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Filling an area between two curves
How to draw a decorated rectangle with rounded corners?TikZ: Cropping the Bounding BoxRotate a node but not its content: the case of the ellipse decorationHow to define the default vertical distance between nodes?Area between curves tikzGraphics: Area between curvesFilling an area between curvesFill area between two curvesFilling the area between two circlesFilling Area between two Bezier Curves with tikzFill the area between two curves
I would like to draw the following figure:
To do this I have used the following codes :
documentclass[10pt]article
usepackagepgf,tikz
usetikzlibraryarrows
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
draw [rotate around=15.05:(6.07,0.75)] (6.07,0.75) ellipse (1.11cm and 0.56cm);
draw [rotate around=-13.74:(8.9,0.78)] (8.9,0.78) ellipse (1.07cm and 0.53cm);
draw (4.58,2.02)-- (11,2);
draw (11,2)-- (10.48,-1);
draw (10.48,-1)-- (4,-1);
draw (4,-1)-- (4.58,2.02);
draw [shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r));
draw [shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r));
draw [rotate around=-3.74:(8.09,7.47)] (8.09,7.47) ellipse (3.48cm and 1.89cm);
draw [rotate around=13.37:(7.03,7.4)] (7.03,7.4) ellipse (1.2cm and 0.59cm);
draw [rotate around=-18.43:(8.48,7.38)] (8.48,7.38) ellipse (1.23cm and 0.59cm);
draw [->] (8.96,6.46) -- (8.8,1.62);
draw [->] (6.7,6.38) -- (6.46,1.62);
draw [->] (7.3,0.98) -- (7.76,0.98);
draw (9.54,9.82) node $M$;
draw (6.8,7.3) node $U_i$;
draw (8.8,7.3) node $U_j$;
draw (6.24,4.34) node $psi_i$;
draw (9.52,4.2) node $psi_j$;
draw (8.94,-1.3) node $mathbfR^n$;
draw (7.6,0) node $psi_jcirc psi_i^-1$;
endtikzpicture
enddocument
It produces:
How can I shade this figure?
tikz-pgf tikz-3dplot
add a comment |
I would like to draw the following figure:
To do this I have used the following codes :
documentclass[10pt]article
usepackagepgf,tikz
usetikzlibraryarrows
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
draw [rotate around=15.05:(6.07,0.75)] (6.07,0.75) ellipse (1.11cm and 0.56cm);
draw [rotate around=-13.74:(8.9,0.78)] (8.9,0.78) ellipse (1.07cm and 0.53cm);
draw (4.58,2.02)-- (11,2);
draw (11,2)-- (10.48,-1);
draw (10.48,-1)-- (4,-1);
draw (4,-1)-- (4.58,2.02);
draw [shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r));
draw [shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r));
draw [rotate around=-3.74:(8.09,7.47)] (8.09,7.47) ellipse (3.48cm and 1.89cm);
draw [rotate around=13.37:(7.03,7.4)] (7.03,7.4) ellipse (1.2cm and 0.59cm);
draw [rotate around=-18.43:(8.48,7.38)] (8.48,7.38) ellipse (1.23cm and 0.59cm);
draw [->] (8.96,6.46) -- (8.8,1.62);
draw [->] (6.7,6.38) -- (6.46,1.62);
draw [->] (7.3,0.98) -- (7.76,0.98);
draw (9.54,9.82) node $M$;
draw (6.8,7.3) node $U_i$;
draw (8.8,7.3) node $U_j$;
draw (6.24,4.34) node $psi_i$;
draw (9.52,4.2) node $psi_j$;
draw (8.94,-1.3) node $mathbfR^n$;
draw (7.6,0) node $psi_jcirc psi_i^-1$;
endtikzpicture
enddocument
It produces:
How can I shade this figure?
tikz-pgf tikz-3dplot
add a comment |
I would like to draw the following figure:
To do this I have used the following codes :
documentclass[10pt]article
usepackagepgf,tikz
usetikzlibraryarrows
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
draw [rotate around=15.05:(6.07,0.75)] (6.07,0.75) ellipse (1.11cm and 0.56cm);
draw [rotate around=-13.74:(8.9,0.78)] (8.9,0.78) ellipse (1.07cm and 0.53cm);
draw (4.58,2.02)-- (11,2);
draw (11,2)-- (10.48,-1);
draw (10.48,-1)-- (4,-1);
draw (4,-1)-- (4.58,2.02);
draw [shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r));
draw [shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r));
draw [rotate around=-3.74:(8.09,7.47)] (8.09,7.47) ellipse (3.48cm and 1.89cm);
draw [rotate around=13.37:(7.03,7.4)] (7.03,7.4) ellipse (1.2cm and 0.59cm);
draw [rotate around=-18.43:(8.48,7.38)] (8.48,7.38) ellipse (1.23cm and 0.59cm);
draw [->] (8.96,6.46) -- (8.8,1.62);
draw [->] (6.7,6.38) -- (6.46,1.62);
draw [->] (7.3,0.98) -- (7.76,0.98);
draw (9.54,9.82) node $M$;
draw (6.8,7.3) node $U_i$;
draw (8.8,7.3) node $U_j$;
draw (6.24,4.34) node $psi_i$;
draw (9.52,4.2) node $psi_j$;
draw (8.94,-1.3) node $mathbfR^n$;
draw (7.6,0) node $psi_jcirc psi_i^-1$;
endtikzpicture
enddocument
It produces:
How can I shade this figure?
tikz-pgf tikz-3dplot
I would like to draw the following figure:
To do this I have used the following codes :
documentclass[10pt]article
usepackagepgf,tikz
usetikzlibraryarrows
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
draw [rotate around=15.05:(6.07,0.75)] (6.07,0.75) ellipse (1.11cm and 0.56cm);
draw [rotate around=-13.74:(8.9,0.78)] (8.9,0.78) ellipse (1.07cm and 0.53cm);
draw (4.58,2.02)-- (11,2);
draw (11,2)-- (10.48,-1);
draw (10.48,-1)-- (4,-1);
draw (4,-1)-- (4.58,2.02);
draw [shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r));
draw [shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r));
draw [rotate around=-3.74:(8.09,7.47)] (8.09,7.47) ellipse (3.48cm and 1.89cm);
draw [rotate around=13.37:(7.03,7.4)] (7.03,7.4) ellipse (1.2cm and 0.59cm);
draw [rotate around=-18.43:(8.48,7.38)] (8.48,7.38) ellipse (1.23cm and 0.59cm);
draw [->] (8.96,6.46) -- (8.8,1.62);
draw [->] (6.7,6.38) -- (6.46,1.62);
draw [->] (7.3,0.98) -- (7.76,0.98);
draw (9.54,9.82) node $M$;
draw (6.8,7.3) node $U_i$;
draw (8.8,7.3) node $U_j$;
draw (6.24,4.34) node $psi_i$;
draw (9.52,4.2) node $psi_j$;
draw (8.94,-1.3) node $mathbfR^n$;
draw (7.6,0) node $psi_jcirc psi_i^-1$;
endtikzpicture
enddocument
It produces:
How can I shade this figure?
tikz-pgf tikz-3dplot
tikz-pgf tikz-3dplot
edited 2 hours ago
MKS
asked 3 hours ago
MKSMKS
834
834
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
There are two basic tricks that allow you to fill the area bounded by two different curves/contours:
- clip against one curve and fill the other;
- use
even odd rule
.
And there are combinations of the two and other possibilities. This answer focuses on possibility 1. Then there is the question how on could recycle curves for the fill. Out of several possibilities, this answer will utilize the use path
trick in the first part and insert path
in the second path.
The first path modifies your code such as to shade the correct (?) areas.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows
makeatletter % https://tex.stackexchange.com/a/38995/121799
tikzset
use path/.code=pgfsyssoftpath@setcurrentpath#1
makeatother
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
draw [rotate around=15.05:(6.07,0.75),save path=pathA] (6.07,0.75) ellipse (1.11cm and 0.56cm);
draw [rotate around=-13.74:(8.9,0.78),save path=pathB] (8.9,0.78) ellipse (1.07cm and 0.53cm);
draw (4.58,2.02)-- (11,2);
draw (11,2)-- (10.48,-1);
draw (10.48,-1)-- (4,-1);
draw (4,-1)-- (4.58,2.02);
draw [shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r));
draw [shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r));
draw [rotate around=-3.74:(8.09,7.47)] (8.09,7.47) ellipse (3.48cm and 1.89cm);
draw [save path=pathC,rotate around=13.37:(7.03,7.4)] (7.03,7.4) ellipse (1.2cm and 0.59cm);
draw [save path=pathD,rotate around=-18.43:(8.48,7.38)] (8.48,7.38) ellipse (1.23cm and 0.59cm);
draw [->] (8.96,6.46) -- (8.8,1.62);
draw [->] (6.7,6.38) -- (6.46,1.62);
draw [->] (7.3,0.98) -- (7.76,0.98);
draw (9.54,9.82) node $M$;
draw (6.8,7.3) node $U_i$;
draw (8.8,7.3) node $U_j$;
draw (6.24,4.34) node $psi_i$;
draw (9.52,4.2) node $psi_j$;
draw (8.94,-1.3) node $mathbfR^n$;
draw (7.6,0) node $psi_jcirc psi_i^-1$;
beginscope
clip[use path=pathA];
path[fill=blue,shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r))
-- ++ (1,0) |- cycle;
endscope
beginscope
clip[use path=pathB];
path[fill=blue,shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r))
-- ++ (-1,0) |- cycle;
endscope
clip[use path=pathC];
fill[blue,use path=pathD];
endtikzpicture
enddocument
However, I am wondering if you are willing to consider an arguably simpler code yielding a similar picture. Advantages include more relative positioning such that you can move complete parts around without having to redo all coordinates.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows,patterns
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle
45,x=1.0cm,y=1.0cm,standard ellipse around/.style args=#1 rotated by #2%
insert path=[rotate around=#2:#1] #1 circle[x radius=1.2cm,y radius=0.6cm]]
beginscope[yshift=6.5cm]
draw (0,0) circle[x radius=3.5cm,y radius=1.9cm];
node at (2,2.3) $M$;
draw (-0.7,-0.2) node[left] (Ui) $U_i$
[standard ellipse around=(-0.7,-0.2) rotated by 15];
draw (0.7,-0.2) node[right] (Uj) $U_i$
[standard ellipse around=(0.7,-0.2) rotated by -15];
clip[standard ellipse around=(0.7,-0.2) rotated by -15];
path[pattern=north east lines,
standard ellipse around=(-0.7,-0.2) rotated by 15];
endscope
beginscope[local bounding box=b]
beginscope[xshift=-4mm,local bounding box=bl]
draw[clip,standard ellipse around=(-1.2,0) rotated by 15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by -15];
endscope
beginscope[xshift=4mm,local bounding box=br]
draw[clip,standard ellipse around=(1.2,0) rotated by -15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by 15];
endscope
draw [->] (bl) -- (br) node[midway,below=8mm]$psi_jcirc psi_i^-1$;
endscope
draw[->] ([yshift=-0.5cm]Ui.south) -- ([yshift=2mm]bl.north-|Ui.south)
node[midway,left]$psi_i$;
draw[->] ([yshift=-0.5cm]Uj.south) -- ([yshift=2mm]br.north-|Uj.south)
node[midway,right]$psi_j$;
draw ([xshift=-1.5cm,yshift=-1cm]b.south west)
-- ([xshift=-1cm,yshift=1cm]b.north west)
-- ([xshift=1.5cm,yshift=1cm]b.north east)
-- ([xshift=1cm,yshift=-1cm]b.south east) -- cycle;
endtikzpicture
enddocument
Thank you very much for your answer@marmot
– MKS
9 mins ago
@MKS You're welcome!
