Coloring areas with TikZ










5














Consider the following MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
foreach x in 1,1.2,...,3

pgfmathsetmacroa10*x
fill[blue!a,shift=(-1,-2)] (x,-.3) rectangle (x+1,2.3);

fill[white] (0,0) .. controls (1,1) and (1.5,-1) .. (3,0) -- (3,.4) -- (0,.4) -- cycle;
fill[white] (0,-2) .. controls (1,-1) and (1.5,-3) .. (3,-2) -- (3,-2.3) -- (0,-2.3) -- cycle;
draw (0,0) .. controls (1,1) and (1.5,-1) .. (3,0);
draw (0,-2) .. controls (1,-1) and (1.5,-3) .. (3,-2);
beginscope[yshift=4cm]
foreach x in 0,.1,...,.8

pgfmathsetmacroax*40
fill[blue!a] ($(0,0)!x!(2,.5)$) -- ([yshift=-1cm]$(0,0)!x!(2,.5)$) -- ([yshift=-1cm,xshift=.5cm]$(0,0)!x!(2,.5)$) -- ([yshift=.11cm,xshift=.5cm]$(0,0)!x!(2,.5)$);

draw[shorten >=.1cm,thick] (0,0) -- (2,.5);
beginscope[shift=(0,-2)]
foreach x in 0,.1,...,.9

pgfmathsetmacroax*40
pgfmathsetmacrobx+.1
fill[blue!a] ($(0,0)!x!(2,.5)$) -- ([yshift=-1cm]$(0,0)!x!(2,.5)$) -- ($(0,-1)!x!(2,-.5)$) -- ($(0,-1)!b!(2,-.5)$) -- ($(0,0)!b!(2,.5)$) -- cycle;

draw[shorten >=.2cm,thick] (0,0) -- (2,.5);
endscope
endscope
endtikzpicture
enddocument


As you can see in the above part (see the first image) I can usetikzlibrarycalc to achieve a convient coloring of the areas. But in the above part (see second image) I had to manually overlay areas which may not get "painted". I tried here the calc library, too, but it calulates the points just as the are at a straight line, not as a curve with some band angle(s). My question is: How can I use the calc library to have a more ellegant code for the second part?



Screenshot




Screenshot










share|improve this question

















  • 1




    +1 but why could you not just clip against the bounding curves and fill just rectangles that are large enough?
    – marmot
    Aug 24 at 17:24











  • @marmot: I've got such a version, too, I just use the "rectangle option" because I want to do something with it and thanks! ;)
    – current_user
    Aug 24 at 17:26







  • 1




    In the lower part I would just do fill[blue!a] ($(0,0)!x!(2,.5)$) -- ++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;. I really think it is so much simpler with relative coordinates.
    – marmot
    Aug 24 at 17:50















5














Consider the following MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
foreach x in 1,1.2,...,3

pgfmathsetmacroa10*x
fill[blue!a,shift=(-1,-2)] (x,-.3) rectangle (x+1,2.3);

fill[white] (0,0) .. controls (1,1) and (1.5,-1) .. (3,0) -- (3,.4) -- (0,.4) -- cycle;
fill[white] (0,-2) .. controls (1,-1) and (1.5,-3) .. (3,-2) -- (3,-2.3) -- (0,-2.3) -- cycle;
draw (0,0) .. controls (1,1) and (1.5,-1) .. (3,0);
draw (0,-2) .. controls (1,-1) and (1.5,-3) .. (3,-2);
beginscope[yshift=4cm]
foreach x in 0,.1,...,.8

pgfmathsetmacroax*40
fill[blue!a] ($(0,0)!x!(2,.5)$) -- ([yshift=-1cm]$(0,0)!x!(2,.5)$) -- ([yshift=-1cm,xshift=.5cm]$(0,0)!x!(2,.5)$) -- ([yshift=.11cm,xshift=.5cm]$(0,0)!x!(2,.5)$);

draw[shorten >=.1cm,thick] (0,0) -- (2,.5);
beginscope[shift=(0,-2)]
foreach x in 0,.1,...,.9

pgfmathsetmacroax*40
pgfmathsetmacrobx+.1
fill[blue!a] ($(0,0)!x!(2,.5)$) -- ([yshift=-1cm]$(0,0)!x!(2,.5)$) -- ($(0,-1)!x!(2,-.5)$) -- ($(0,-1)!b!(2,-.5)$) -- ($(0,0)!b!(2,.5)$) -- cycle;

draw[shorten >=.2cm,thick] (0,0) -- (2,.5);
endscope
endscope
endtikzpicture
enddocument


As you can see in the above part (see the first image) I can usetikzlibrarycalc to achieve a convient coloring of the areas. But in the above part (see second image) I had to manually overlay areas which may not get "painted". I tried here the calc library, too, but it calulates the points just as the are at a straight line, not as a curve with some band angle(s). My question is: How can I use the calc library to have a more ellegant code for the second part?



Screenshot




Screenshot










share|improve this question

















  • 1




    +1 but why could you not just clip against the bounding curves and fill just rectangles that are large enough?
    – marmot
    Aug 24 at 17:24











  • @marmot: I've got such a version, too, I just use the "rectangle option" because I want to do something with it and thanks! ;)
    – current_user
    Aug 24 at 17:26







  • 1




    In the lower part I would just do fill[blue!a] ($(0,0)!x!(2,.5)$) -- ++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;. I really think it is so much simpler with relative coordinates.
    – marmot
    Aug 24 at 17:50













5












5








5







Consider the following MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
foreach x in 1,1.2,...,3

pgfmathsetmacroa10*x
fill[blue!a,shift=(-1,-2)] (x,-.3) rectangle (x+1,2.3);

fill[white] (0,0) .. controls (1,1) and (1.5,-1) .. (3,0) -- (3,.4) -- (0,.4) -- cycle;
fill[white] (0,-2) .. controls (1,-1) and (1.5,-3) .. (3,-2) -- (3,-2.3) -- (0,-2.3) -- cycle;
draw (0,0) .. controls (1,1) and (1.5,-1) .. (3,0);
draw (0,-2) .. controls (1,-1) and (1.5,-3) .. (3,-2);
beginscope[yshift=4cm]
foreach x in 0,.1,...,.8

pgfmathsetmacroax*40
fill[blue!a] ($(0,0)!x!(2,.5)$) -- ([yshift=-1cm]$(0,0)!x!(2,.5)$) -- ([yshift=-1cm,xshift=.5cm]$(0,0)!x!(2,.5)$) -- ([yshift=.11cm,xshift=.5cm]$(0,0)!x!(2,.5)$);

draw[shorten >=.1cm,thick] (0,0) -- (2,.5);
beginscope[shift=(0,-2)]
foreach x in 0,.1,...,.9

pgfmathsetmacroax*40
pgfmathsetmacrobx+.1
fill[blue!a] ($(0,0)!x!(2,.5)$) -- ([yshift=-1cm]$(0,0)!x!(2,.5)$) -- ($(0,-1)!x!(2,-.5)$) -- ($(0,-1)!b!(2,-.5)$) -- ($(0,0)!b!(2,.5)$) -- cycle;

draw[shorten >=.2cm,thick] (0,0) -- (2,.5);
endscope
endscope
endtikzpicture
enddocument


As you can see in the above part (see the first image) I can usetikzlibrarycalc to achieve a convient coloring of the areas. But in the above part (see second image) I had to manually overlay areas which may not get "painted". I tried here the calc library, too, but it calulates the points just as the are at a straight line, not as a curve with some band angle(s). My question is: How can I use the calc library to have a more ellegant code for the second part?



Screenshot




Screenshot










share|improve this question













Consider the following MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
foreach x in 1,1.2,...,3

pgfmathsetmacroa10*x
fill[blue!a,shift=(-1,-2)] (x,-.3) rectangle (x+1,2.3);

fill[white] (0,0) .. controls (1,1) and (1.5,-1) .. (3,0) -- (3,.4) -- (0,.4) -- cycle;
fill[white] (0,-2) .. controls (1,-1) and (1.5,-3) .. (3,-2) -- (3,-2.3) -- (0,-2.3) -- cycle;
draw (0,0) .. controls (1,1) and (1.5,-1) .. (3,0);
draw (0,-2) .. controls (1,-1) and (1.5,-3) .. (3,-2);
beginscope[yshift=4cm]
foreach x in 0,.1,...,.8

pgfmathsetmacroax*40
fill[blue!a] ($(0,0)!x!(2,.5)$) -- ([yshift=-1cm]$(0,0)!x!(2,.5)$) -- ([yshift=-1cm,xshift=.5cm]$(0,0)!x!(2,.5)$) -- ([yshift=.11cm,xshift=.5cm]$(0,0)!x!(2,.5)$);

draw[shorten >=.1cm,thick] (0,0) -- (2,.5);
beginscope[shift=(0,-2)]
foreach x in 0,.1,...,.9

pgfmathsetmacroax*40
pgfmathsetmacrobx+.1
fill[blue!a] ($(0,0)!x!(2,.5)$) -- ([yshift=-1cm]$(0,0)!x!(2,.5)$) -- ($(0,-1)!x!(2,-.5)$) -- ($(0,-1)!b!(2,-.5)$) -- ($(0,0)!b!(2,.5)$) -- cycle;

draw[shorten >=.2cm,thick] (0,0) -- (2,.5);
endscope
endscope
endtikzpicture
enddocument


As you can see in the above part (see the first image) I can usetikzlibrarycalc to achieve a convient coloring of the areas. But in the above part (see second image) I had to manually overlay areas which may not get "painted". I tried here the calc library, too, but it calulates the points just as the are at a straight line, not as a curve with some band angle(s). My question is: How can I use the calc library to have a more ellegant code for the second part?



Screenshot




Screenshot







tikz-pgf color






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Aug 24 at 17:18









current_user

3,1451436




3,1451436







  • 1




    +1 but why could you not just clip against the bounding curves and fill just rectangles that are large enough?
    – marmot
    Aug 24 at 17:24











  • @marmot: I've got such a version, too, I just use the "rectangle option" because I want to do something with it and thanks! ;)
    – current_user
    Aug 24 at 17:26







  • 1




    In the lower part I would just do fill[blue!a] ($(0,0)!x!(2,.5)$) -- ++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;. I really think it is so much simpler with relative coordinates.
    – marmot
    Aug 24 at 17:50












  • 1




    +1 but why could you not just clip against the bounding curves and fill just rectangles that are large enough?
    – marmot
    Aug 24 at 17:24











  • @marmot: I've got such a version, too, I just use the "rectangle option" because I want to do something with it and thanks! ;)
    – current_user
    Aug 24 at 17:26







  • 1




    In the lower part I would just do fill[blue!a] ($(0,0)!x!(2,.5)$) -- ++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;. I really think it is so much simpler with relative coordinates.
    – marmot
    Aug 24 at 17:50







1




1




+1 but why could you not just clip against the bounding curves and fill just rectangles that are large enough?
– marmot
Aug 24 at 17:24





+1 but why could you not just clip against the bounding curves and fill just rectangles that are large enough?
– marmot
Aug 24 at 17:24













@marmot: I've got such a version, too, I just use the "rectangle option" because I want to do something with it and thanks! ;)
– current_user
Aug 24 at 17:26





@marmot: I've got such a version, too, I just use the "rectangle option" because I want to do something with it and thanks! ;)
– current_user
Aug 24 at 17:26





1




1




In the lower part I would just do fill[blue!a] ($(0,0)!x!(2,.5)$) -- ++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;. I really think it is so much simpler with relative coordinates.
– marmot
Aug 24 at 17:50




In the lower part I would just do fill[blue!a] ($(0,0)!x!(2,.5)$) -- ++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;. I really think it is so much simpler with relative coordinates.
– marmot
Aug 24 at 17:50










2 Answers
2






active

oldest

votes


















6














Here another option, using nodes in a path, defining certain points in a path and drawing a line from them that changes the color.



RESULT:



enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
%Iterative tricks
foreach x in 1,2,...,30
path
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0) node[pos=x/30](ax);
draw[line width = 4pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0)
(1,-2)
.. controls +(1,1) and +(-1,-1) .. ++(3,0);
%Another path
foreach x in 1,2,...,50
path
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

endtikzpicture
enddocument



UPDATE:



Added another line shifted in preactión modifier and shorten the lines terminations to hide the rectangles; but is not good solution if you work with some backgrounds; best option is to work with clip, with shades, or even rectangles.



RESULT:
enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc,patterns
begindocument
begintikzpicture[
ShiftLine/.style=
preaction=
transform canvas=
shift=(#1),
,
draw=white,
line width=3pt,


]
fill [blue!30](0.5,-8) rectangle (12.5,0.5);
pattern [pattern=checkerboard,pattern color=blue!10](0.5,-8) rectangle (12.5,0.5);
%Avoid use clip
foreach x in 1,2,...,49
path
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x,shorten <=-2pt, shorten >=-2pt] (ax.center) -- ++ (0,-2);

draw[line width = 1pt,ShiftLine=0,2pt,shorten <=2pt, shorten >=2pt]
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 1pt,ShiftLine=0,-2pt,shorten <=2pt, shorten >=2pt]
(1,-2)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

%using Clip and shades
beginscope
clip
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++ (0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
shade[right color=blue!50, left color=white]
(1,-3) rectangle ++ (4.5,-4);
draw[line width = 2pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 2pt]
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope

%Using Rectangles in a foreach shifting.
beginscope[shift=(4,2)]
clip
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++(0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
foreach k in 0,1,...,50
fill[blue!k]
(3+k*0.1,-3) rectangle ++(0.5,-4);

draw[line width=2pt]
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width=2pt]
(3,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope
%Some labels
draw[font=tiny,fill opacity=0.2,text opacity=1,align=center]
(3.5,-1.8) node[anchor=center,fill=yellow]verb+Shift preaction white line +\ verb+foreach lines from nodes in a path+
(3.5,-5.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+and shades+
(9.5,-3.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+rectangles in foreach shifting+;
endtikzpicture
enddocument





share|improve this answer






















  • +1 Nearly perfect! Just one little detail: Could you edit your answer, such that the rectangles are not visible outside the Bézier-curve (just clipping against it). Then you will geht the check-mark!
    – current_user
    Aug 24 at 20:04







  • 1




    wait a bit, I think I can add other tricks xD
    – J Leon V.
    Aug 24 at 20:08


















4














I don't know if that's what you're asking but one can simplify the shaded contours quite a bit by working with relative coordinates. No manual shift is needed then.



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
beginscope[shift=(0,-2)]
foreach x in 0,.1,...,.9

pgfmathsetmacroax*40
fill[blue!a] ($(0,0)!x!(2,.5)$) --
++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;

draw[shorten >=.2cm,thick] (0,0) -- (2,.5);
endscope
endtikzpicture
enddocument


enter image description here






share|improve this answer




















  • Nearly, but that is really interessting. Yes, I should use relative coordinates more often … +1
    – current_user
    Aug 24 at 20:05






  • 1




    @current_user I simply do not understand the question, I think... ;-)
    – marmot
    Aug 24 at 21:59










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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes









6














Here another option, using nodes in a path, defining certain points in a path and drawing a line from them that changes the color.



RESULT:



enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
%Iterative tricks
foreach x in 1,2,...,30
path
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0) node[pos=x/30](ax);
draw[line width = 4pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0)
(1,-2)
.. controls +(1,1) and +(-1,-1) .. ++(3,0);
%Another path
foreach x in 1,2,...,50
path
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

endtikzpicture
enddocument



UPDATE:



Added another line shifted in preactión modifier and shorten the lines terminations to hide the rectangles; but is not good solution if you work with some backgrounds; best option is to work with clip, with shades, or even rectangles.



RESULT:
enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc,patterns
begindocument
begintikzpicture[
ShiftLine/.style=
preaction=
transform canvas=
shift=(#1),
,
draw=white,
line width=3pt,


]
fill [blue!30](0.5,-8) rectangle (12.5,0.5);
pattern [pattern=checkerboard,pattern color=blue!10](0.5,-8) rectangle (12.5,0.5);
%Avoid use clip
foreach x in 1,2,...,49
path
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x,shorten <=-2pt, shorten >=-2pt] (ax.center) -- ++ (0,-2);

draw[line width = 1pt,ShiftLine=0,2pt,shorten <=2pt, shorten >=2pt]
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 1pt,ShiftLine=0,-2pt,shorten <=2pt, shorten >=2pt]
(1,-2)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

%using Clip and shades
beginscope
clip
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++ (0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
shade[right color=blue!50, left color=white]
(1,-3) rectangle ++ (4.5,-4);
draw[line width = 2pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 2pt]
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope

%Using Rectangles in a foreach shifting.
beginscope[shift=(4,2)]
clip
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++(0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
foreach k in 0,1,...,50
fill[blue!k]
(3+k*0.1,-3) rectangle ++(0.5,-4);

draw[line width=2pt]
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width=2pt]
(3,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope
%Some labels
draw[font=tiny,fill opacity=0.2,text opacity=1,align=center]
(3.5,-1.8) node[anchor=center,fill=yellow]verb+Shift preaction white line +\ verb+foreach lines from nodes in a path+
(3.5,-5.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+and shades+
(9.5,-3.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+rectangles in foreach shifting+;
endtikzpicture
enddocument





share|improve this answer






















  • +1 Nearly perfect! Just one little detail: Could you edit your answer, such that the rectangles are not visible outside the Bézier-curve (just clipping against it). Then you will geht the check-mark!
    – current_user
    Aug 24 at 20:04







  • 1




    wait a bit, I think I can add other tricks xD
    – J Leon V.
    Aug 24 at 20:08















6














Here another option, using nodes in a path, defining certain points in a path and drawing a line from them that changes the color.



RESULT:



enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
%Iterative tricks
foreach x in 1,2,...,30
path
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0) node[pos=x/30](ax);
draw[line width = 4pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0)
(1,-2)
.. controls +(1,1) and +(-1,-1) .. ++(3,0);
%Another path
foreach x in 1,2,...,50
path
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

endtikzpicture
enddocument



UPDATE:



Added another line shifted in preactión modifier and shorten the lines terminations to hide the rectangles; but is not good solution if you work with some backgrounds; best option is to work with clip, with shades, or even rectangles.



RESULT:
enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc,patterns
begindocument
begintikzpicture[
ShiftLine/.style=
preaction=
transform canvas=
shift=(#1),
,
draw=white,
line width=3pt,


]
fill [blue!30](0.5,-8) rectangle (12.5,0.5);
pattern [pattern=checkerboard,pattern color=blue!10](0.5,-8) rectangle (12.5,0.5);
%Avoid use clip
foreach x in 1,2,...,49
path
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x,shorten <=-2pt, shorten >=-2pt] (ax.center) -- ++ (0,-2);

draw[line width = 1pt,ShiftLine=0,2pt,shorten <=2pt, shorten >=2pt]
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 1pt,ShiftLine=0,-2pt,shorten <=2pt, shorten >=2pt]
(1,-2)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

%using Clip and shades
beginscope
clip
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++ (0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
shade[right color=blue!50, left color=white]
(1,-3) rectangle ++ (4.5,-4);
draw[line width = 2pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 2pt]
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope

%Using Rectangles in a foreach shifting.
beginscope[shift=(4,2)]
clip
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++(0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
foreach k in 0,1,...,50
fill[blue!k]
(3+k*0.1,-3) rectangle ++(0.5,-4);

draw[line width=2pt]
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width=2pt]
(3,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope
%Some labels
draw[font=tiny,fill opacity=0.2,text opacity=1,align=center]
(3.5,-1.8) node[anchor=center,fill=yellow]verb+Shift preaction white line +\ verb+foreach lines from nodes in a path+
(3.5,-5.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+and shades+
(9.5,-3.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+rectangles in foreach shifting+;
endtikzpicture
enddocument





share|improve this answer






















  • +1 Nearly perfect! Just one little detail: Could you edit your answer, such that the rectangles are not visible outside the Bézier-curve (just clipping against it). Then you will geht the check-mark!
    – current_user
    Aug 24 at 20:04







  • 1




    wait a bit, I think I can add other tricks xD
    – J Leon V.
    Aug 24 at 20:08













6












6








6






Here another option, using nodes in a path, defining certain points in a path and drawing a line from them that changes the color.



RESULT:



enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
%Iterative tricks
foreach x in 1,2,...,30
path
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0) node[pos=x/30](ax);
draw[line width = 4pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0)
(1,-2)
.. controls +(1,1) and +(-1,-1) .. ++(3,0);
%Another path
foreach x in 1,2,...,50
path
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

endtikzpicture
enddocument



UPDATE:



Added another line shifted in preactión modifier and shorten the lines terminations to hide the rectangles; but is not good solution if you work with some backgrounds; best option is to work with clip, with shades, or even rectangles.



RESULT:
enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc,patterns
begindocument
begintikzpicture[
ShiftLine/.style=
preaction=
transform canvas=
shift=(#1),
,
draw=white,
line width=3pt,


]
fill [blue!30](0.5,-8) rectangle (12.5,0.5);
pattern [pattern=checkerboard,pattern color=blue!10](0.5,-8) rectangle (12.5,0.5);
%Avoid use clip
foreach x in 1,2,...,49
path
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x,shorten <=-2pt, shorten >=-2pt] (ax.center) -- ++ (0,-2);

draw[line width = 1pt,ShiftLine=0,2pt,shorten <=2pt, shorten >=2pt]
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 1pt,ShiftLine=0,-2pt,shorten <=2pt, shorten >=2pt]
(1,-2)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

%using Clip and shades
beginscope
clip
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++ (0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
shade[right color=blue!50, left color=white]
(1,-3) rectangle ++ (4.5,-4);
draw[line width = 2pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 2pt]
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope

%Using Rectangles in a foreach shifting.
beginscope[shift=(4,2)]
clip
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++(0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
foreach k in 0,1,...,50
fill[blue!k]
(3+k*0.1,-3) rectangle ++(0.5,-4);

draw[line width=2pt]
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width=2pt]
(3,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope
%Some labels
draw[font=tiny,fill opacity=0.2,text opacity=1,align=center]
(3.5,-1.8) node[anchor=center,fill=yellow]verb+Shift preaction white line +\ verb+foreach lines from nodes in a path+
(3.5,-5.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+and shades+
(9.5,-3.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+rectangles in foreach shifting+;
endtikzpicture
enddocument





share|improve this answer














Here another option, using nodes in a path, defining certain points in a path and drawing a line from them that changes the color.



