Manipulate any type of content including numbers:

Formulas:

Programs:

2D graphics:

3D graphics:

Controls:

Use a number of standard controls including Checkbox:

SetterBar:

SetterBar with labels for each element:

Locator:

Multiple Locator objects:

Multiple Locator objects with customized appearances:

Multiple Locator objects with invisible appearances, further customized in the graphic:

Allow additional locators to be created with Click:

Slider2D:

InputField:

IntervalSlider:

ColorSlider:

Use any number of controls:

Use Control inside constructs like Row or Grid to lay out your controls in arbitrary ways:

Use ControlType to specify the type of control:

Use a pure function to write a custom control type:

Link a single variable to multiple controls:

Use default values and annotations for individual controls:

Use any type of expression as an annotation, including typesetting and graphics:

Make the annotation update dynamically:

Break Manipulate controls into groups using Delimiter, Item, etc.:

Use ControlPlacement to place individual controls:

Use both ControlPlacement and annotation elements:

Use dynamically updating annotations as well:

Annotations can contain Control objects or other layout constructs:

By default, controllers only affect a Manipulate when it is selected; use All to override this:

Use ControllerPath to specify the class of controller to use:

Setting ControllerMethod to "Absolute" forces absolute associations rather than relative ones:

Use preset values:

By default, Manipulate only contains a Manipulator:

Use AppearanceElements to specify more controls to be displayed:

By default, no values change until you click in the slider area:

By setting AutoAction, the values change as the mouse moves over the slider area:

By choosing Autorun from the Manipulate menu, each variable is automatically run through:

Use AutorunSequencing to control the order of variables in Autorun:

Specify a different duration for each variable (default 5):

Specify All to run through all variables simultaneously:

Align with the surrounding text:

Specify a fixed content size, displaying scroll bars if needed:

By default, variables are continuously updated:

Setting ContinuousAction to False updates only when the control is released:

Setting it to None does not update the contents until the Update button is clicked:

By default, the output will respond to an external controller if the object is selected:

Using Full makes the output respond only if the object is within the current selection:

Using All makes the output always respond to external controllers:

Using True makes the output respond whenever the notebook has focus:

Using False makes the output never respond to external controllers:

By default, the variables will be associated with suitable controls on the controller device:

Setting ControllerMethod to "Absolute" forces absolute associations rather than relative ones:

By default, Manipulate responds to the first controller that supports all necessary controls:

Use "Gamepad" to specify a controller typically including two analog controls:

Use "Joystick" to specify a controller typically including one primary analog control:

Use "Multi-Axis Controller" for controllers such as those with six analog degrees of freedom:

Use "Detachable" to specify a controller not built into a computer:

Use "BuiltIn" to specify a controller built into a computer:

Specify the location of the controls:

ControlPlacement also affects annotations, whether or not they contain Control objects:

By default, Manipulate chooses a Manipulator to control the specified variable:

Use ControlType to specify the type of control to use, including None:

Slider and VerticalSlider:

Slider2D and Locator:

RadioButton, Setter, Checkbox, and PopupMenu:

ColorSetter and ColorSlider:

InputField:

Specify the control type for each Manipulate variable separately:

ControlType can be combined with individual variable control specifications:

ControlType affects controls specified by Control in the same way:

In the Automatic setting, an appropriate controller is selected:

Use Deinitialization to evaluate expressions when Manipulate is no longer displayed:

By default, both the content and the controls are interactive:

Use Deployed to restrict interactivity to the controls:

By default, certain system-internal contexts are not saved in the initialization option:

Use ExcludedContexts{} to save definitions of all non-protected symbols:

Specify a label at the bottom:

Specify different labels at the bottom and on the left:

Specify labels on each side:

Use preset values for the margins around the content area:

Or use explicit values:

Use symbolic values:

Or use explicit values:

Limit recursive inclusion of symbol definitions to the contexts "c1`" and "c2`" only:

Use Initialization to specify evaluations necessary for the Manipulate output:

Specify stylistic details for labels:

Use compound styles:

Frame labels are affected by LabelStyle:

By default, the variables are localized:

By setting LocalizeVariables, the variables are treated as global:

Specify whether the output should be wrapped in a panel:

Specify whether frame labels should be rotated in the vertical position:

By default, external definitions are lost between kernel sessions:

By setting SaveDefinitions to True, the external definitions are saved with the output:

By default, the initializations are done synchronously:

Force asynchronous initialization:

By default, the evaluation will time out after five seconds:

SynchronousUpdating is disabled; the evaluation will not time out:

Specify symbols that will be used for updating:

Specify local variables which, when changed, respond to the Undo menu command: