BUILT-IN MATHEMATICA SYMBOL

BubbleChart3D

makes a 3D bubble chart with bubbles at positions

with sizes

.

BubbleChart3D

makes a 3D bubble chart with bubble features defined by the symbolic wrappers

.

BubbleChart3D

makes a 3D bubble chart from multiple datasets

.

MORE INFORMATION

Data elements for BubbleChart3D can be given in the following forms:

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

The values should be positive.

Data not given in these forms is ignored in forming the 3D bubble chart.

Datasets for BubbleChart3D can be given in the following forms:

	{e₁,e₂,...}	list of elements with or without wrappers
	w[{e₁,e₂,...},...]	wrapper applied to a whole dataset
	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 BubbleChart3D, Labeled and Placed allow the following positions:

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

BubbleChart3D has the same options as Graphics3D with the following additions and changes:

Axes	True	whether to draw axes
AxesEdge	{{-1, -1}, {1, -1}, {-1, -1}}	on which edges to put axes
Boxed	{Left,Bottom,Back}	what faces to draw on a bounding box
BoxRatios	{1,1,1}	bounding 3D box ratios
BubbleScale	"Volume"	size feature 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 the arguments for ColorFunction
FaceGrids	Automatic	grid lines to draw on the bounding box
LabelingFunction	Automatic	how to label bubbles
LegendAppearance	Automatic	overall appearance of legends
Lighting	"Neutral"	simulated light sources to use
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
ScalingFunctions	None	how to scale individual coordinates

With the setting ChartElements->g, the graphic g will be used to form pictorial bubbles consisting of stretched versions of g.

The arguments supplied to ChartElementFunction are the bubble region , the values , and the metadata from each level in a nested list of datasets.

A list of built-in settings for ChartElementFunction can be obtained from .

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

Style and other specifications from options and other constructs in BubbleChart3D 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 3D bubble chart for a list of 4-tuples:

Multiple datasets:

Set the style for bubbles:

Pictorial bubbles:

Procedural bubbles:

Create a 3D bubble chart for a list of 4-tuples:

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Multiple datasets:

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Set the style for bubbles:

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Pictorial bubbles:

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Procedural bubbles:

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Scope (23)

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:

Provide categorical labels for the datasets:

Provide value labels for bubbles by using LabelingFunction:

Use Placed to control placement and formatting:

Add categorical legend entries for the columns of data:

Use Legended to add additional legend entries:

Use Placed to affect the positioning of legends:

Options (56)

By default the volume of a bubble is proportional to the u value:

Compare the volume scale to the diameter scale:

Change the size range of the bubbles:

Use ChartBaseStyle to style all bubbles:

ChartBaseStyle combines with ChartStyle:

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 Graphics3D object:

Use a different graphic for each column of data:

Graphics are used cyclically:

Styles are inherited from styles set through ChartStyle etc.:

Override individual styles by using Style:

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

Get a list of built-in settings for ChartElementFunction:

For detailed settings use Palettes ► ChartElementSchemes:

Write a custom ChartElementFunction:

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

The built-in element function may have options; use Palettes ► ChartElementSchemes to set them:

By default labels are placed in the center of the bubbles:

Labeled wrappers in data will place additional labels:

Use Placed to control label placement:

Use the third argument to Placed to control formatting:

By default labels are associated with columns of data:

Use Placed to affect placements:

Place multiple labels:

Generate a legend based on chart style:

Use Legended to add additional legend entries:

Use Legended to specify individual legend entries:

Generate a legend for datasets:

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:

Use Style to highlight individual data elements:

Give an explicit list of styles:

Use

colors from ColorData:

Use

colors from ColorData:

Use Style to highlight a dataset:

Styles are used cyclically:

Style each row of data or dataset:

Style each column of data:

Style both rows and columns of data:

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

Style may override settings for ChartStyle:

ColorFunction overrides settings for ChartStyle:

Use ColorFunction to combine different style effects:

ChartElements with explicit style settings may override settings for ChartStyle:

Color by

coordinate value:

Use ColorFunctionScaling->False to get unscaled height values:

ColorFunction may override styles in ChartStyle:

Use ColorFunction to combine different style effects:

By default scaled height 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:

Symbolic positions outside the bubble:

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 for non-interactive charts:

Applications (2)

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

Display GDP per capita, poverty, and military expenditures for a list of countries:

Define a labeling function for the tooltips:

Mouseover the bubbles to view a country's data:

Properties & Relations (1)

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

Neat Examples (1)

Here is some chart work: