BUILT-IN MATHEMATICA SYMBOL

ListVectorPlot3D

ListVectorPlot3D[array]
generates a 3D vector plot from a 3D array of vector field values.

ListVectorPlot3D

generates a 3D vector plot from vector field values

given at specified points

.

ListVectorPlot3D

plots data for several vector fields.

MORE INFORMATION

ListVectorPlot3D by default interpolates the data given, and plots vectors for the vector field at a regular 3D grid of positions.

With the setting VectorPoints->All, ListVectorPlot3D instead shows vectors associated with the particular vector field data points given.

ListVectorPlot3D has the same options as Graphics3D, with the following additions and changes:

BoxRatios	Automatic	ratio of height to width
DataRange	Automatic	the range of x, y, and z values to assume for data
EvaluationMonitor	None	expression to evaluate at every function evaluation
Method	Automatic	methods to use for the plot
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
PlotRange	{Full,Full,Full}	range of x, y, z values to include
PlotRangePadding	Automatic	how much to pad the range of values
RegionFunction	True&	determine what region to include
VectorColorFunction	None	how to color vectors
VectorColorFunctionScaling	True	whether to scale the argument to VectorColorFunction
VectorPoints	Automatic	the number or placement of vectors to plot
VectorScale	Automatic	the scale and size of vectors to plot
VectorStyle	Automatic	how to draw vectors
WorkingPrecision	MachinePrecision	precision to use in internal computations

The arguments supplied to functions in RegionFunction and ColorFunction are x, y, z, , , , Norm.

EXAMPLES

CLOSE ALL

Basic Examples (2)

Plot the vector field interpolated from a specified set of vectors:

Plot the vector field from data specifying coordinates and vectors:

Plot the vector field interpolated from a specified set of vectors:

In[1]:=

Out[1]=

Plot the vector field from data specifying coordinates and vectors:

In[1]:=

In[2]:=

Out[2]=

Scope (11)

Plot vectors for a regular collection of vectors, and give a data range for the domain:

Explicitly set the number of vectors in each direction:

Plot vectors over a specified region:

Plot a vector field with vectors placed with specified densities:

Plot a field with arrows placed at random locations:

Plot the vectors that go through a set of seed points:

Plot a vector field with arrows colored by the Norm of the field:

Plot with 3D arrows:

Plot with arbitrary three-dimensional shapes:

Color and scale the vectors based on the norm of the field:

Plot a vector field with arrows of specified size:

Vary the arrow length and arrowhead size:

Options (51)

By default, BoxRatios is set to Automatic:

Make the height appear twice the width and length:

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

Specify the data range for the domain:

Count how many times the vector field interpolating function is evaluated:

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

The full plot range is used by default:

Use all points to compute the range:

Specify an explicit limit for

,

, and

ranges:

Specify an explicit range that applies to all

,

, and

ranges:

Specify an explicit

range:

Specify an explicit

minimum range:

Specify an explicit

range:

Specify an explicit

maximum range:

Specify an explicit

range:

Specify different

,

, and

ranges:

Padding is computed automatically by default:

Specify no padding for all

,

, and

ranges:

Specify an explicit padding for all

,

, and

ranges:

Add 10% padding to all

,

, and

ranges:

Specify padding for

and

ranges:

Specify different padding for

,

, and

ranges:

Specify padding for the

range:

Use different padding forms for each dimension:

Plot vectors only over certain quadrants:

Plot vectors only over regions where the field magnitude is above a given threshold:

Use any logical combination of conditions:

Color the vectors according to their norm:

Use any named color gradient from ColorData:

Color the vectors according to their

value:

Use VectorColorFunctionScaling->False to get unscaled values:

By default, scaled values are used:

Use VectorColorFunctionScaling->False to get unscaled values:

Use unscaled coordinates in the

direction and scaled coordinates in the

direction:

Explicitly specify the scaling for each color function argument:

Use automatically determined vector points:

Use symbolic names to specify the set of field vectors:

Create a regular grid of field vectors with the same number of arrows for

,

, and

:

Create a regular grid of field vectors with a different number of arrows for

,

, and

:

Specify a list of points for showing field vectors:

Use a different number of field vectors on a regular grid:

The location for vectors is given in the middle of the drawn vector:

Use an automatically determined vector scale:

Specify the relative size of vectors as a fraction of the diagonal of the plot range:

Use symbolic names to control the size of vectors:

With the vector scaling function set to None, all vectors have the same size:

Specify an absolute size for the arrowheads:

Specify arrowhead size relative to the length of the arrow:

Scale the vector length by the absolute value of the

coordinate:

Plot a vector field using 3D arrows:

Use Graphics3D as a style for the 3D arrows:

Use Arrowheads to specify the style of the arrowheads:

3D graphics primitives without Arrowheads are scaled based on the vector scale:

Applications (2)

Use a contour plot to visualize the region of a vector plot:

Plot a vector field over a particular region:

Create a contour plot of the vector plot's region:

Combine the vector and contour plots:

Plot the vector field in a spherical region:

Add an inner sphere:

Properties & Relations (3)

Use VectorPlot3D to visualize functions:

Visualizing 2D vector field data:

Visualizing 2D vector field functions: