For regular data consisting of values, the , , and data reflects its positions in the array:

Provide explicit , , and data ranges by using DataRange :

Give explicit , , , coordinates for points in a density:

For irregular data , the , , and data ranges are inferred from data:

Use RegionFunction to constrain data inclusion more generally:

Plot the density for an array of values given by SparseArray :

Plot the density for an array of values given by QuantityArray :

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

Get tabular data:

Plot tabular data in which each column represents data in the form {x,y,z,f}:

Include a legend for the plot:

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 :

Use a custom opacity function to specify the opacity for each point volume:

TargetUnits specifies which units to use in the visualization:

Use ScalingFunctions in the x direction:

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:

Specify the ratios between the bounding box lengths:

Use ClipPlanes to specify a clipping plane. In this case, clip :

Specify several clip planes, in this case clipping and :

Compare to the general RegionFunction :

Color by scaled f value at x, y, z coordinates:

Use color functions from ColorData :

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

Use unscaled coordinates by setting ColorFunctionScaling to False :

By default, the data range is taken to be the dimension of the array:

Explicitly specify the data range:

Specify the maximum number of data points:

By default, use all the data:

OpacityFunction is Automatic by default:

Use None to make the whole volume opaque:

Use a custom opacity function to specify the opacity for each point volume:

Make values in the intervals and more opaque:

Use a constant opacity Opacity [0.05]:

By default, scaled values are used:

Use unscaled density values by setting OpacityFunctionScaling to False :

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:

By default, the full plot range is shown:

Use specific ranges to show more detail:

Show only function values between 0 and 0.2:

Alternatively:

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

Turn off the grid lines:

Compare different plot themes:

Plot over a ball in , , and :

Show only areas where :

Regions do not have to be connected:

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:

Specify which units to use in the visualization:

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 a probability density function of three variables:

Simulate the distribution and compute the bin counts:

Simulate a random walk and show the path:

Bin the position that the walk hits in space and show the density:

Plot the evolution of two-dimensional cellular automata:

Generate a Menger sponge array:

Plot the evolution of a substitution system:

Simulate a discrete diffusion model of a two-dimensional array of random values by averaging values of a radius-1 neighborhood in the array:

Visualize the phase for a 3D discrete Fourier transform on data:

Bin the position of atoms in a protein and show the density:

Compare with the molecule plot:

Visualize MRI data from a brain:

To get the same orientation used by Image3D , use the option DataReversed :