graphics - How can I generate and randomly assign color to annular sectors?

enter image description here

How can I generate such an image and fill every annular sector with a random colour?

Answer

With V10 came RandomColor and ColorSpace

Using Michael E2's wonderful solution

plot =
  ParametricPlot[r {Cos[t], Sin[t]}, {r, 0, 12}, {t, 0, 2 Pi},
   ImageSize -> 500,
   Mesh -> 13,
   MeshShading -> {{Red, Red}, {Red, Red}},
   PlotRange -> {{-9, 9}, {-4, 4}}];

Grid @ Partition[Table[plot /.
    poly_Polygon :> {RandomColor[ColorSpace -> space], poly},

         {space, {"RGB", "XYZ", "CMYK", "Grayscale"}}], 2]

enter image description here

Comments

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plotting - Mathematica: 3D plot based on combined 2D graphs

I have several sigmoidal fits to 3 different datasets, with mean fit predictions plus the 95% confidence limits (not symmetrical around the mean) and the actual data. I would now like to show these different 2D plots projected in 3D as in but then using proper perspective. In the link here they give some solutions to combine the plots using isometric perspective, but I would like to use proper 3 point perspective. Any thoughts? Also any way to show the mean points per time point for each series plus or minus the standard error on the mean would be cool too, either using points+vertical bars, or using spheres plus tubes. Below are some test data and the fit function I am using. Note that I am working on a logit(proportion) scale and that the final vertical scale is Log10(percentage). (* some test data *) data = Table[Null, {i, 4}]; data[[1]] = {{1, -5.8}, {2, -5.4}, {3, -0.8}, {4, -0.2}, {5, 4.6}, {1, -6.4}, {2, -5.6}, {3, -0.7}, {4, 0.04}, {5, 1.0}, {1, -6.8}, {2, -4.7}, {3, -1.

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