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How to draw a waving flag in TikZ
The 2019 Stack Overflow Developer Survey Results Are InTikZ 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
10
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
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
Advanced waving flag (3)
(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
- The ratio length/width is still correct.
- 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
tikz-pgf
asked Apr 6 at 3:29
JouleVJouleV
12k22662
add a comment |
10
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
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
Advanced waving flag (3)
(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
- The ratio length/width is still correct.
- 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
tikz-pgf
asked Apr 6 at 3:29
JouleVJouleV
12k22662
add a comment |
10
10
10
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
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
Advanced waving flag (3)
(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
- The ratio length/width is still correct.
- 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
tikz-pgf
asked Apr 6 at 3:29
JouleVJouleV
12k22662
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
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
Advanced waving flag (3)
(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
- The ratio length/width is still correct.
- 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
tikz-pgf
tikz-pgf
asked Apr 6 at 3:29
JouleVJouleV
12k22662
asked Apr 6 at 3:29
JouleVJouleV
12k22662
edited Apr 6 at 4:53
JouleV
asked Apr 6 at 3:29
JouleVJouleV
12k22662
asked Apr 6 at 3:29
JouleVJouleV
12k22662
asked Apr 6 at 3:29
JouleVJouleV
12k22662
12k22662
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
16
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
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
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
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
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
answered Apr 6 at 3:45
marmotmarmot
116k5149280
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
Apr 6 at 3:57
1
@JouleV It does work if you settransform shape nonlinear=true.
– marmot
Apr 6 at 5:02
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
Apr 6 at 5:07
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
Apr 6 at 5:14
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
Apr 6 at 5:45
|
show 8 more comments
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16
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
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
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
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
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
answered Apr 6 at 3:45
marmotmarmot
116k5149280
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
Apr 6 at 3:57
1
@JouleV It does work if you settransform shape nonlinear=true.
– marmot
Apr 6 at 5:02
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
Apr 6 at 5:07
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
Apr 6 at 5:14
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
Apr 6 at 5:45
|
show 8 more comments
16
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
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
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
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
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
answered Apr 6 at 3:45
marmotmarmot
116k5149280
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
Apr 6 at 3:57
1
@JouleV It does work if you settransform shape nonlinear=true.
– marmot
Apr 6 at 5:02
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
Apr 6 at 5:07
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
Apr 6 at 5:14
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
Apr 6 at 5:45
|
show 8 more comments
16
16
16
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
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
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
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
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
answered Apr 6 at 3:45
marmotmarmot
116k5149280
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
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
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
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
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
answered Apr 6 at 3:45
marmotmarmot
116k5149280
edited Apr 6 at 5:44
answered Apr 6 at 3:45
marmotmarmot
116k5149280
answered Apr 6 at 3:45
marmotmarmot
116k5149280
answered Apr 6 at 3:45
marmotmarmot
116k5149280
116k5149280
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
Apr 6 at 3:57
1
@JouleV It does work if you settransform shape nonlinear=true.
– marmot
Apr 6 at 5:02
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
Apr 6 at 5:07
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
Apr 6 at 5:14
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
Apr 6 at 5:45
|
show 8 more comments
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
Apr 6 at 3:57
1
@JouleV It does work if you settransform shape nonlinear=true.
– marmot
Apr 6 at 5:02
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
Apr 6 at 5:07
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
Apr 6 at 5:14
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
Apr 6 at 5:45
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
Apr 6 at 3:57
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
Apr 6 at 3:57
1
1
@JouleV It does work if you set
transform shape nonlinear=true.– marmot
Apr 6 at 5:02
@JouleV It does work if you set
transform shape nonlinear=true.– marmot
Apr 6 at 5:02
1
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
Apr 6 at 5:07
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
Apr 6 at 5:07
1
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
Apr 6 at 5:14
@BlackMild I quickly added something, surely it can be improved.
– marmot
Apr 6 at 5:14
1
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
Apr 6 at 5:45
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
Apr 6 at 5:45
|
show 8 more comments
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