Built-in Mathematica Symbol

RectangleChart3D

RectangleChart3D[{{x₁, y₁, z₁}, {x₂, y₂, z₂}, ...}]
makes a 3D rectangle chart with bars of width x_i, depth y_i and height z_i.

RectangleChart3D[{..., w_i[{x_i, y_i, z_i}, ...], ..., w_j[{x_i, y_j, z_j}, ...], ...}]
makes a 3D rectangle chart with bar features defined by the symbolic wrappers w_k.

RectangleChart3D[{data₁, data₂, ...}]
makes a 3D rectangle chart from multiple datasets data_i.

MORE INFORMATION

Data elements for RectangleChart3D can be given in the following forms:

	{x_i,y_i,z_i}	pure bar width, depth and height
	w_i[{x_i,y_i,z_i}_i,...]	a bar with size {x_i, y_i, z_i} and wrapper w_i
	form_i->m_i	a bar form with metadata m_i

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

Datasets for RectangleChart3D 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 RectangleChart3D, 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 {l_x, l_y} in the label at scaled position {b_x, b_y, b_z} in the bar

RectangleChart3D 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 elements
LegendAppearance	Automatic	overall appearance of legends
Lighting	"Neutral"	simulated light sources to use
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
ViewPoint	Automatic	viewing position

Possible settings for ChartLayout include "Grouped" and "Stepped".

The arguments supplied to ChartElementFunction are the bar region {{x_min, x_max}, {y_min, y_max}, {z_min, z_max}}, the data values {x_i, y_i, z_i}, and 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["RectangleChart3D"].

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

The arguments supplied to ColorFunction consist of x_i, y_i and z_i.

Style and other specifications from options and other constructs in RectangleChart3D 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 (4)

Generate a 3D rectangle chart for width, depth and height values:

Multiple datasets:

Use categorical labels:

Categorical legends:

Set the style for bars:

Pictorial bars:

Procedural bars:

Generate a 3D rectangle chart for width, depth and height values:

Multiple datasets:

Use categorical labels:

Categorical legends:

Set the style for bars:

Pictorial bars:

Procedural bars:

Scope (27)

Items in a dataset are grouped together:

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

Non-real data is taken to be missing:

Use different layouts to display multiple datasets:

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 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:

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:

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 (63)

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:

With no spacing used between bars a quantitative x axis is used:

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:

Get a list of built-in settings for ChartElementFunction:

For detailed settings use Palettes ► ChartElementSchemes:

ChartElementFunction appropriate to show the global scale:

Write a custom ChartElementFunction:

Write a custom ChartElementFunction using ChartElementDataFunction:

Chart with optional labeled drop planes:

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:

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 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 override settings for ChartStyle:

ColorFunction override settings for ChartStyle:

With different style effects they combine:

ChartElements with explicit style settings override settings for ChartStyle:

Color by bar width, depth and height:

Use "Gradient" colors from ColorData:

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

Color by volume:

ColorFunction override settings for ChartStyle:

By default scaled height values are used:

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

ChartLayout is "Grouped" by default:

Use stepped bars:

Use automatic labeling by values through Tooltip and StatusArea:

Do no automatic labeling:

Use Placed 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:

Generate a bar chart with interactive highlighting:

Emphasize performance, by disabling interactive behaviors:

Typically less memory is required non-interactive charts:

Applications (3)

Compare the dollar value produced by each widget maker:

Mouse over the bars for the employee names:

Click on the bars to hear the country name, GDP per capita, poverty fraction, and population:

Get the data for G15 countries:

Mouse over the bars to get the name of the country:

Properties & Relations (2)

Use RectangleChart3D to get a 3D rendering of a RectangleChart:

Use SectorChart3D and BubbleChart as alternative visualizations:

Neat Examples (1)

Chartwork: