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How to draw a waving flag in TikZ


TikZ and FIFA WorldCup 2018: Flags of Nationstransform shape nonlinear=true vs. accessing coordinatesTikZ: Cropping the Bounding BoxRotate a node but not its content: the case of the ellipse decorationNational flag using TikZHow to define the default vertical distance between nodes?Drawing a flag in Tikz!TikZ: Drawing an arc from an intersection to an intersectionHow to prevent rounded and duplicated tick labels in pgfplots with fixed precision?Esperanto flag in Tikz?Algerian flag in TikzLine up nested tikz enviroments or how to get rid of them













9















Let's take the flag of Germany as an example, because the flag is way quite simple and its waving state can be easily drawn "manually". But I am asking about general flag (the flag of any country/group, even the flag of my team).



Normal flag (1)



documentclass[tikz]standalone
usepackagexcolor
definecolorgerblaRGB0,0,0
definecolorgerredRGB255,0,0
definecolorgeryelRGB255,204,0
begindocument
begintikzpicture
fill[gerbla] (0,2) rectangle (5,3);
fill[gerred] (0,1) rectangle (5,2);
fill[geryel] (0,0) rectangle (5,1);
endtikzpicture
enddocument


enter image description here



Waving flag (2) (the ratio may not be true)



documentclass[tikz]standalone
usepackagexcolor
definecolorgerblaRGB0,0,0
definecolorgerredRGB255,0,0
definecolorgeryelRGB255,204,0
begindocument
begintikzpicture
fill[gerbla] (0,3) to[out=0,in=180] (4,2) -- (4,1) to[out=180,in=0] (0,2) -- cycle;
fill[gerred] (0,2) to[out=0,in=180] (4,1) -- (4,0) to[out=180,in=0] (0,1) -- cycle;
fill[geryel] (0,1) to[out=0,in=180] (4,0) -- (4,-1) to[out=180,in=0] (0,0) -- cycle;
endtikzpicture
enddocument


enter image description here



Advanced waving flag (3)



enter image description here



(unTikZified – image taken from Emojipedia)



Question



How to draw a waving flag? In other word, say I already have a rectangle-shape flag (1), with many patterns and items on it (even with some includegraphics), how can I "wave" (1) to get (2), where



  1. The ratio length/width is still correct.

  2. The images, patterns, etc. on the flag are waved too, and these items still fit correctly with the overall flag.

Bonus question



If I already have (1) or (2), how can I get shadow effects and light effects like (3)?



The code for the flag of the United States, as requested by @marmot:



documentclass[tikz]standalone
usetikzlibraryshapes
usepackagexcolor
begindocument
begintikzpicture
definecolorusbluergb.234,.233,.430
definecolorusaredrgb.698,.132,.203
fill[usared] (0,0) rectangle (1.9,1);
foreach i in 1,3,...,11
 fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
foreach i in 1,2,3,4,5,6 
 foreach j in 1,2,3,4,5 
 node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
 

foreach i in 1,2,3,4,5 
 foreach j in 1,2,3,4 
 node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
 

endtikzpicture
enddocument


enter image description here






tikz-pgf







share|improve this question




























    9















    Let's take the flag of Germany as an example, because the flag is way quite simple and its waving state can be easily drawn "manually". But I am asking about general flag (the flag of any country/group, even the flag of my team).



    Normal flag (1)



    documentclass[tikz]standalone
    usepackagexcolor
    definecolorgerblaRGB0,0,0
    definecolorgerredRGB255,0,0
    definecolorgeryelRGB255,204,0
    begindocument
    begintikzpicture
    fill[gerbla] (0,2) rectangle (5,3);
    fill[gerred] (0,1) rectangle (5,2);
    fill[geryel] (0,0) rectangle (5,1);
    endtikzpicture
    enddocument


    enter image description here



    Waving flag (2) (the ratio may not be true)



    documentclass[tikz]standalone
    usepackagexcolor
    definecolorgerblaRGB0,0,0
    definecolorgerredRGB255,0,0
    definecolorgeryelRGB255,204,0
    begindocument
    begintikzpicture
    fill[gerbla] (0,3) to[out=0,in=180] (4,2) -- (4,1) to[out=180,in=0] (0,2) -- cycle;
    fill[gerred] (0,2) to[out=0,in=180] (4,1) -- (4,0) to[out=180,in=0] (0,1) -- cycle;
    fill[geryel] (0,1) to[out=0,in=180] (4,0) -- (4,-1) to[out=180,in=0] (0,0) -- cycle;
    endtikzpicture
    enddocument


    enter image description here



    Advanced waving flag (3)



    enter image description here



    (unTikZified – image taken from Emojipedia)



    Question



    How to draw a waving flag? In other word, say I already have a rectangle-shape flag (1), with many patterns and items on it (even with some includegraphics), how can I "wave" (1) to get (2), where



    1. The ratio length/width is still correct.

    2. The images, patterns, etc. on the flag are waved too, and these items still fit correctly with the overall flag.

    Bonus question



    If I already have (1) or (2), how can I get shadow effects and light effects like (3)?



    The code for the flag of the United States, as requested by @marmot:



    documentclass[tikz]standalone
    usetikzlibraryshapes
    usepackagexcolor
    begindocument
    begintikzpicture
    definecolorusbluergb.234,.233,.430
    definecolorusaredrgb.698,.132,.203
    fill[usared] (0,0) rectangle (1.9,1);
    foreach i in 1,3,...,11
     fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
    fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
    foreach i in 1,2,3,4,5,6 
     foreach j in 1,2,3,4,5 
     node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
     

    foreach i in 1,2,3,4,5 
     foreach j in 1,2,3,4 
     node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
     

    endtikzpicture
    enddocument


    enter image description here






    tikz-pgf







    share|improve this question


























      9












      9








      9


      4






      Let's take the flag of Germany as an example, because the flag is way quite simple and its waving state can be easily drawn "manually". But I am asking about general flag (the flag of any country/group, even the flag of my team).



      Normal flag (1)



      documentclass[tikz]standalone
      usepackagexcolor
      definecolorgerblaRGB0,0,0
      definecolorgerredRGB255,0,0
      definecolorgeryelRGB255,204,0
      begindocument
      begintikzpicture
      fill[gerbla] (0,2) rectangle (5,3);
      fill[gerred] (0,1) rectangle (5,2);
      fill[geryel] (0,0) rectangle (5,1);
      endtikzpicture
      enddocument


      enter image description here



      Waving flag (2) (the ratio may not be true)



      documentclass[tikz]standalone
      usepackagexcolor
      definecolorgerblaRGB0,0,0
      definecolorgerredRGB255,0,0
      definecolorgeryelRGB255,204,0
      begindocument
      begintikzpicture
      fill[gerbla] (0,3) to[out=0,in=180] (4,2) -- (4,1) to[out=180,in=0] (0,2) -- cycle;
      fill[gerred] (0,2) to[out=0,in=180] (4,1) -- (4,0) to[out=180,in=0] (0,1) -- cycle;
      fill[geryel] (0,1) to[out=0,in=180] (4,0) -- (4,-1) to[out=180,in=0] (0,0) -- cycle;
      endtikzpicture
      enddocument


      enter image description here



      Advanced waving flag (3)



      enter image description here



      (unTikZified – image taken from Emojipedia)



      Question



      How to draw a waving flag? In other word, say I already have a rectangle-shape flag (1), with many patterns and items on it (even with some includegraphics), how can I "wave" (1) to get (2), where



      1. The ratio length/width is still correct.

      2. The images, patterns, etc. on the flag are waved too, and these items still fit correctly with the overall flag.

      Bonus question



      If I already have (1) or (2), how can I get shadow effects and light effects like (3)?



      The code for the flag of the United States, as requested by @marmot:



      documentclass[tikz]standalone
      usetikzlibraryshapes
      usepackagexcolor
      begindocument
      begintikzpicture
      definecolorusbluergb.234,.233,.430
      definecolorusaredrgb.698,.132,.203
      fill[usared] (0,0) rectangle (1.9,1);
      foreach i in 1,3,...,11
       fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
      fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
      foreach i in 1,2,3,4,5,6 
       foreach j in 1,2,3,4,5 
       node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
       

      foreach i in 1,2,3,4,5 
       foreach j in 1,2,3,4 
       node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
       

      endtikzpicture
      enddocument


      enter image description here






      tikz-pgf







      share|improve this question
















      Let's take the flag of Germany as an example, because the flag is way quite simple and its waving state can be easily drawn "manually". But I am asking about general flag (the flag of any country/group, even the flag of my team).



      Normal flag (1)



      documentclass[tikz]standalone
      usepackagexcolor
      definecolorgerblaRGB0,0,0
      definecolorgerredRGB255,0,0
      definecolorgeryelRGB255,204,0
      begindocument
      begintikzpicture
      fill[gerbla] (0,2) rectangle (5,3);
      fill[gerred] (0,1) rectangle (5,2);
      fill[geryel] (0,0) rectangle (5,1);
      endtikzpicture
      enddocument


      enter image description here



      Waving flag (2) (the ratio may not be true)



      documentclass[tikz]standalone
      usepackagexcolor
      definecolorgerblaRGB0,0,0
      definecolorgerredRGB255,0,0
      definecolorgeryelRGB255,204,0
      begindocument
      begintikzpicture
      fill[gerbla] (0,3) to[out=0,in=180] (4,2) -- (4,1) to[out=180,in=0] (0,2) -- cycle;
      fill[gerred] (0,2) to[out=0,in=180] (4,1) -- (4,0) to[out=180,in=0] (0,1) -- cycle;
      fill[geryel] (0,1) to[out=0,in=180] (4,0) -- (4,-1) to[out=180,in=0] (0,0) -- cycle;
      endtikzpicture
      enddocument


      enter image description here



      Advanced waving flag (3)



      enter image description here



      (unTikZified – image taken from Emojipedia)



      Question



      How to draw a waving flag? In other word, say I already have a rectangle-shape flag (1), with many patterns and items on it (even with some includegraphics), how can I "wave" (1) to get (2), where



      1. The ratio length/width is still correct.

      2. The images, patterns, etc. on the flag are waved too, and these items still fit correctly with the overall flag.

      Bonus question



      If I already have (1) or (2), how can I get shadow effects and light effects like (3)?



      The code for the flag of the United States, as requested by @marmot:



      documentclass[tikz]standalone
      usetikzlibraryshapes
      usepackagexcolor
      begindocument
      begintikzpicture
      definecolorusbluergb.234,.233,.430
      definecolorusaredrgb.698,.132,.203
      fill[usared] (0,0) rectangle (1.9,1);
      foreach i in 1,3,...,11
       fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
      fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
      foreach i in 1,2,3,4,5,6 
       foreach j in 1,2,3,4,5 
       node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
       

      foreach i in 1,2,3,4,5 
       foreach j in 1,2,3,4 
       node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
       

      endtikzpicture
      enddocument


      enter image description here






      tikz-pgf




      tikz-pgf






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 19 hours ago







      JouleV

















      asked 20 hours ago









      JouleVJouleV

      11.1k22560




      11.1k22560




















          1 Answer
          1






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          13














          You can use nonlinear transformations to achieve this effect.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandGermanFlag%
          fill[gerbla] (0,2) rectangle (4,3);
          fill[gerred] (0,1) rectangle (4,2);
          fill[geryel] (0,0) rectangle (4,1);
          begindocument
          begintikzpicture[font=sffamily,scale=1]
          beginscope[local bounding box=linear]
           GermanFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           GermanFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (2,3);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (2,0) rectangle (4,3);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          Of course, this works with any flag you have the TikZ code for, including of course your nice US flag.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[local bounding box=linear]
           USFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=2.5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          And here is something for Black Mild.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          tikzdeclarecoordinatesystemflag% https://tex.stackexchange.com/a/434247/121799
           tikz@scan@one@pointrelax(#1)
           flagtransformation

          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          foreach X in 0,5,...,95
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[xshift=X pt,
          local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1); 
           shade[left color=gray,right color=gray!70,middle color=gray!20] 
          (0,1.05) rectangle ++ (-0.1,-3);
          endscope
          endtikzpicture
          enddocument


          enter image description here



          This answer has the codes for many flags, out of which I picked Iceland. (Note that if the flag contains shapes, you need to say transform shape nonlinear=true.) The shading can be added on top.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          definecolorSkyBluergb0.00784314,0.32156864,0.61176473
          definecolorFireRedrgb0.86274511,0.11764706,0.20784314
          newcommandIcelandFlag
          fill[SkyBlue] (0,0) rectangle (25,18);
          fill[white] (7,0) rectangle (11,18);
          fill[white] (0,7) rectangle (25,11);
          fill[FireRed] (8,0) rectangle (10,18);
          fill[FireRed] (0,8) rectangle (25,10);
          begindocument
          begintikzpicture[font=sffamily,scale=0.15]
          beginscope[local bounding box=linear]
           IcelandFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=35cm,local bounding box=nonlinear]
           pgftransformnonlinearflagtransformation
           IcelandFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (12.5,18);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (12.5,0) rectangle (25,18);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          In order to draw a 3d flag, you may use tikz-3dplot.
          With shade you can get something like this. 



          documentclass[tikz]standalone
          usepackagetikz-3dplot 
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          begindocument
          tdplotsetmaincoords7020 
          begintikzpicture[tdplot_main_coords]
          % draw[-stealth] (0,0,0) -- (2,0,0) node[pos=1.1]$x$;
          % draw[-stealth] (0,0,0) -- (0,2,0) node[pos=1.1]$y$;
          foreach X [count=Y] in gerbla,gerred,geryel
          shade[left color=X,right color=X!70!black,middle color=X!70!white] 
          plot[variable=x,domain=0:2] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=2:0] (x,0.2*sin(x*90),3-Y);
          shade[left color=X!70!black,right color=X,middle color=X!70!white] 
          plot[variable=x,domain=2:4] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=4:2] (x,0.2*sin(x*90),3-Y);
          endtikzpicture
          enddocument


          enter image description here






          share|improve this answer

























          • I'm afraid this only answers the bonus question, for flags of Germany, Netherlands, etc. only. How can it deal with, for example, the US flag?

            – JouleV
            20 hours ago






          • 1





            @JouleV It does work if you set transform shape nonlinear=true.

            – marmot
            19 hours ago






          • 1





            @marmot One word: perfect! Thanks you very much!!!!!

            – JouleV
            19 hours ago






          • 1





            @BlackMild I quickly added something, surely it can be improved.

            – marmot
            18 hours ago






          • 1





            @JouleV OK OK, I give in. Now it is attached to some post. ;-)

            – marmot
            18 hours ago












          Your Answer








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          13














          You can use nonlinear transformations to achieve this effect.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandGermanFlag%
          fill[gerbla] (0,2) rectangle (4,3);
          fill[gerred] (0,1) rectangle (4,2);
          fill[geryel] (0,0) rectangle (4,1);
          begindocument
          begintikzpicture[font=sffamily,scale=1]
          beginscope[local bounding box=linear]
           GermanFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           GermanFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (2,3);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (2,0) rectangle (4,3);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          Of course, this works with any flag you have the TikZ code for, including of course your nice US flag.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[local bounding box=linear]
           USFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=2.5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          And here is something for Black Mild.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          tikzdeclarecoordinatesystemflag% https://tex.stackexchange.com/a/434247/121799
           tikz@scan@one@pointrelax(#1)
           flagtransformation

          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          foreach X in 0,5,...,95
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[xshift=X pt,
          local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1); 
           shade[left color=gray,right color=gray!70,middle color=gray!20] 
          (0,1.05) rectangle ++ (-0.1,-3);
          endscope
          endtikzpicture
          enddocument


          enter image description here



          This answer has the codes for many flags, out of which I picked Iceland. (Note that if the flag contains shapes, you need to say transform shape nonlinear=true.) The shading can be added on top.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          definecolorSkyBluergb0.00784314,0.32156864,0.61176473
          definecolorFireRedrgb0.86274511,0.11764706,0.20784314
          newcommandIcelandFlag
          fill[SkyBlue] (0,0) rectangle (25,18);
          fill[white] (7,0) rectangle (11,18);
          fill[white] (0,7) rectangle (25,11);
          fill[FireRed] (8,0) rectangle (10,18);
          fill[FireRed] (0,8) rectangle (25,10);
          begindocument
          begintikzpicture[font=sffamily,scale=0.15]
          beginscope[local bounding box=linear]
           IcelandFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=35cm,local bounding box=nonlinear]
           pgftransformnonlinearflagtransformation
           IcelandFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (12.5,18);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (12.5,0) rectangle (25,18);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          In order to draw a 3d flag, you may use tikz-3dplot.
          With shade you can get something like this. 



          documentclass[tikz]standalone
          usepackagetikz-3dplot 
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          begindocument
          tdplotsetmaincoords7020 
          begintikzpicture[tdplot_main_coords]
          % draw[-stealth] (0,0,0) -- (2,0,0) node[pos=1.1]$x$;
          % draw[-stealth] (0,0,0) -- (0,2,0) node[pos=1.1]$y$;
          foreach X [count=Y] in gerbla,gerred,geryel
          shade[left color=X,right color=X!70!black,middle color=X!70!white] 
          plot[variable=x,domain=0:2] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=2:0] (x,0.2*sin(x*90),3-Y);
          shade[left color=X!70!black,right color=X,middle color=X!70!white] 
          plot[variable=x,domain=2:4] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=4:2] (x,0.2*sin(x*90),3-Y);
          endtikzpicture
          enddocument


          enter image description here






          share|improve this answer

























          • I'm afraid this only answers the bonus question, for flags of Germany, Netherlands, etc. only. How can it deal with, for example, the US flag?

            – JouleV
            20 hours ago






          • 1





            @JouleV It does work if you set transform shape nonlinear=true.

            – marmot
            19 hours ago






          • 1





            @marmot One word: perfect! Thanks you very much!!!!!

            – JouleV
            19 hours ago






          • 1





            @BlackMild I quickly added something, surely it can be improved.

            – marmot
            18 hours ago






          • 1





            @JouleV OK OK, I give in. Now it is attached to some post. ;-)

            – marmot
            18 hours ago
















          13














          You can use nonlinear transformations to achieve this effect.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandGermanFlag%
          fill[gerbla] (0,2) rectangle (4,3);
          fill[gerred] (0,1) rectangle (4,2);
          fill[geryel] (0,0) rectangle (4,1);
          begindocument
          begintikzpicture[font=sffamily,scale=1]
          beginscope[local bounding box=linear]
           GermanFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           GermanFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (2,3);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (2,0) rectangle (4,3);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          Of course, this works with any flag you have the TikZ code for, including of course your nice US flag.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[local bounding box=linear]
           USFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=2.5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          And here is something for Black Mild.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          tikzdeclarecoordinatesystemflag% https://tex.stackexchange.com/a/434247/121799
           tikz@scan@one@pointrelax(#1)
           flagtransformation

          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          foreach X in 0,5,...,95
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[xshift=X pt,
          local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1); 
           shade[left color=gray,right color=gray!70,middle color=gray!20] 
          (0,1.05) rectangle ++ (-0.1,-3);
          endscope
          endtikzpicture
          enddocument


          enter image description here



          This answer has the codes for many flags, out of which I picked Iceland. (Note that if the flag contains shapes, you need to say transform shape nonlinear=true.) The shading can be added on top.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          definecolorSkyBluergb0.00784314,0.32156864,0.61176473
          definecolorFireRedrgb0.86274511,0.11764706,0.20784314
          newcommandIcelandFlag
          fill[SkyBlue] (0,0) rectangle (25,18);
          fill[white] (7,0) rectangle (11,18);
          fill[white] (0,7) rectangle (25,11);
          fill[FireRed] (8,0) rectangle (10,18);
          fill[FireRed] (0,8) rectangle (25,10);
          begindocument
          begintikzpicture[font=sffamily,scale=0.15]
          beginscope[local bounding box=linear]
           IcelandFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=35cm,local bounding box=nonlinear]
           pgftransformnonlinearflagtransformation
           IcelandFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (12.5,18);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (12.5,0) rectangle (25,18);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          In order to draw a 3d flag, you may use tikz-3dplot.
          With shade you can get something like this. 



          documentclass[tikz]standalone
          usepackagetikz-3dplot 
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          begindocument
          tdplotsetmaincoords7020 
          begintikzpicture[tdplot_main_coords]
          % draw[-stealth] (0,0,0) -- (2,0,0) node[pos=1.1]$x$;
          % draw[-stealth] (0,0,0) -- (0,2,0) node[pos=1.1]$y$;
          foreach X [count=Y] in gerbla,gerred,geryel
          shade[left color=X,right color=X!70!black,middle color=X!70!white] 
          plot[variable=x,domain=0:2] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=2:0] (x,0.2*sin(x*90),3-Y);
          shade[left color=X!70!black,right color=X,middle color=X!70!white] 
          plot[variable=x,domain=2:4] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=4:2] (x,0.2*sin(x*90),3-Y);
          endtikzpicture
          enddocument


          enter image description here






          share|improve this answer

























          • I'm afraid this only answers the bonus question, for flags of Germany, Netherlands, etc. only. How can it deal with, for example, the US flag?

            – JouleV
            20 hours ago






          • 1





            @JouleV It does work if you set transform shape nonlinear=true.

            – marmot
            19 hours ago






          • 1





            @marmot One word: perfect! Thanks you very much!!!!!

            – JouleV
            19 hours ago






          • 1





            @BlackMild I quickly added something, surely it can be improved.

            – marmot
            18 hours ago






          • 1





            @JouleV OK OK, I give in. Now it is attached to some post. ;-)

            – marmot
            18 hours ago














          13












          13








          13







          You can use nonlinear transformations to achieve this effect.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandGermanFlag%
          fill[gerbla] (0,2) rectangle (4,3);
          fill[gerred] (0,1) rectangle (4,2);
          fill[geryel] (0,0) rectangle (4,1);
          begindocument
          begintikzpicture[font=sffamily,scale=1]
          beginscope[local bounding box=linear]
           GermanFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           GermanFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (2,3);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (2,0) rectangle (4,3);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          Of course, this works with any flag you have the TikZ code for, including of course your nice US flag.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[local bounding box=linear]
           USFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=2.5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          And here is something for Black Mild.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          tikzdeclarecoordinatesystemflag% https://tex.stackexchange.com/a/434247/121799
           tikz@scan@one@pointrelax(#1)
           flagtransformation

          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          foreach X in 0,5,...,95
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[xshift=X pt,
          local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1); 
           shade[left color=gray,right color=gray!70,middle color=gray!20] 
          (0,1.05) rectangle ++ (-0.1,-3);
          endscope
          endtikzpicture
          enddocument


          enter image description here



          This answer has the codes for many flags, out of which I picked Iceland. (Note that if the flag contains shapes, you need to say transform shape nonlinear=true.) The shading can be added on top.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          definecolorSkyBluergb0.00784314,0.32156864,0.61176473
          definecolorFireRedrgb0.86274511,0.11764706,0.20784314
          newcommandIcelandFlag
          fill[SkyBlue] (0,0) rectangle (25,18);
          fill[white] (7,0) rectangle (11,18);
          fill[white] (0,7) rectangle (25,11);
          fill[FireRed] (8,0) rectangle (10,18);
          fill[FireRed] (0,8) rectangle (25,10);
          begindocument
          begintikzpicture[font=sffamily,scale=0.15]
          beginscope[local bounding box=linear]
           IcelandFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=35cm,local bounding box=nonlinear]
           pgftransformnonlinearflagtransformation
           IcelandFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (12.5,18);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (12.5,0) rectangle (25,18);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          In order to draw a 3d flag, you may use tikz-3dplot.
          With shade you can get something like this. 



          documentclass[tikz]standalone
          usepackagetikz-3dplot 
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          begindocument
          tdplotsetmaincoords7020 
          begintikzpicture[tdplot_main_coords]
          % draw[-stealth] (0,0,0) -- (2,0,0) node[pos=1.1]$x$;
          % draw[-stealth] (0,0,0) -- (0,2,0) node[pos=1.1]$y$;
          foreach X [count=Y] in gerbla,gerred,geryel
          shade[left color=X,right color=X!70!black,middle color=X!70!white] 
          plot[variable=x,domain=0:2] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=2:0] (x,0.2*sin(x*90),3-Y);
          shade[left color=X!70!black,right color=X,middle color=X!70!white] 
          plot[variable=x,domain=2:4] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=4:2] (x,0.2*sin(x*90),3-Y);
          endtikzpicture
          enddocument


          enter image description here






          share|improve this answer















          You can use nonlinear transformations to achieve this effect.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandGermanFlag%
          fill[gerbla] (0,2) rectangle (4,3);
          fill[gerred] (0,1) rectangle (4,2);
          fill[geryel] (0,0) rectangle (4,1);
          begindocument
          begintikzpicture[font=sffamily,scale=1]
          beginscope[local bounding box=linear]
           GermanFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           GermanFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (2,3);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (2,0) rectangle (4,3);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          Of course, this works with any flag you have the TikZ code for, including of course your nice US flag.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[local bounding box=linear]
           USFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=2.5cm,local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          And here is something for Black Mild.



          documentclass[tikz,border=3.14mm]standalone
          usetikzlibraryshapes
          usepgfmodulenonlineartransformations
          definecolorusbluergb.234,.233,.430
          definecolorusaredrgb.698,.132,.203
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          tikzdeclarecoordinatesystemflag% https://tex.stackexchange.com/a/434247/121799
           tikz@scan@one@pointrelax(#1)
           flagtransformation

          makeatother
          newcommandUSFlag%
          fill[usared] (0,0) rectangle (1.9,1);
          foreach i in 1,3,...,11
           fill[white] (0,i/13) rectangle (1.9,(i+1)/13);
          fill [usblue] (0,6/13) rectangle (1.9*2/5,1);
          foreach i in 1,2,3,4,5,6 
           foreach j in 1,2,3,4,5 
           node[star,star points=5,star point ratio=2.25,fill=white,
           minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i-(1.9/30),6/13+(7/130)+(7*(j-1)/65)) ;
           

          foreach i in 1,2,3,4,5 
           foreach j in 1,2,3,4 
           node[star,star points=5,star point ratio=2.25,fill=white,minimum size=0.0616cm,inner sep=0pt] at ((1.9/15)*i,6/13+(7*j/65)) ;
           

          begindocument
          foreach X in 0,5,...,95
          begintikzpicture[font=sffamily,scale=2,transform shape]
          beginscope[xshift=X pt,
          local bounding box=nonlinear,transform shape
          nonlinear=true]
           pgftransformnonlinearflagtransformation
           USFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (0.95,1);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0.95,0) rectangle (1.9,1); 
           shade[left color=gray,right color=gray!70,middle color=gray!20] 
          (0,1.05) rectangle ++ (-0.1,-3);
          endscope
          endtikzpicture
          enddocument


          enter image description here



          This answer has the codes for many flags, out of which I picked Iceland. (Note that if the flag contains shapes, you need to say transform shape nonlinear=true.) The shading can be added on top.



          documentclass[tikz,border=3.14mm]standalone
          usepgfmodulenonlineartransformations
          makeatletter
          defflagtransformation%
          pgf@xa=pgf@x%
          pgf@ya=pgf@y%
          %typeoutoldspace x=pgf@xaspace old space y=pgf@ya%
          pgfmathsetmacromyypgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa%
          %typeoutatspace x=thepgf@xa:space newspace y=myy%
          pgf@y=myy pt
          makeatother
          definecolorSkyBluergb0.00784314,0.32156864,0.61176473
          definecolorFireRedrgb0.86274511,0.11764706,0.20784314
          newcommandIcelandFlag
          fill[SkyBlue] (0,0) rectangle (25,18);
          fill[white] (7,0) rectangle (11,18);
          fill[white] (0,7) rectangle (25,11);
          fill[FireRed] (8,0) rectangle (10,18);
          fill[FireRed] (0,8) rectangle (25,10);
          begindocument
          begintikzpicture[font=sffamily,scale=0.15]
          beginscope[local bounding box=linear]
           IcelandFlag
          endscope
          node[anchor=south] (lin) at (linear.north)linear;
          beginscope[xshift=35cm,local bounding box=nonlinear]
           pgftransformnonlinearflagtransformation
           IcelandFlag
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (0,0) rectangle (12.5,18);
           shade[left color=black,right color=black,middle color=white,opacity=0.15]
           (12.5,0) rectangle (25,18);
          endscope
          node[anchor=south] at (lin.south-|nonlinear.north)nonlinear;
          endtikzpicture
          enddocument


          enter image description here



          In order to draw a 3d flag, you may use tikz-3dplot.
          With shade you can get something like this. 



          documentclass[tikz]standalone
          usepackagetikz-3dplot 
          definecolorgerblaRGB0,0,0
          definecolorgerredRGB255,0,0
          definecolorgeryelRGB255,204,0
          begindocument
          tdplotsetmaincoords7020 
          begintikzpicture[tdplot_main_coords]
          % draw[-stealth] (0,0,0) -- (2,0,0) node[pos=1.1]$x$;
          % draw[-stealth] (0,0,0) -- (0,2,0) node[pos=1.1]$y$;
          foreach X [count=Y] in gerbla,gerred,geryel
          shade[left color=X,right color=X!70!black,middle color=X!70!white] 
          plot[variable=x,domain=0:2] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=2:0] (x,0.2*sin(x*90),3-Y);
          shade[left color=X!70!black,right color=X,middle color=X!70!white] 
          plot[variable=x,domain=2:4] (x,0.2*sin(x*90),4-Y)
          -- 
          plot[variable=x,domain=4:2] (x,0.2*sin(x*90),3-Y);
          endtikzpicture
          enddocument


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 18 hours ago

























          answered 20 hours ago









          marmotmarmot

          115k5146277




          115k5146277












          • I'm afraid this only answers the bonus question, for flags of Germany, Netherlands, etc. only. How can it deal with, for example, the US flag?

            – JouleV
            20 hours ago






          • 1





            @JouleV It does work if you set transform shape nonlinear=true.

            – marmot
            19 hours ago






          • 1





            @marmot One word: perfect! Thanks you very much!!!!!

            – JouleV
            19 hours ago






          • 1





            @BlackMild I quickly added something, surely it can be improved.

            – marmot
            18 hours ago






          • 1





            @JouleV OK OK, I give in. Now it is attached to some post. ;-)

            – marmot
            18 hours ago


















          • I'm afraid this only answers the bonus question, for flags of Germany, Netherlands, etc. only. How can it deal with, for example, the US flag?

            – JouleV
            20 hours ago






          • 1





            @JouleV It does work if you set transform shape nonlinear=true.

            – marmot
            19 hours ago






          • 1





            @marmot One word: perfect! Thanks you very much!!!!!

            – JouleV
            19 hours ago






          • 1





            @BlackMild I quickly added something, surely it can be improved.

            – marmot
            18 hours ago






          • 1





            @JouleV OK OK, I give in. Now it is attached to some post. ;-)

            – marmot
            18 hours ago

















          I'm afraid this only answers the bonus question, for flags of Germany, Netherlands, etc. only. How can it deal with, for example, the US flag?

          – JouleV
          20 hours ago





          I'm afraid this only answers the bonus question, for flags of Germany, Netherlands, etc. only. How can it deal with, for example, the US flag?

          – JouleV
          20 hours ago




          1




          1





          @JouleV It does work if you set transform shape nonlinear=true.

          – marmot
          19 hours ago





          @JouleV It does work if you set transform shape nonlinear=true.

          – marmot
          19 hours ago




          1




          1





          @marmot One word: perfect! Thanks you very much!!!!!

          – JouleV
          19 hours ago





          @marmot One word: perfect! Thanks you very much!!!!!

          – JouleV
          19 hours ago




          1




          1





          @BlackMild I quickly added something, surely it can be improved.

          – marmot
          18 hours ago





          @BlackMild I quickly added something, surely it can be improved.

          – marmot
          18 hours ago




          1




          1





          @JouleV OK OK, I give in. Now it is attached to some post. ;-)

          – marmot
          18 hours ago






          @JouleV OK OK, I give in. Now it is attached to some post. ;-)

          – marmot
          18 hours ago


















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