– marmot
7 mins ago
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
There are two basic tricks that allow you to fill the area bounded by two different curves/contours:
- clip against one curve and fill the other;
- use
even odd rule
.
And there are combinations of the two and other possibilities. This answer focuses on possibility 1. Then there is the question how on could recycle curves for the fill. Out of several possibilities, this answer will utilize the use path
trick in the first part and insert path
in the second path.
The first path modifies your code such as to shade the correct (?) areas.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows
makeatletter % https://tex.stackexchange.com/a/38995/121799
tikzset
use path/.code=pgfsyssoftpath@setcurrentpath#1
makeatother
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
draw [rotate around=15.05:(6.07,0.75),save path=pathA] (6.07,0.75) ellipse (1.11cm and 0.56cm);
draw [rotate around=-13.74:(8.9,0.78),save path=pathB] (8.9,0.78) ellipse (1.07cm and 0.53cm);
draw (4.58,2.02)-- (11,2);
draw (11,2)-- (10.48,-1);
draw (10.48,-1)-- (4,-1);
draw (4,-1)-- (4.58,2.02);
draw [shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r));
draw [shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r));
draw [rotate around=-3.74:(8.09,7.47)] (8.09,7.47) ellipse (3.48cm and 1.89cm);
draw [save path=pathC,rotate around=13.37:(7.03,7.4)] (7.03,7.4) ellipse (1.2cm and 0.59cm);
draw [save path=pathD,rotate around=-18.43:(8.48,7.38)] (8.48,7.38) ellipse (1.23cm and 0.59cm);
draw [->] (8.96,6.46) -- (8.8,1.62);
draw [->] (6.7,6.38) -- (6.46,1.62);
draw [->] (7.3,0.98) -- (7.76,0.98);
draw (9.54,9.82) node $M$;
draw (6.8,7.3) node $U_i$;
draw (8.8,7.3) node $U_j$;
draw (6.24,4.34) node $psi_i$;
draw (9.52,4.2) node $psi_j$;
draw (8.94,-1.3) node $mathbfR^n$;
draw (7.6,0) node $psi_jcirc psi_i^-1$;
beginscope
clip[use path=pathA];
path[fill=blue,shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r))
-- ++ (1,0) |- cycle;
endscope
beginscope
clip[use path=pathB];
path[fill=blue,shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r))
-- ++ (-1,0) |- cycle;
endscope
clip[use path=pathC];
fill[blue,use path=pathD];
endtikzpicture
enddocument
However, I am wondering if you are willing to consider an arguably simpler code yielding a similar picture. Advantages include more relative positioning such that you can move complete parts around without having to redo all coordinates.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows,patterns
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle
45,x=1.0cm,y=1.0cm,standard ellipse around/.style args=#1 rotated by #2%
insert path=[rotate around=#2:#1] #1 circle[x radius=1.2cm,y radius=0.6cm]]
beginscope[yshift=6.5cm]
draw (0,0) circle[x radius=3.5cm,y radius=1.9cm];
node at (2,2.3) $M$;
draw (-0.7,-0.2) node[left] (Ui) $U_i$
[standard ellipse around=(-0.7,-0.2) rotated by 15];
draw (0.7,-0.2) node[right] (Uj) $U_i$
[standard ellipse around=(0.7,-0.2) rotated by -15];
clip[standard ellipse around=(0.7,-0.2) rotated by -15];
path[pattern=north east lines,
standard ellipse around=(-0.7,-0.2) rotated by 15];
endscope
beginscope[local bounding box=b]
beginscope[xshift=-4mm,local bounding box=bl]
draw[clip,standard ellipse around=(-1.2,0) rotated by 15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by -15];
endscope
beginscope[xshift=4mm,local bounding box=br]
draw[clip,standard ellipse around=(1.2,0) rotated by -15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by 15];
endscope
draw [->] (bl) -- (br) node[midway,below=8mm]$psi_jcirc psi_i^-1$;
endscope
draw[->] ([yshift=-0.5cm]Ui.south) -- ([yshift=2mm]bl.north-|Ui.south)
node[midway,left]$psi_i$;
draw[->] ([yshift=-0.5cm]Uj.south) -- ([yshift=2mm]br.north-|Uj.south)
node[midway,right]$psi_j$;
draw ([xshift=-1.5cm,yshift=-1cm]b.south west)
-- ([xshift=-1cm,yshift=1cm]b.north west)
-- ([xshift=1.5cm,yshift=1cm]b.north east)
-- ([xshift=1cm,yshift=-1cm]b.south east) -- cycle;
endtikzpicture
enddocument
Thank you very much for your answer@marmot
– MKS
9 mins ago
@MKS You're welcome!
– marmot
7 mins ago
add a comment |
There are two basic tricks that allow you to fill the area bounded by two different curves/contours:
- clip against one curve and fill the other;
- use
even odd rule
.
And there are combinations of the two and other possibilities. This answer focuses on possibility 1. Then there is the question how on could recycle curves for the fill. Out of several possibilities, this answer will utilize the use path
trick in the first part and insert path
in the second path.
The first path modifies your code such as to shade the correct (?) areas.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows
makeatletter % https://tex.stackexchange.com/a/38995/121799
tikzset
use path/.code=pgfsyssoftpath@setcurrentpath#1
makeatother
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
draw [rotate around=15.05:(6.07,0.75),save path=pathA] (6.07,0.75) ellipse (1.11cm and 0.56cm);
draw [rotate around=-13.74:(8.9,0.78),save path=pathB] (8.9,0.78) ellipse (1.07cm and 0.53cm);
draw (4.58,2.02)-- (11,2);
draw (11,2)-- (10.48,-1);
draw (10.48,-1)-- (4,-1);
draw (4,-1)-- (4.58,2.02);
draw [shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r));
draw [shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r));
draw [rotate around=-3.74:(8.09,7.47)] (8.09,7.47) ellipse (3.48cm and 1.89cm);
draw [save path=pathC,rotate around=13.37:(7.03,7.4)] (7.03,7.4) ellipse (1.2cm and 0.59cm);
draw [save path=pathD,rotate around=-18.43:(8.48,7.38)] (8.48,7.38) ellipse (1.23cm and 0.59cm);
draw [->] (8.96,6.46) -- (8.8,1.62);
draw [->] (6.7,6.38) -- (6.46,1.62);
draw [->] (7.3,0.98) -- (7.76,0.98);
draw (9.54,9.82) node $M$;
draw (6.8,7.3) node $U_i$;
draw (8.8,7.3) node $U_j$;
draw (6.24,4.34) node $psi_i$;
draw (9.52,4.2) node $psi_j$;
draw (8.94,-1.3) node $mathbfR^n$;
draw (7.6,0) node $psi_jcirc psi_i^-1$;
beginscope
clip[use path=pathA];
path[fill=blue,shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r))
-- ++ (1,0) |- cycle;
endscope
beginscope
clip[use path=pathB];
path[fill=blue,shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r))
-- ++ (-1,0) |- cycle;
endscope
clip[use path=pathC];
fill[blue,use path=pathD];
endtikzpicture
enddocument
However, I am wondering if you are willing to consider an arguably simpler code yielding a similar picture. Advantages include more relative positioning such that you can move complete parts around without having to redo all coordinates.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows,patterns
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle
45,x=1.0cm,y=1.0cm,standard ellipse around/.style args=#1 rotated by #2%
insert path=[rotate around=#2:#1] #1 circle[x radius=1.2cm,y radius=0.6cm]]
beginscope[yshift=6.5cm]
draw (0,0) circle[x radius=3.5cm,y radius=1.9cm];
node at (2,2.3) $M$;
draw (-0.7,-0.2) node[left] (Ui) $U_i$
[standard ellipse around=(-0.7,-0.2) rotated by 15];
draw (0.7,-0.2) node[right] (Uj) $U_i$
[standard ellipse around=(0.7,-0.2) rotated by -15];
clip[standard ellipse around=(0.7,-0.2) rotated by -15];
path[pattern=north east lines,
