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Function to Define Colors in Plots—Wolfram Documentation

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BUILT-IN SYMBOL

ColorFunction

is an option for graphics functions that specifies a function to apply to determine colors of elements.

Details

With ColorFunction->func, the arguments supplied to func are as follows:
Raster a Plot,ListLinePlot,ListLogPlot x, y ParametricPlot x, y, u or x, y, u, v RegionPlot x, y ArrayPlot,ReliefPlot a ContourPlot,ListContourPlot f contour levels DensityPlot,ListDensityPlot f ContourPlot3D,ListContourPlot3D x, y, z, f Plot3D,ListPlot3D,ListSurfacePlot3D,ListPointPlot3D x, y, z ParametricPlot3D x, y, z, u or x, y, z, u, v RegionPlot3D x, y, z Image3D,Raster3D a
With the usual default setting ColorFunctionScaling->True, all arguments supplied to func are scaled to lie in the range 0 to 1.
With ColorFunctionScaling->False, original unscaled values are used.
ColorFunction->"name" is equivalent to ColorFunction->(ColorData["name"][#i]&) where the slot used is as follows: Plot, ListPlot, etc.: #2 (); ArrayPlot, ReliefPlot: #1 (); ContourPlot, DensityPlot, etc.: #1 (); ContourPlot3D, etc.: #4 (); Plot3D, etc.: #3 ().
The list of possible color function names is given by ColorData["Gradients"].
The function specified by ColorFunction 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,…].
In 3D graphics, ColorFunction by default specifies diffuse colors for surfaces.
If an explicit setting is given for ColorRules, MeshShading, or ContourShading, it is used in preference to the setting for ColorFunction.

Examplesopen allclose all Basic Examples (5)

Color the surface by height:

Use predefined gradients:

Color a curve:

Color a matrix:

Color a 3D volume:

Applications (1)

Define a one-dimensional color function:

Properties & Relations (1)

Use predefined color gradients from ColorData:

History

Introduced in 1991 (2.0) | Updated in 1999 (4.0) ▪ 2000 (4.1) ▪ 2002 (4.2) ▪ 2007 (6.0) ▪ 2012 (9.0)

Wolfram Research (1991), ColorFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/ColorFunction.html (updated 2012). Text Wolfram Research (1991), ColorFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/ColorFunction.html (updated 2012).CMS Wolfram Language. 1991. "ColorFunction." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2012. https://reference.wolfram.com/language/ref/ColorFunction.html.APA Wolfram Language. (1991). ColorFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ColorFunction.htmlBibTeX @misc{reference.wolfram_2025_colorfunction, author="Wolfram Research", title="{ColorFunction}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/ColorFunction.html}", note=[Accessed: 12-July-2025 ]}BibLaTeX @online{reference.wolfram_2025_colorfunction, organization={Wolfram Research}, title={ColorFunction}, year={2012}, url={https://reference.wolfram.com/language/ref/ColorFunction.html}, note=[Accessed: 12-July-2025 ]}

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