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StreamColorFunction—Wolfram Language Documentation

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BUILT-IN SYMBOL

Details

The setting for StreamColorFunction is applied at each point along each streamline to determine the color to use to render the streamline.
With the setting StreamColorFunction->func, the arguments supplied to func are as follows:
VectorPlot,ListVectorPlot, StreamPlot,ListStreamPlot, LineIntegralConvolutionPlot, ListLineIntegralConvolutionPlot x, y, v_x, v_y, Norm[{v_x,v_y}] VectorDensityPlot, ListVectorDensityPlot,StreamDensityPlot, ListStreamDensityPlot x, y, v_x, v_y, s
With the usual default setting StreamColorFunctionScaling->True, the arguments supplied to func are scaled to lie in the range 0 to 1.
With StreamColorFunctionScaling->False, original unscaled values are used.
StreamColorFunction->"name" is equivalent to StreamColorFunction->(ColorData["name"][#5]&).
The list of possible color function names is given by ColorData["Gradients"].
The function specified by StreamColorFunction must return color directives such as RGBColor and Hue or named colors such as Red and Blue.
It can also return Opacity, as well as Glow and Specularity.
Combinations of directives can be specified using Directive[g₁,g₂,…].

Examplesopen allclose all Basic Examples (3)

By default, streamlines are colored according to the norm of the vector field:

Use any color gradient from ColorData:

Color streamlines according to the norm of the vector field:

Scope (6)

Define a one-dimensional color function:

Define a two-dimensional color function:

By default, the parameters are scaled to be between 0 and 1:

Use StreamColorFunctionScaling->False to use the unscaled values:

Combine the color function with other styles using StreamStyle:

Style streamlines in density stream plots:

Wolfram Research (2008), StreamColorFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/StreamColorFunction.html. Text Wolfram Research (2008), StreamColorFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/StreamColorFunction.html.CMS Wolfram Language. 2008. "StreamColorFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/StreamColorFunction.html.APA Wolfram Language. (2008). StreamColorFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/StreamColorFunction.htmlBibTeX @misc{reference.wolfram_2025_streamcolorfunction, author="Wolfram Research", title="{StreamColorFunction}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/StreamColorFunction.html}", note=[Accessed: 12-July-2025 ]}BibLaTeX @online{reference.wolfram_2025_streamcolorfunction, organization={Wolfram Research}, title={StreamColorFunction}, year={2008}, url={https://reference.wolfram.com/language/ref/StreamColorFunction.html}, note=[Accessed: 12-July-2025 ]}

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