How to draw a waving flag in TikZ
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}
usepackage{xcolor}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
begin{tikzpicture}
fill[gerbla] (0,2) rectangle (5,3);
fill[gerred] (0,1) rectangle (5,2);
fill[geryel] (0,0) rectangle (5,1);
end{tikzpicture}
end{document}
Waving flag (2) (the ratio may not be true)
documentclass[tikz]{standalone}
usepackage{xcolor}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
begin{tikzpicture}
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;
end{tikzpicture}
end{document}
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}
usetikzlibrary{shapes}
usepackage{xcolor}
begin{document}
begin{tikzpicture}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.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)}) {};
}
}
end{tikzpicture}
end{document}
tikz-pgf
add a comment |
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}
usepackage{xcolor}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
begin{tikzpicture}
fill[gerbla] (0,2) rectangle (5,3);
fill[gerred] (0,1) rectangle (5,2);
fill[geryel] (0,0) rectangle (5,1);
end{tikzpicture}
end{document}
Waving flag (2) (the ratio may not be true)
documentclass[tikz]{standalone}
usepackage{xcolor}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
begin{tikzpicture}
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;
end{tikzpicture}
end{document}
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}
usetikzlibrary{shapes}
usepackage{xcolor}
begin{document}
begin{tikzpicture}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.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)}) {};
}
}
end{tikzpicture}
end{document}
tikz-pgf
add a comment |
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}
usepackage{xcolor}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
begin{tikzpicture}
fill[gerbla] (0,2) rectangle (5,3);
fill[gerred] (0,1) rectangle (5,2);
fill[geryel] (0,0) rectangle (5,1);
end{tikzpicture}
end{document}
Waving flag (2) (the ratio may not be true)
documentclass[tikz]{standalone}
usepackage{xcolor}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
begin{tikzpicture}
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;
end{tikzpicture}
end{document}
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}
usetikzlibrary{shapes}
usepackage{xcolor}
begin{document}
begin{tikzpicture}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.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)}) {};
}
}
end{tikzpicture}
end{document}
tikz-pgf
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}
usepackage{xcolor}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
begin{tikzpicture}
fill[gerbla] (0,2) rectangle (5,3);
fill[gerred] (0,1) rectangle (5,2);
fill[geryel] (0,0) rectangle (5,1);
end{tikzpicture}
end{document}
Waving flag (2) (the ratio may not be true)
documentclass[tikz]{standalone}
usepackage{xcolor}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
begin{tikzpicture}
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;
end{tikzpicture}
end{document}
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}
usetikzlibrary{shapes}
usepackage{xcolor}
begin{document}
begin{tikzpicture}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.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)}) {};
}
}
end{tikzpicture}
end{document}
tikz-pgf
tikz-pgf
edited 2 days ago
JouleV
asked Apr 6 at 3:29
JouleVJouleV
11.7k22561
11.7k22561
add a comment |
add a comment |
1 Answer
1
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oldest
votes
You can use nonlinear transformations to achieve this effect.
documentclass[tikz,border=3.14mm]{standalone}
usepgfmodule{nonlineartransformations}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{GermanFlag}{%
fill[gerbla] (0,2) rectangle (4,3);
fill[gerred] (0,1) rectangle (4,2);
fill[geryel] (0,0) rectangle (4,1);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=1]
begin{scope}[local bounding box=linear]
GermanFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
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}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[local bounding box=linear]
USFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=2.5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
And here is something for Black Mild.
documentclass[tikz,border=3.14mm]{standalone}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
tikzdeclarecoordinatesystem{flag}{% https://tex.stackexchange.com/a/434247/121799
tikz@scan@one@pointrelax(#1)
flagtransformation
}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
foreach X in {0,5,...,95}
{begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[xshift=X pt,
local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
end{tikzpicture}}
end{document}
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}
usepgfmodule{nonlineartransformations}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
definecolor{SkyBlue}{rgb}{0.00784314,0.32156864,0.61176473}
definecolor{FireRed}{rgb}{0.86274511,0.11764706,0.20784314}
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);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=0.15]
begin{scope}[local bounding box=linear]
IcelandFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=35cm,local bounding box=nonlinear]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
In order to draw a 3d flag, you may use tikz-3dplot
.
