..., w_j[{x_j, y_j, z_j}, ...], ...}]
makes a bubble chart with bubble features defined by the symbolic wrappers w_k.

BubbleChart[{data₁, data₂, ...}]
makes a bubble chart from multiple datasets data_i.

MORE INFORMATION

Data elements for BubbleChart can be given in the following forms:

	{x_i,y_i,z_i}	a pure bubble value
	w_i[{x_i,y_i,z_i},...]	a bubble with value {x_i, y_i, z_i} and wrapper w_i
	form_i→m_i	a sector form with metadata m_i

The values z_i should be positive.

Data not given in these forms is ignored in forming the bubble chart.

Data sets for BubbleChart can be given in the following forms:

	{e₁,e₂,...}	list of elements with or without wrappers
	w[{e₁,e₂,...},...]	wrapper applied to a whole data set
	w[{data₁,data₁,...},...]	wrapper applied to all datasets

The following wrappers can be used for chart elements:

	Annotation[e,label]	provide an annotation
	Button[e,action]	define an action to execute when the element is clicked
	EventHandler[e,...]	define a general event handler for the element
	Hyperlink[e,uri]	make the element act as a hyperlink
	Labeled[e,...]	display the element with labeling
	Legended[e,...]	include features of the element in a chart legend
	Mouseover[e,over]	make the element show a mouseover form
	PopupWindow[e,cont]	attach a popup window to the element
	StatusArea[e,label]	display in the status area when the element is moused over
	Style[e,opts]	show the element using the specified styles
	Tooltip[e,label]	attach an arbitrary tooltip to the element

In BubbleChart, Labeled and Placed allow the following positions:

	Top,Bottom,Left,Right,Center	positions within bubbles
	Above,Below, Before, After	positions outside bubbles
	{{b_x,b_y},{l_x,l_y}}	scaled position {l_x, l_y} in the label at scaled position {b_x, b_y} in the bubble

BubbleChart has the same options as Graphics with the following additions and changes:

AspectRatio	1	overall ratio of width to height
BubbleScale	"Area"	feature scale used for bubbles
BubbleSizes	Automatic	size range to use for bubbles
ChartBaseStyle	Automatic	overall style for bubbles
ChartElementFunction	Automatic	how to generate raw graphics for bubbles
ChartElements	Automatic	graphics to use for each of the bubbles
ChartLabels	None	labels for data elements and datasets
ChartLegends	None	legends for data elements and datasets
ChartStyle	Automatic	style for bubbles
ColorFunction	Automatic	how to color bubbles
ColorFunctionScaling	True	whether to normalize arguments to ColorFunction
Frame	True	whether to draw a frame around the chart
LabelingFunction	Automatic	how to label bubbles
LegendAppearance	Automatic	overall appearance of legends
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize

BubbleChart layers bubbles from largest to smallest for maximal visibility.

The arguments supplied to ChartElementFunction are the bubble region {{x_min,x_max},{y_min,y_max}}, the values {x_i, y_i, z_i} and the metadata {m₁, m₂, ...} from each level in a nested list of datasets.

A list of built-in settings for ChartElementFunction can be obtained from ChartElementData["BubbleChart"].

The arguments supplied to ColorFunction are x, y and z.

Style and other specifications from options and other constructs in BubbleChart are effectively applied in the order ChartStyle, ColorFunction, Style and other wrappers, ChartElements and ChartElementFunction, with later specifications overriding earlier ones.

EXAMPLES

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Basic Examples (3)

Create a bubble chart for a list of triples:

Multiple datasets:

Set the style for bubbles:

Pictorial bubbles:

Procedural bubbles:

Create a bubble chart for a list of triples:

Multiple datasets:

Set the style for bubbles:

Pictorial bubbles:

Procedural bubbles:

Scope (22)

Items in a dataset are colored the same:

Non-real data is taken to be missing:

Use wrappers on individual data, datasets or collections of datasets:

Wrappers can be nested:

Override the default tooltips:

Use any object in the tooltip:

Use PopupWindow to provide additional drilldown information:

Button can be used to trigger any action:

Use an explicit list of styles for the bubbles:

Use any gradient or indexed color schemes from ColorData:

Use color schemes designed for charting:

ChartBaseStyle can be used to set an initial style for all chart elements:

Style can be used to override styles:

Use any graphic for pictorial bubbles:

Use built-in programmatically generated bubbles:

For detailed settings use Palettes ► ChartElementSchemes:

Use Labeled to add a label to a bubble:

Use symbolic positions for label placement:

Use Placed to control the positioning of labels, using the same positions as for Labeled:

Provide value labels for bubbles by using LabelingFunction:

Use legend entries for different datasets:

Use Legended to add additional legend entries:

Use Placed to affect the positioning of legends:

Options (57)

By default the area of a bubble is proportional to the z value:

Compare area scale to diameter scale:

Change the size range of the bubbles:

Use ChartBaseStyle to style all bubbles:

ChartBaseStyle combines with ChartStyle:

ChartStyle may override settings for ChartBaseStyle:

ChartBaseStyle combines with Style:

Style may override settings for ChartBaseStyle:

ChartBaseStyle combines with ColorFunction:

ColorFunction may override settings for ChartBaseStyle:

Create a pictorial chart based on any Graphics object:

Graphics3D:

Image:

Use a different graphic for each dataset:

Graphics are used cyclically:

Styles are inherited from styles set through ChartStyle etc:

Explicit styles set in the graphic will override other style settings:

Create true 3D shaded bubbles:

Get a list of built-in settings for ChartElementFunction:

For more settings use Palettes ► ChartElementSchemes:

Write a custom ChartElementFunction:

Use metadata passed on from the input, in this case charting the data:

Built-in element function may have options, use Palettes ► ChartElementSchemes to set them:

By default labels are placed in the bubbles:

Labeled wrappers in data will place additional labels:

Use Placed to control label placement:

Coordinate based placement relative to a bubble:

Place all labels at the center of each bubble and vary the coordinates within the label:

Use the third argument to Placed to control formatting:

Use a hyperlink label:

Place multiple labels:

Generate a legend based on chart style:

Use Legended to add additional legend entries:

Use Legended to specify indvidual legend entries:

Generate a legend for data sets:

Unused legend labels are dropped:

Legends can be applied to several dimensions:

Use Placed to control the placement of legends:

Use ChartStyle to set the style:

Give a list of styles:

Use "Gradient" colors from ColorData:

Use "Indexed" colors from ColorData:

Styles are used cyclically:

Style each column of data:

Style each row of data:

Style both rows and columns of data:

With both row and column styles the last style may override earlier ones:

Style overrides settings for ChartStyle:

Style may combine with ChartStyle:

ColorFunction overrides settings for ChartStyle:

ColorFunction may combine with ChartStyle:

ChartElements may override settings for ChartStyle:

Color by x coordinate value:

Use ColorFunctionScaling->False, to get unscaled height values:

ColorFunction overrides styles in ChartStyle:

Use ColorFunction to combine different style effects:

By default scaled values are used:

Use ColorFunctionScaling->False, to get unscaled height values:

Use automatic labeling by values through Tooltip and StatusArea:

Do no labeling:

Use Placed to control label placement:

Coordinate based placement relative to a given bubble:

Control the formatting of labels:

Use the given chart labels as arguments to the labeling function:

Generate a bubble chart with interactive highlighting:

Emphasize performance, by disabling interactive behaviors:

Typically less memory is required non-interactive charts:

Applications (5)

Display GDP per capita, poverty fraction and population for countries in Africa:

Define a labeling function for more complex tooltips:

Mouse over the bubbles to view a country's data:

Display oil data for the G15 countries using PieChart for bubbles to indicate import and export:

Click on the bubbles to hear the name of the country, its GDP per capita, and its population:

Get population, weather and coordinate data of large Japanese cities:

Get a map of Japan:

Mouse over the bubbles to get city and temperature information:

Represent clusters of elements based on three properties:

Cluster the elements into groups based on the value of their properties:

Mouse over the bubbles to get element information:

Properties & Relations (2)

Use BubbleChart3D to get a 3D rendering of bubble charts:

Use SectorChart3D and RectangleChart3D as alternative visualizations:

Neat Examples (2)

Chartwork: