BUILT-IN MATHEMATICA SYMBOL

BarChart3D

makes a 3D bar chart with bar lengths

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, ....

BarChart3D

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

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BarChart3D

makes a 3D bar chart from multiple datasets

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MORE INFORMATION

Data elements for BarChart3D can be given in the following forms:

	y_i	a pure bar value
	w_i[y_i,...]	a bar with value and wrapper
	form_i->m_i	a bar form with metadata

Data not given in these forms is taken to be missing, and typically yields a gap in the 3D bar chart.

Datasets for BarChart3D 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 BarChart3D, Labeled and Placed allow the following positions:

	Top,Bottom,Left,Right,Center, Front,Back	positions within bars
	Above, Below, Before, After	positions outside bars
	Axis	on the bar origin axis
	{{b_x,b_y,b_z},{l_x,l_y}}	scaled position in the label at scaled position in the bar

BarChart3D has the same options as Graphics3D with the following additions and changes:

Axes	True	whether to draw axes
BarOrigin	Bottom	origin of bars
BarSpacing	Automatic	spacing between bars
Boxed	False	whether to draw a bounding box
ChartBaseStyle	Automatic	overall style for bars
ChartElements	Automatic	graphics to use for each of the bars
ChartElementFunction	Automatic	how to generate raw graphics for bars
ChartLabels	None	labels for data elements and datasets
ChartLayout	Automatic	overall layout to use
ChartLegends	None	legends for data elements and datasets
ChartStyle	Automatic	style for bars
ColorFunction	Automatic	how to color bars
ColorFunctionScaling	True	whether to normalize arguments to ColorFunction
FaceGrids	Automatic	grid lines to draw on the bounding box
LabelingFunction	Automatic	how to label bars
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
ViewPoint	Automatic	viewing position

Possible settings for ChartLayout include , , , and .

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

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

The argument supplied to ColorFunction is .

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

Style and other specifications from options and other constructs in BarChart3D 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)

Generate a 3D bar chart for a list of heights:

Multiple datasets:

Set the style for bars:

Pictorial bars:

Procedural bars:

Generate a 3D bar chart for a list of heights:

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Multiple datasets:

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Set the style for bars:

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Pictorial bars:

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Procedural bars:

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Scope (29)

Items in a dataset are grouped together:

Datasets do not need to have the same number of items:

Nonreal data is taken to be missing and typically yields a gap in the bar chart:

Use different layouts to display multiple datasets:

Stacked layouts are more compact in the horizontal direction:

Control the origin of bars:

Adjust the spacing between bars and groups of bars:

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 bars:

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 bars:

Use built-in programmatically generated bars:

For detailed settings use Palettes ► ChartElementSchemes:

Turn off canvas:

Use Labeled to add a label to a bar:

Use symbolic positions for label placement:

Provide categorical labels for the columns of data:

For rows of data:

For both:

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

Use the third argument of Placed to control formatting of labels:

Provide value labels for bars by using LabelingFunction:

Use Placed to control placement and formatting:

Add categorical legend entries for the columns of data:

For rows of data:

Use Legended to add additional legend entries:

Use Placed to affect the positioning of legends:

Options (69)

Change the bar origin:

Use automatically determined spacing between bars:

Use no spacing:

Use symbolic presets:

Use explicit spacing between bars:

Use explicit spacing between bars and groups of bars:

Position bars within a group, 0.5 bar width apart, and with no space between groups:

Use ChartBaseStyle to style bars:

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 Graphics3D object:

Use a different graphic for each column of data:

Use a different graphic for each row 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:

The pictorial graphic is rotated to always start at the setting used for BarOrigin:

Get a list of built-in settings for ChartElementFunction:

For detailed settings use Palettes ► ChartElementSchemes:

This ChartElementFunction is appropriate to show the global scale:

Write a custom ChartElementFunction:

Write a custom ChartElementFunction using

:

A custom chart element function that draws a drop plane:

Setting the metadata to True turns on the drop plane:

By default labels are placed in the axis:

Labeled wrappers in data will place additional labels:

Use Placed to control label placement:

Symbolic positions outside the bar:

Coordinate-based placement relative to a bar:

Coordinate-based placement relative to a bar at a scaled position in the label:

Use the third argument to Placed to control formatting:

By default labels are associated with columns of data:

Associate labels with rows or datasets:

Label both rows and columns:

Place multiple labels:

BarChart uses a grouped layout by default:

Use stepped bars:

Use stacked bars:

The stacked layout can effectively display many datasets:

Use a percentile stacked layout:

Generate a legend based on chart style:

Use Legended to add additional legend entries:

Use Legended to specify a few 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 for all bars:

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 may override settings for ChartStyle:

ColorFunction may override settings for ChartStyle:

Use ColorFunction to combine different style effects:

ChartElements with explicit style settings may override settings for ChartStyle:

Color by bar height:

Use "Gradient" color strings from ColorData:

Use ColorFunctionScaling->False to get unscaled height values:

ColorFunction may override settings for 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 automatic labeling:

Use symbolic positions to control label placement:

Symbolic positions outside the bar:

Coordinate-based placement relative to a bar:

Control the formatting of labels:

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

Place row, column, and value labels in a Tooltip:

Generate a bar chart with interactive highlighting:

Emphasize performance by disabling interactive behaviors:

Typically less memory is required for noninteractive charts:

Applications (5)

Click on the bars to hear the name of the country and its GDP per capita:

Create a 3D bar chart of the mean monthly temperature of Chicago between 2001 and 2007:

Compare molecular weight of commonly used chemicals:

Create a 3D periodic table of elements, where the bar height represents the atomic weight:

Get price data for a portfolio of companies:

Create a labeling function:

Mouseover the bars to get price information:

Properties & Relations (5)

Use BarChart to get a 2D rendering of bar charts:

BarChart3D is a special case of RectangleChart3D:

Use PieChart and PieChart3D to visualize a list of data as sectors:

Use ListPlot and ListLinePlot to produce line graphs:

Use Histogram to automatically compute binning and draw histograms:

Neat Examples (3)

Pictorial bars: