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How to draw a waving flag in TikZ


TikZ and FIFA WorldCup 2018: Flags of NationsTikZ: 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?Numerical conditional within tikz keys?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?Drawing rectilinear curves in Tikz, aka an Etch-a-Sketch drawingLine up nested tikz enviroments or how to get rid of them













5















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




























    5















    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


























      5












      5








      5


      1






      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 29 mins ago







      JouleV

















      asked 1 hour ago









      JouleVJouleV

      10.9k22560




      10.9k22560




















          1 Answer
          1






          active

          oldest

          votes


















          6














          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
          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,...,355
          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);
          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
            1 hour ago











          • @JouleV I switched gears completely and used nonlinear transformations. That way you can wave any flag you have the TikZ code for.

            – marmot
            46 mins ago











          • @JouleV Yours is an example if an awesome TikZ question @ marmot and answer, +2

            – CarLaTeX
            30 mins ago







          • 1





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

            – marmot
            20 mins ago






          • 1





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

            – JouleV
            15 mins ago











          Your Answer








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          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
          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,...,355
          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);
          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
            1 hour ago











          • @JouleV I switched gears completely and used nonlinear transformations. That way you can wave any flag you have the TikZ code for.

            – marmot
            46 mins ago











          • @JouleV Yours is an example if an awesome TikZ question @ marmot and answer, +2

            – CarLaTeX
            30 mins ago







          • 1





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

            – marmot
            20 mins ago






          • 1





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

            – JouleV
            15 mins ago















          6














          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
          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,...,355
          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);
          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
            1 hour ago











          • @JouleV I switched gears completely and used nonlinear transformations. That way you can wave any flag you have the TikZ code for.

            – marmot
            46 mins ago











          • @JouleV Yours is an example if an awesome TikZ question @ marmot and answer, +2

            – CarLaTeX
            30 mins ago







          • 1





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

            – marmot
            20 mins ago






          • 1





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

            – JouleV
            15 mins ago













          6












          6








          6







          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
          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,...,355
          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);
          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
          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,...,355
          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);
          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 9 mins ago

























          answered 1 hour ago









          marmotmarmot

          115k5145276




          115k5145276












          • 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
            1 hour ago











          • @JouleV I switched gears completely and used nonlinear transformations. That way you can wave any flag you have the TikZ code for.

            – marmot
            46 mins ago











          • @JouleV Yours is an example if an awesome TikZ question @ marmot and answer, +2

            – CarLaTeX
            30 mins ago







          • 1





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

            – marmot
            20 mins ago






          • 1





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

            – JouleV
            15 mins 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
            1 hour ago











          • @JouleV I switched gears completely and used nonlinear transformations. That way you can wave any flag you have the TikZ code for.

            – marmot
            46 mins ago











          • @JouleV Yours is an example if an awesome TikZ question @ marmot and answer, +2

            – CarLaTeX
            30 mins ago







          • 1





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

            – marmot
            20 mins ago






          • 1





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

            – JouleV
            15 mins 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
          1 hour 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
          1 hour ago













          @JouleV I switched gears completely and used nonlinear transformations. That way you can wave any flag you have the TikZ code for.

          – marmot
          46 mins ago





          @JouleV I switched gears completely and used nonlinear transformations. That way you can wave any flag you have the TikZ code for.

          – marmot
          46 mins ago













          @JouleV Yours is an example if an awesome TikZ question @ marmot and answer, +2

          – CarLaTeX
          30 mins ago






          @JouleV Yours is an example if an awesome TikZ question @ marmot and answer, +2

          – CarLaTeX
          30 mins ago





          1




          1





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

          – marmot
          20 mins ago





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

          – marmot
          20 mins ago




          1




          1





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

          – JouleV
          15 mins ago





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

          – JouleV
          15 mins ago

















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