With shade
you can get something like this.
documentclass[tikz]{standalone}
usepackage{tikz-3dplot}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
tdplotsetmaincoords{70}{20}
begin{tikzpicture}[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);}
end{tikzpicture}
end{document}
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
2 days ago
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
2 days ago
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
2 days ago
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
2 days ago
|
show 8 more comments
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You can use nonlinear transformations to achieve this effect.
documentclass[tikz,border=3.14mm]{standalone}
usepgfmodule{nonlineartransformations}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{GermanFlag}{%
fill[gerbla] (0,2) rectangle (4,3);
fill[gerred] (0,1) rectangle (4,2);
fill[geryel] (0,0) rectangle (4,1);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=1]
begin{scope}[local bounding box=linear]
GermanFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
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}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[local bounding box=linear]
USFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=2.5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
And here is something for Black Mild.
documentclass[tikz,border=3.14mm]{standalone}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
tikzdeclarecoordinatesystem{flag}{% https://tex.stackexchange.com/a/434247/121799
tikz@scan@one@pointrelax(#1)
flagtransformation
}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
foreach X in {0,5,...,95}
{begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[xshift=X pt,
local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
end{tikzpicture}}
end{document}
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}
usepgfmodule{nonlineartransformations}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
definecolor{SkyBlue}{rgb}{0.00784314,0.32156864,0.61176473}
definecolor{FireRed}{rgb}{0.86274511,0.11764706,0.20784314}
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);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=0.15]
begin{scope}[local bounding box=linear]
IcelandFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=35cm,local bounding box=nonlinear]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
In order to draw a 3d flag, you may use tikz-3dplot
.
With shade
you can get something like this.
documentclass[tikz]{standalone}
usepackage{tikz-3dplot}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
tdplotsetmaincoords{70}{20}
begin{tikzpicture}[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);}
end{tikzpicture}
end{document}
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
2 days ago
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
2 days ago
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
2 days ago
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
2 days ago
|
show 8 more comments
You can use nonlinear transformations to achieve this effect.
documentclass[tikz,border=3.14mm]{standalone}
usepgfmodule{nonlineartransformations}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{GermanFlag}{%
fill[gerbla] (0,2) rectangle (4,3);
fill[gerred] (0,1) rectangle (4,2);
fill[geryel] (0,0) rectangle (4,1);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=1]
begin{scope}[local bounding box=linear]
GermanFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
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}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[local bounding box=linear]
USFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=2.5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
And here is something for Black Mild.
documentclass[tikz,border=3.14mm]{standalone}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
tikzdeclarecoordinatesystem{flag}{% https://tex.stackexchange.com/a/434247/121799
tikz@scan@one@pointrelax(#1)
flagtransformation
}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
foreach X in {0,5,...,95}
{begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[xshift=X pt,
local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
end{tikzpicture}}
end{document}
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}
usepgfmodule{nonlineartransformations}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
definecolor{SkyBlue}{rgb}{0.00784314,0.32156864,0.61176473}
definecolor{FireRed}{rgb}{0.86274511,0.11764706,0.20784314}
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);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=0.15]
begin{scope}[local bounding box=linear]
IcelandFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=35cm,local bounding box=nonlinear]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
In order to draw a 3d flag, you may use tikz-3dplot
.
With shade
you can get something like this.
documentclass[tikz]{standalone}
usepackage{tikz-3dplot}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
tdplotsetmaincoords{70}{20}
begin{tikzpicture}[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);}
end{tikzpicture}
end{document}
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
2 days ago
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
2 days ago
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
2 days ago
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
2 days ago
|
show 8 more comments
You can use nonlinear transformations to achieve this effect.
documentclass[tikz,border=3.14mm]{standalone}
usepgfmodule{nonlineartransformations}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{GermanFlag}{%
fill[gerbla] (0,2) rectangle (4,3);
fill[gerred] (0,1) rectangle (4,2);
fill[geryel] (0,0) rectangle (4,1);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=1]
begin{scope}[local bounding box=linear]
GermanFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
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}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[local bounding box=linear]
USFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=2.5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
And here is something for Black Mild.
documentclass[tikz,border=3.14mm]{standalone}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
tikzdeclarecoordinatesystem{flag}{% https://tex.stackexchange.com/a/434247/121799
tikz@scan@one@pointrelax(#1)
flagtransformation
}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
foreach X in {0,5,...,95}
{begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[xshift=X pt,
local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
end{tikzpicture}}
end{document}
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}
usepgfmodule{nonlineartransformations}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
definecolor{SkyBlue}{rgb}{0.00784314,0.32156864,0.61176473}
definecolor{FireRed}{rgb}{0.86274511,0.11764706,0.20784314}
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);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=0.15]
begin{scope}[local bounding box=linear]
IcelandFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=35cm,local bounding box=nonlinear]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
In order to draw a 3d flag, you may use tikz-3dplot
.
