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ColorDataFunction
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ColorDataFunction

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ColorDataFunction[range,…]

is a function that represents a color scheme.

Details

Examples

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Basic Examples  (3)Summary of the most common use cases

ColorData returns a ColorDataFunction object:

In[1]:=1
✖
https://wolfram.com/xid/0g7eohamiky-ccjgse
Out[1]=1

Return a color when the specific parameters are applied:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-hncaxn
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-jbm3io
Out[2]=2

Define a color function for the plot:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-c0baku
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-eskj2e
Out[2]=2

Scope  (5)Survey of the scope of standard use cases

ColorData returns a ColorDataFunction object:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-j0qfyo
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-bdq43v
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0g7eohamiky-d9jhx3
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0g7eohamiky-mx7q0j
Out[4]=4

ColorDataFunction returns RGB colors when applied to values within a specific range:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-edxxuz
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-ce2mpf
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0g7eohamiky-lpszj1
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0g7eohamiky-iisfha
Out[4]=4

Gradients and physical schemes are defined on continuous intervals:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-ctvw0k
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-e77nsy
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0g7eohamiky-pfzait
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0g7eohamiky-pp7mq
Out[4]=4
In[5]:=5
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https://wolfram.com/xid/0g7eohamiky-joa0d2
Out[5]=5
In[6]:=6
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https://wolfram.com/xid/0g7eohamiky-oempn4
Out[6]=6

Indexed schemes are defined at discrete values:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-ed5y91
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-csrry1
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0g7eohamiky-cqqhlb
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0g7eohamiky-debhod
Out[4]=4

Named schemes are defined at specific sets of values:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-l6vpd
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-jkvczz
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0g7eohamiky-bmqbsw
Out[3]=3

Properties & Relations  (2)Properties of the function, and connections to other functions

ColorDataFunction from gradients and physical schemes clips values outside of the ranges:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-h5h2hy
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-88m2g
Out[2]=2

ColorDataFunction from indexed schemes repeats the colors periodically:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-fhqyfe
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0g7eohamiky-imjn8v
Out[2]=2

Possible Issues  (1)Common pitfalls and unexpected behavior

In a plot with multiple ColorFunction slots, the first slot is chosen, if not specified:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-k6rmxs
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-fl29rw
Out[2]=2

Specify a pure function so that the plot is colored by height values:

In[3]:=3
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https://wolfram.com/xid/0g7eohamiky-glb4h8
Out[3]=3

Neat Examples  (1)Surprising or curious use cases

A raster image of the web-safe colors:

In[1]:=1
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https://wolfram.com/xid/0g7eohamiky-fsyaw1
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0g7eohamiky-bc4e0h
Out[2]=2
Wolfram Research (2007), ColorDataFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/ColorDataFunction.html.
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Wolfram Research (2007), ColorDataFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/ColorDataFunction.html.

Text

Wolfram Research (2007), ColorDataFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/ColorDataFunction.html.

✖
Wolfram Research (2007), ColorDataFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/ColorDataFunction.html.

CMS

Wolfram Language. 2007. "ColorDataFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ColorDataFunction.html.

✖
Wolfram Language. 2007. "ColorDataFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ColorDataFunction.html.

APA

Wolfram Language. (2007). ColorDataFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ColorDataFunction.html

✖
Wolfram Language. (2007). ColorDataFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ColorDataFunction.html

BibTeX

@misc{reference.wolfram_2025_colordatafunction, author="Wolfram Research", title="{ColorDataFunction}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/ColorDataFunction.html}", note=[Accessed: 17-May-2025 ]}

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@misc{reference.wolfram_2025_colordatafunction, author="Wolfram Research", title="{ColorDataFunction}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/ColorDataFunction.html}", note=[Accessed: 17-May-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_colordatafunction, organization={Wolfram Research}, title={ColorDataFunction}, year={2007}, url={https://reference.wolfram.com/language/ref/ColorDataFunction.html}, note=[Accessed: 17-May-2025 ]}

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@online{reference.wolfram_2025_colordatafunction, organization={Wolfram Research}, title={ColorDataFunction}, year={2007}, url={https://reference.wolfram.com/language/ref/ColorDataFunction.html}, note=[Accessed: 17-May-2025 ]}