RESULT:



enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
%Iterative tricks
foreach x in 1,2,...,30
path
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0) node[pos=x/30](ax);
draw[line width = 4pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,0)
.. controls +(1,1) and +(-1,-1) .. ++(3,0)
(1,-2)
.. controls +(1,1) and +(-1,-1) .. ++(3,0);
%Another path
foreach x in 1,2,...,50
path
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x] (ax.center) -- ++ (0,-2);

draw[line width = 1pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

endtikzpicture
enddocument



UPDATE:



Added another line shifted in preactión modifier and shorten the lines terminations to hide the rectangles; but is not good solution if you work with some backgrounds; best option is to work with clip, with shades, or even rectangles.



RESULT:
enter image description here



MWE:



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc,patterns
begindocument
begintikzpicture[
ShiftLine/.style=
preaction=
transform canvas=
shift=(#1),
,
draw=white,
line width=3pt,


]
fill [blue!30](0.5,-8) rectangle (12.5,0.5);
pattern [pattern=checkerboard,pattern color=blue!10](0.5,-8) rectangle (12.5,0.5);
%Avoid use clip
foreach x in 1,2,...,49
path
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0) node[pos=x/50](ax);
draw[line width = 3pt,blue!x,shorten <=-2pt, shorten >=-2pt] (ax.center) -- ++ (0,-2);

draw[line width = 1pt,ShiftLine=0,2pt,shorten <=2pt, shorten >=2pt]
(1,0)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 1pt,ShiftLine=0,-2pt,shorten <=2pt, shorten >=2pt]
(1,-2)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);

%using Clip and shades
beginscope
clip
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++ (0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
shade[right color=blue!50, left color=white]
(1,-3) rectangle ++ (4.5,-4);
draw[line width = 2pt]
(1,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width = 2pt]
(1,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope

%Using Rectangles in a foreach shifting.
beginscope[shift=(4,2)]
clip
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0)
-- ++(0,-2)
.. controls +(-1.5,-3) and +(1,0.5) .. ++(-4.5,0)
-- cycle;
foreach k in 0,1,...,50
fill[blue!k]
(3+k*0.1,-3) rectangle ++(0.5,-4);

draw[line width=2pt]
(3,-3.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
draw[line width=2pt]
(3,-5.5)
.. controls +(1,0.5) and +(-1.5,-3) .. ++(4.5,0);
endscope
%Some labels
draw[font=tiny,fill opacity=0.2,text opacity=1,align=center]
(3.5,-1.8) node[anchor=center,fill=yellow]verb+Shift preaction white line +\ verb+foreach lines from nodes in a path+
(3.5,-5.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+and shades+
(9.5,-3.3) node[anchor=center,fill=yellow]verb+clip shape +\ verb+rectangles in foreach shifting+;
endtikzpicture
enddocument






share|improve this answer














share|improve this answer



share|improve this answer








edited Aug 24 at 21:30

























answered Aug 24 at 18:52









J Leon V.

7,824530




7,824530











  • +1 Nearly perfect! Just one little detail: Could you edit your answer, such that the rectangles are not visible outside the Bézier-curve (just clipping against it). Then you will geht the check-mark!
    – current_user
    Aug 24 at 20:04







  • 1




    wait a bit, I think I can add other tricks xD
    – J Leon V.
    Aug 24 at 20:08
















  • +1 Nearly perfect! Just one little detail: Could you edit your answer, such that the rectangles are not visible outside the Bézier-curve (just clipping against it). Then you will geht the check-mark!
    – current_user
    Aug 24 at 20:04







  • 1




    wait a bit, I think I can add other tricks xD
    – J Leon V.
    Aug 24 at 20:08















+1 Nearly perfect! Just one little detail: Could you edit your answer, such that the rectangles are not visible outside the Bézier-curve (just clipping against it). Then you will geht the check-mark!
– current_user
Aug 24 at 20:04





+1 Nearly perfect! Just one little detail: Could you edit your answer, such that the rectangles are not visible outside the Bézier-curve (just clipping against it). Then you will geht the check-mark!
– current_user
Aug 24 at 20:04





1




1




wait a bit, I think I can add other tricks xD
– J Leon V.
Aug 24 at 20:08




wait a bit, I think I can add other tricks xD
– J Leon V.
Aug 24 at 20:08











4














I don't know if that's what you're asking but one can simplify the shaded contours quite a bit by working with relative coordinates. No manual shift is needed then.



