plotting - Beautiful Temperature Map

Simple Question: I want to create beautiful density plots like those on a Wikipedia page:

Mathematica has a lot of built-in color functions but none of them is as good as Wikipedia's. I tried "Rainbow", "DarkRainbow", Hue, "TemperatureMap" and "ThermometerColors" so far.

I plot density plots of Zernike Polynomials with "Zernike.m" package. The code I use is as follows:

ClearAll["Global`*"]
<< "Zernike.m"
Table[DensityPlot[
  Zernike[i, Norm[{x, y}], ArcTan[x, y]], {x, y} \[Element] Disk[], 

  PlotRange -> All, ColorFunctionScaling -> False, PlotPoints -> 100, 
  Frame -> False, ColorFunction -> "TemperatureMap", 
  ColorFunctionScaling -> True], {i, 1, 10}]

And the result I'm not satisfied is as follows:

How can I use a color function or create a color function like the one on the Wikipedia? Any advice is appreciated.

Answer

If the built-in color schemes here are not good for you, you can write your own.

See for example a scheme that I often use:

scheme = (Blend[{RGBColor[0.02, 1, 1], RGBColor[0, 0.48, 1], RGBColor[

 0, 0, 0.73], Black, RGBColor[0.6, 0.22, 0], RGBColor[1, 0.55, 0],
  White}, Rescale[#1, {-1, 1}]] &);

BarLegend[{scheme[#] &, {-1, 1}}]

You can change the colours of the scheme to obtain the combination you like the most.

See this question I asked some time ago for some useful details!

Comments

plotting - How to draw lines between specified dots on ListPlot?

I would like to create a plot where I have unconnected dots and some connected. So far, I have figured out how to draw the dots. My code is the following: ListPlot[{{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4,13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full] I have thought using ListLinePlot command, but I don't know how to specify to the command to draw only selected lines between the dots. Do have any suggestions/hints on how to do that? Thank you. Answer One possibility would be to use Epilog with Line : ListPlot[ {{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4, 13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full, Epilog -> { Line[ ...

list manipulation - Selecting multiple columns from a matrix?

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calculus and analysis - Integral of the Sinc product

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