Areas where the function becomes nonreal are excluded:

Use PlotPoints to control sampling:

The domain may be specified by a region including Cone :

A formula region including ImplicitRegion :

A mesh-based region including BoundaryMeshRegion :

Use PlotRange to limit ranges to expose more detail:

Use ClipPlanes to specify one or several clipping planes. In this case, clip :

Use RegionFunction to constrain point inclusion more generally:

Use PlotTheme to immediately get overall styling:

Use PlotLegends to get a color bar for the different values:

Control the display of axes with Axes :

Label axes using AxesLabel and the whole plot using PlotLabel :

Color the plot by the function values with ColorFunction :

TargetUnits specifies which units to use in the visualization:

Use a log scale for the axis:

Reverse the axis so that values increase as they go down:

By default, axes are drawn for DensityPlot3D :

Use Axes False to turn off axes:

Use AxesOrigin to specify where the axes intersect:

Turn each axis on individually:

No axes labels are drawn by default:

Place a label on the axis:

Specify axes labels:

Use labels based on variables specified in DensityPlot3D :

The position of the axes is determined automatically:

Specify an explicit origin for the axes:

Change the style for the axes:

Specify the style of each axis:

Use different styles for the ticks and the axes:

Use different styles for the labels and the axes:

By default, the edges of the bounding box have the same length:

Use BoxRatios->Automatic to show the natural scale of the 3D coordinate values:

Use ClipPlanes to specify one or several clipping planes. In this case, clip :

Specify several clip planes, in this case clipping and :

Compare to the general RegionFunction :

Color the function according to the x, y, z, or f values:

Parameters to ColorFunction are normally scaled to be between 0 and 1:

Use unscaled density values by setting ColorFunctionScaling to False :

Use named sizes such as Tiny , Small , Medium and Large :

Specify the width of the plot:

Specify the height of the plot:

Allow the width and height to be up to a certain size:

Specify the width and height for a graphic, padding with space if necessary:

Setting AspectRatio Full will fill the available space:

Use maximum sizes for the width and height:

Use ImageSize Full to fill the available space in an object:

Specify the image size as a fraction of the available space:

OpacityFunction is Automatic by default:

Turn off transparency with OpacityFunction None :

Make values in the intervals and more opaque:

Use a constant opacity Opacity [0.05]:

Use the same opacity function as the one used in Image3D :

Use a custom opacity function to specify the opacity for each density value:

By default, scaled values are used:

Use unscaled density values by setting OpacityFunctionScaling to False :

Specify an unscaled opacity interval:

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

No legends are used by default:

Use PlotLegends->Automatic to show a legended plot:

Use more points to get a smoother density:

Use 2 points in the direction, 4 in the direction, and 8 in the direction:

Show the density plot over the full , , range:

Use specific ranges to show more detail:

Show only function values between 0 and 1:

Equivalently, the full specification:

Use a plot theme:

Option settings override theme settings, in this case removing face grids:

Compare different plot themes:

Plot over a ball in , , and :

Show only areas where :

Regions do not have to be connected:

By default, DensityPlot3D has linear scales in all directions:

Create a plot with a log-scaled axis:

Use ScalingFunctions to reverse the coordinate direction in the direction:

Use an scale defined by a function, specifying the function and its inverse:

Axes and legends are labeled with the units specified by TargetUnits :

Units specified by Quantity are converted to those specified by TargetUnits :

Ticks are placed automatically in each plot:

Use Ticks None to not draw any tick marks:

Place tick marks at specific positions:

Draw tick marks at the specified positions with the specified labels:

Specify tick marks with scaled lengths:

Customize each tick with position, length, labeling and styling:

By default, the ticks and tick labels use the same styles as the axis:

Specify overall ticks style, including the tick labels:

Specify tick style for each of the axes:

Evaluate functions using machine-precision arithmetic:

Plot the function :

Plot the functions and :

Plot the functions and :

Plot the functions and :

Plot the functions and :

Plot the functions and :

Plot , a product of univariate functions:

Plot and , univariate and bivariate functions:

Plot , a trivariate function:

Plot a sum of exponentials sum_ialpha_i exp(-TemplateBox[{{p, -, {p, _, i}}}, Norm]^2):

Pick the points randomly in a box:

Plot the PDF of a distribution:

Simulate the distribution and show point distribution:

Plot the CDF of a distribution:

The SurvivalFunction :

The HazardFunction :

Explore Correlation parameters for a MultinormalDistribution , where ρ_ab is the correlation between a and b:

Correlation between x and y only:

Correlation between y and z only:

Correlation between y and z only, but larger variance in the z component:

Visualize the PDF of a ProductDistribution :

A product of three different distributions:

A product of bivariate and univariate distributions:

Plot the PDF of a CopulaDistribution :

Visualize the PDF of a kernel density estimate of some trivariate data:

Use ClipPlanes to see through the middle:

Visualize a nonlinear sine-Gordon equation in two spatial dimensions with periodic boundary conditions, with time represented along the axis:

The solution evolves in time along the axis:

A cross-sectional view:

Visualize Wolfram's nonlinear wave equation in two spatial dimensions with time represented along the axis:

A cross-sectional view:

Visualize solutions to 3D partial differential equations. In this case, a Poisson equation over a Ball and Dirichlet boundary conditions:

Plot it:

Visualize a field of randomly placed charges:

Plot spherical waves cos(omega TemplateBox[{{p, -, {p, _, i}}}, Norm]) from three sources in space:

Plot an acoustic quadrupole:

Plot hydrogen orbital densities for quantum numbers , , :

Plot :