With shade
you can get something like this.
documentclass[tikz]{standalone}
usepackage{tikz-3dplot}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
tdplotsetmaincoords{70}{20}
begin{tikzpicture}[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);}
end{tikzpicture}
end{document}
You can use nonlinear transformations to achieve this effect.
documentclass[tikz,border=3.14mm]{standalone}
usepgfmodule{nonlineartransformations}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{GermanFlag}{%
fill[gerbla] (0,2) rectangle (4,3);
fill[gerred] (0,1) rectangle (4,2);
fill[geryel] (0,0) rectangle (4,1);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=1]
begin{scope}[local bounding box=linear]
GermanFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
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}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[local bounding box=linear]
USFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=2.5cm,local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
And here is something for Black Mild.
documentclass[tikz,border=3.14mm]{standalone}
usetikzlibrary{shapes}
usepgfmodule{nonlineartransformations}
definecolor{usblue}{rgb}{.234,.233,.430}
definecolor{usared}{rgb}{.698,.132,.203}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
tikzdeclarecoordinatesystem{flag}{% https://tex.stackexchange.com/a/434247/121799
tikz@scan@one@pointrelax(#1)
flagtransformation
}
makeatother
newcommand{USFlag}{%
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)}) {};
}
}}
begin{document}
foreach X in {0,5,...,95}
{begin{tikzpicture}[font=sffamily,scale=2,transform shape]
begin{scope}[xshift=X pt,
local bounding box=nonlinear,transform shape
nonlinear=true]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
end{tikzpicture}}
end{document}
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}
usepgfmodule{nonlineartransformations}
makeatletter
defflagtransformation{%
pgf@xa=pgf@x%
pgf@ya=pgf@y%
%typeout{oldspace x=pgf@xaspace old space y=pgf@ya}%
pgfmathsetmacro{myy}{pgf@ya+7*sin(pgf@xa*3.6)-0.1*pgf@xa}%
%typeout{atspace x=thepgf@xa:space newspace y=myy}%
pgf@y=myy pt}
makeatother
definecolor{SkyBlue}{rgb}{0.00784314,0.32156864,0.61176473}
definecolor{FireRed}{rgb}{0.86274511,0.11764706,0.20784314}
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);}
begin{document}
begin{tikzpicture}[font=sffamily,scale=0.15]
begin{scope}[local bounding box=linear]
IcelandFlag
end{scope}
node[anchor=south] (lin) at (linear.north){linear};
begin{scope}[xshift=35cm,local bounding box=nonlinear]
pgftransformnonlinear{flagtransformation}
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);
end{scope}
node[anchor=south] at (lin.south-|nonlinear.north){nonlinear};
end{tikzpicture}
end{document}
In order to draw a 3d flag, you may use tikz-3dplot
.
With shade
you can get something like this.
documentclass[tikz]{standalone}
usepackage{tikz-3dplot}
definecolor{gerbla}{RGB}{0,0,0}
definecolor{gerred}{RGB}{255,0,0}
definecolor{geryel}{RGB}{255,204,0}
begin{document}
tdplotsetmaincoords{70}{20}
begin{tikzpicture}[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);}
end{tikzpicture}
end{document}
edited 2 days ago
answered Apr 6 at 3:45
marmotmarmot
116k5147277
116k5147277
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
2 days ago
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
2 days ago
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
2 days ago
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
2 days ago
|
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
2 days ago
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
2 days ago
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
2 days ago
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
2 days 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
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
2 days ago
@JouleV It does work if you set
transform shape nonlinear=true
.– marmot
2 days ago
1
1
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
2 days ago
@marmot One word: perfect! Thanks you very much!!!!!
– JouleV
2 days ago
1
1
@BlackMild I quickly added something, surely it can be improved.
– marmot
2 days ago
@BlackMild I quickly added something, surely it can be improved.
– marmot
2 days ago
1
1
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
2 days ago
@JouleV OK OK, I give in. Now it is attached to some post. ;-)
– marmot
2 days ago
|
show 8 more comments
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