The Wolfram Language provides state-of-the-art fully automated visualization of vector functions and data—suitable for representing flows, field lines, and other vector fields of any complexity.

Vector Plots

VectorPlot , ListVectorPlot — plot vectors from a vector field

VectorPlot3D , ListVectorPlot3D — plot vectors from a 3D vector field

SliceVectorPlot3D , ListSliceVectorPlot3D — plot vectors on a slice surface

Stream Plots

StreamPlot , ListStreamPlot — make a stream plot from a vector field

StreamPlot3D , ListStreamPlot3D — make a stream plot from a 3D vector field

Displacement Plots

VectorDisplacementPlot , ListVectorDisplacementPlot — vector fields displacing objects

VectorDisplacementPlot3D , ListVectorDisplacementPlot3D — vector fields displacing 3D objects

Combination Plots

VectorDensityPlot , ListVectorDensityPlot — vector plot with density background

StreamDensityPlot , ListStreamDensityPlot — stream plot with density background

Convolution Plots

LineIntegralConvolutionPlot , ListLineIntegralConvolutionPlot — vector fields transforming an image

Geographic Visualization »

GeoVectorPlot   ▪ GeoStreamPlot   ▪ ...

Complex Visualization »

ComplexVectorPlot   ▪ ComplexStreamPlot   ▪ ...

Options

StreamPoints , VectorPoints — number or placement of streamlines, vectors

StreamScale — scale and size of streamlines

VectorScaling , VectorSizes — scale and size of vectors

StreamStyle , VectorStyle — color and style of streamlines, vectors

StreamMarkers , VectorMarkers — general shape of streamlines, vectors

ColorFunction , Mesh , MeshFunctions — coloring, meshing, contouring, etc. for scalars

StreamColorFunction   ▪ VectorColorFunction   ▪ RegionFunction

VectorAspectRatio   ▪ VectorRange   ▪ ClippingStyle

Related Guides

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• Function Visualization
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• Data Visualization
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• Differential Equations
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• Angles and Polar Coordinates
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• Visualization Gallery

Related Links

• Wolfram Core Areas: Visualization