Skip to main content

plotting - What are the standard colors for plots in Mathematica 10?




Mathematica 10 release appears to have changed the default styling of plots: the most visible changes are thicker lines and different default colors.


Thus, answers to this stackoverflow question are only valid for Mathematica < 10. For example, plots in this code will not give identical output in Mathematica 10, although they do in version 9:


fns = Table[x^n, {n, 0, 5}];
Plot[fns, {x, -1, 1}, PlotStyle -> ColorData[1, "ColorList"]]
Plot[fns, {x, -1, 1}]

enter image description here


So, my question is: what is the new way of getting the default colors to reproduce for own uses?



Answer




The colors alone are indexed color scheme #97:


ColorData[97, "ColorList"]

enter image description here


Update: further digging in reveals these PlotTheme indexed color relationships:


{"Default"   -> 97,  "Earth"       -> 98,  "Garnet"      -> 99,  "Opal"       -> 100,
"Sapphire" -> 101, "Steel" -> 102, "Sunrise" -> 103, "Textbook" -> 104,
"Water" -> 105, "BoldColor" -> 106, "CoolColor" -> 107, "DarkColor" -> 108,
"MarketingColor" -> 109, "NeonColor" -> 109, "PastelColor" -> 110, "RoyalColor" -> 111,
"VibrantColor" -> 112, "WarmColor" -> 113};


The colors are returned as plain RGBColor expressions; the colored squares are merely a formatting directive. You can still see the numeric data with:


ColorData[97, "ColorList"] // InputForm


{RGBColor[0.368417, 0.506779, 0.709798], . . .,
RGBColor[0.28026441037696703, 0.715, 0.4292089322474965]}

You can get a somewhat nicer (rounded decimal) display using standard output by blocking the formatting rules for RGBColor using Defer:


Defer[RGBColor] @@@ ColorData[97, "ColorList"] // Column



RGBColor[0.368417, 0.506779, 0.709798]
. . .
RGBColor[0.280264, 0.715, 0.429209]

To get full styling information for the default and other Themes see:



For example:


Charting`ResolvePlotTheme[Automatic, Plot]


enter image description here


(Actually Automatic doesn't seem to be significant here as I get the same thing using 1 or Pi or "" in its place; apparently anything but another defined Theme.)


Comments

Popular posts from this blog

functions - Get leading series expansion term?

Given a function f[x] , I would like to have a function leadingSeries that returns just the leading term in the series around x=0 . For example: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x)] x and leadingSeries[(1/x + 2 + (1 - 1/x^3)/4)/(4 + x)] -(1/(16 x^3)) Is there such a function in Mathematica? Or maybe one can implement it efficiently? EDIT I finally went with the following implementation, based on Carl Woll 's answer: lds[ex_,x_]:=( (ex/.x->(x+O[x]^2))/.SeriesData[U_,Z_,L_List,Mi_,Ma_,De_]:>SeriesData[U,Z,{L[[1]]},Mi,Mi+1,De]//Quiet//Normal) The advantage is, that this one also properly works with functions whose leading term is a constant: lds[Exp[x],x] 1 Answer Update 1 Updated to eliminate SeriesData and to not return additional terms Perhaps you could use: leadingSeries[expr_, x_] := Normal[expr /. x->(x+O[x]^2) /. a_List :> Take[a, 1]] Then for your examples: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x), x] leadingSeries[Exp[x], x] leadingSeries[(1/x + 2 + (1 - 1/x...

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...