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
beginscope[shift=(0,-2)]
foreach x in 0,.1,...,.9

pgfmathsetmacroax*40
fill[blue!a] ($(0,0)!x!(2,.5)$) --
++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;

draw[shorten >=.2cm,thick] (0,0) -- (2,.5);
endscope
endtikzpicture
enddocument


enter image description here






share|improve this answer




















  • Nearly, but that is really interessting. Yes, I should use relative coordinates more often … +1
    – current_user
    Aug 24 at 20:05






  • 1




    @current_user I simply do not understand the question, I think... ;-)
    – marmot
    Aug 24 at 21:59















4














I don't know if that's what you're asking but one can simplify the shaded contours quite a bit by working with relative coordinates. No manual shift is needed then.



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
beginscope[shift=(0,-2)]
foreach x in 0,.1,...,.9

pgfmathsetmacroax*40
fill[blue!a] ($(0,0)!x!(2,.5)$) --
++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;

draw[shorten >=.2cm,thick] (0,0) -- (2,.5);
endscope
endtikzpicture
enddocument


enter image description here






share|improve this answer




















  • Nearly, but that is really interessting. Yes, I should use relative coordinates more often … +1
    – current_user
    Aug 24 at 20:05






  • 1




    @current_user I simply do not understand the question, I think... ;-)
    – marmot
    Aug 24 at 21:59













4












4








4






I don't know if that's what you're asking but one can simplify the shaded contours quite a bit by working with relative coordinates. No manual shift is needed then.



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
beginscope[shift=(0,-2)]
foreach x in 0,.1,...,.9

pgfmathsetmacroax*40
fill[blue!a] ($(0,0)!x!(2,.5)$) --
++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;

draw[shorten >=.2cm,thick] (0,0) -- (2,.5);
endscope
endtikzpicture
enddocument


enter image description here






share|improve this answer












I don't know if that's what you're asking but one can simplify the shaded contours quite a bit by working with relative coordinates. No manual shift is needed then.



documentclass[border=5pt,tikz]standalone
usetikzlibrarycalc
begindocument
begintikzpicture
beginscope[shift=(0,-2)]
foreach x in 0,.1,...,.9

pgfmathsetmacroax*40
fill[blue!a] ($(0,0)!x!(2,.5)$) --
++ (0,-1) -- ++ ($(0,0)!0.1!(2,.5)$) -- ++(0,1) -- cycle;

draw[shorten >=.2cm,thick] (0,0) -- (2,.5);
endscope
endtikzpicture
enddocument


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered Aug 24 at 17:54









marmot

86.4k499184




86.4k499184











  • Nearly, but that is really interessting. Yes, I should use relative coordinates more often … +1
    – current_user
    Aug 24 at 20:05






  • 1




    @current_user I simply do not understand the question, I think... ;-)
    – marmot
    Aug 24 at 21:59
















  • Nearly, but that is really interessting. Yes, I should use relative coordinates more often … +1
    – current_user
    Aug 24 at 20:05






  • 1




    @current_user I simply do not understand the question, I think... ;-)
    – marmot
    Aug 24 at 21:59















Nearly, but that is really interessting. Yes, I should use relative coordinates more often … +1
– current_user
Aug 24 at 20:05




Nearly, but that is really interessting. Yes, I should use relative coordinates more often … +1
– current_user
Aug 24 at 20:05




1




1




@current_user I simply do not understand the question, I think... ;-)
– marmot
Aug 24 at 21:59




@current_user I simply do not understand the question, I think... ;-)
– marmot
Aug 24 at 21:59

















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