m (Mathematica colours)
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<center>[[Image:mathematica-SunsetColors.png|300px]]</center>
 
<center>[[Image:mathematica-SunsetColors.png|300px]]</center>
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A more serious and clear scheme is to blend between red and blue with white as an intermediate. We use this for convention for bunching/antibunching (white is uncorrelated):
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<pre>
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ColorFunction -> (Blend[{White, Blue, Red}, #] &)
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</pre>
  
 
This module exports a list of ''n'' colors distributed along the gradient:
 
This module exports a list of ''n'' colors distributed along the gradient:
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Table[{Blend[{Red, Blue}, x]}, {x, 0, 1, 1/(n+1)}]
 
Table[{Blend[{Red, Blue}, x]}, {x, 0, 1, 1/(n+1)}]
 
</pre>
 
</pre>
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In <tt>ListPlot</tt>, to have points (markers) have the same color as the lines (which should be the default), add:
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<pre>
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PlotMarkers -> Graphics@{Point[{0, 0}]
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</pre>
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The default colors in modern versions of Mathematica is taken from:&nbsp;[https://mathematica.stackexchange.com/questions/54629/what-are-the-standard-colors-for-plots-in-mathematica-10]
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<pre>
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ColorData[97, "ColorList"]
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</pre>
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One can find the other useful themes&nbsp;[https://mathematica.stackexchange.com/questions/54486/how-to-access-new-colour-schemes-in-version-10]
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<pre>
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"Color"/. Charting`$PlotThemes
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(* BackgroundColor, BlackBackground, BoldColor, ClassicColor, CoolColor,
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    DarkColor,GrayColor, NeonColor,PastelColor, RoyalColor, VibrantColor, WarmColor,
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    DefaultColor, EarthColor, GarnetColor, OpalColor, SapphireColor, SteelColor,
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    SunriseColor, TextbookColor, WaterColor} *)
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Grid[{#,Row@(("DefaultPlotStyle"/.(Method/.
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  Charting`ResolvePlotTheme[#,  ListPlot]))/.
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      Directive[x_,__]:>x)}&/@("Color"/. Charting`$PlotThemes),Dividers->All]
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</pre>
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<center><wz tip="Possible color themes from Mathematica. The default one in later versions is somewhere in the middle:">[[File:mathematica-default-colors.jpg|250px]]</wz></center>

Latest revision as of 09:37, 3 September 2021

Mathematica colours

Mathematica has a rather extensive support for colors, but more often than not, it needs tinkering with.

We like to use the SunsetColors color scheme:

ColorData["SunsetColors"]
Mathematica-SunsetColors.png

A more serious and clear scheme is to blend between red and blue with white as an intermediate. We use this for convention for bunching/antibunching (white is uncorrelated):

ColorFunction -> (Blend[{White, Blue, Red}, #] &)

This module exports a list of n colors distributed along the gradient:

lcol[n_] := 
 Module[{}, Table[ColorData["SunsetColors"][i], {i, 0, 1, 1/(n - 1)}]]

A blending of colors can be done with blend, e.g., that generates a smooth transition from red to blue in n steps:

Table[{Blend[{Red, Blue}, x]}, {x, 0, 1, 1/(n+1)}]

In ListPlot, to have points (markers) have the same color as the lines (which should be the default), add:

PlotMarkers -> Graphics@{Point[{0, 0}]

The default colors in modern versions of Mathematica is taken from: [1]

ColorData[97, "ColorList"]

One can find the other useful themes [2]

"Color"/. Charting`$PlotThemes
 (* BackgroundColor, BlackBackground, BoldColor, ClassicColor, CoolColor,
    DarkColor,GrayColor, NeonColor,PastelColor, RoyalColor, VibrantColor, WarmColor, 
    DefaultColor, EarthColor, GarnetColor, OpalColor, SapphireColor, SteelColor,
    SunriseColor, TextbookColor, WaterColor} *)

 Grid[{#,Row@(("DefaultPlotStyle"/.(Method/. 
   Charting`ResolvePlotTheme[#,   ListPlot]))/.
      Directive[x_,__]:>x)}&/@("Color"/. Charting`$PlotThemes),Dividers->All]
Mathematica-default-colors.jpg