Generate a contour plot over standard slice surfaces:

Standard axis-aligned stacked slice surfaces:

Standard boundary surfaces:

Plot the contours over any surface region:

Plotting over a volume primitive is equivalent to plotting over RegionBoundary[reg]:

Plot the contours over the surface :

Plot the contours over multiple surfaces:

Specify the number of stacked planes:

Specify the cutting angle for a center-cut sphere slice:

Use Contours to specify the number of contours:

Or the list of function values to put contours:

Areas where the function becomes nonreal are excluded:

Use RegionFunction to expose obscured slices:

The domain may be specified by a region including Cone:

A formula region including ImplicitRegion:

A mesh-based region including BoundaryMeshRegion:

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:

Style regions between contours with ContourShading:

Use ContourStyle to style the contour lines:

Style the slice surface boundaries with BoundaryStyle:

TargetUnits specifies which units to use in the visualization:

Create a plot with a log-scaled axis:

Reverse the coordinate direction in the direction:

Style the slice surface boundaries with BoundaryStyle:

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 custom length ratios for each side of the bounding box:

Color clipped regions:

Remove clipped regions with None:

Color the contours according to the values:

Use a named color gradient:

Use red when :

By default, scaled values are used:

Use ColorFunctionScalingFalse to get unscaled values:

Use 5 equally spaced contours:

Use automatic contour selection:

Specify an explicit set of contours:

Use specific contours with specific styles:

Specify a style for all contours:

ContourShadingAutomatic computes contour region shading from the ColorFunction:

Cyclically repeat shading styles:

Leave every third contour region empty, starting from the second:

Leave the regions between contours blank:

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

Add a color bar for the different values:

PlotLegends automatically picks up Contours and ContourShading values:

With the setting ContourShadingAutomatic, the colors are derived from ColorFunction:

Control placement of the legend with Placed:

Use more plot points to get a smoother contour:

Show All contours by default:

Show a select range:

Show only function values between 0 and 2:

This is equivalent to the fully qualified form:

Use a theme with detailed grid lines, ticks, and legends:

Any option setting overrides PlotTheme settings, in this case removing face grids:

Compare different plot themes:

Include only the contours where or :

Include only the contours where :

By default, plots have linear scales in all directions:

Create a plot with a log-scaled axis:

Use ScalingFunctions to scale to reverse the coordinate direction in the direction:

Use a scale defined by a function and its inverse:

Slice surfaces that are defined relative to the bounding box are unaffected by scaling functions:

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

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

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 :

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:

Plot the phase using color on the isosurface of a quadrupole potential:

Alternatively, show the on several planes:

Plot spherical waves from three sources in space:

Plot hydrogen orbital densities for quantum numbers , , :

Plot :

Plot :

An electrostatic potential built from a collection of point charges at positions :

Two charges and :

Plot iso charge surfaces:

Show them together:

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

The solution evolves in time along the z axis:

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

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