standard ellipse around=(-0.7,-0.2) rotated by 15];
endscope
beginscope[local bounding box=b]
beginscope[xshift=-4mm,local bounding box=bl]
draw[clip,standard ellipse around=(-1.2,0) rotated by 15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by -15];
endscope
beginscope[xshift=4mm,local bounding box=br]
draw[clip,standard ellipse around=(1.2,0) rotated by -15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by 15];
endscope
draw [->] (bl) -- (br) node[midway,below=8mm]$psi_jcirc psi_i^-1$;
endscope
draw[->] ([yshift=-0.5cm]Ui.south) -- ([yshift=2mm]bl.north-|Ui.south)
node[midway,left]$psi_i$;
draw[->] ([yshift=-0.5cm]Uj.south) -- ([yshift=2mm]br.north-|Uj.south)
node[midway,right]$psi_j$;
draw ([xshift=-1.5cm,yshift=-1cm]b.south west)
-- ([xshift=-1cm,yshift=1cm]b.north west)
-- ([xshift=1.5cm,yshift=1cm]b.north east)
-- ([xshift=1cm,yshift=-1cm]b.south east) -- cycle;
endtikzpicture
enddocument
Thank you very much for your answer@marmot
– MKS
9 mins ago
@MKS You're welcome!
– marmot
7 mins ago
add a comment |
There are two basic tricks that allow you to fill the area bounded by two different curves/contours:
- clip against one curve and fill the other;
- use
even odd rule
.
And there are combinations of the two and other possibilities. This answer focuses on possibility 1. Then there is the question how on could recycle curves for the fill. Out of several possibilities, this answer will utilize the use path
trick in the first part and insert path
in the second path.
The first path modifies your code such as to shade the correct (?) areas.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows
makeatletter % https://tex.stackexchange.com/a/38995/121799
tikzset
use path/.code=pgfsyssoftpath@setcurrentpath#1
makeatother
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
draw [rotate around=15.05:(6.07,0.75),save path=pathA] (6.07,0.75) ellipse (1.11cm and 0.56cm);
draw [rotate around=-13.74:(8.9,0.78),save path=pathB] (8.9,0.78) ellipse (1.07cm and 0.53cm);
draw (4.58,2.02)-- (11,2);
draw (11,2)-- (10.48,-1);
draw (10.48,-1)-- (4,-1);
draw (4,-1)-- (4.58,2.02);
draw [shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r));
draw [shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r));
draw [rotate around=-3.74:(8.09,7.47)] (8.09,7.47) ellipse (3.48cm and 1.89cm);
draw [save path=pathC,rotate around=13.37:(7.03,7.4)] (7.03,7.4) ellipse (1.2cm and 0.59cm);
draw [save path=pathD,rotate around=-18.43:(8.48,7.38)] (8.48,7.38) ellipse (1.23cm and 0.59cm);
draw [->] (8.96,6.46) -- (8.8,1.62);
draw [->] (6.7,6.38) -- (6.46,1.62);
draw [->] (7.3,0.98) -- (7.76,0.98);
draw (9.54,9.82) node $M$;
draw (6.8,7.3) node $U_i$;
draw (8.8,7.3) node $U_j$;
draw (6.24,4.34) node $psi_i$;
draw (9.52,4.2) node $psi_j$;
draw (8.94,-1.3) node $mathbfR^n$;
draw (7.6,0) node $psi_jcirc psi_i^-1$;
beginscope
clip[use path=pathA];
path[fill=blue,shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r))
-- ++ (1,0) |- cycle;
endscope
beginscope
clip[use path=pathB];
path[fill=blue,shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r))
-- ++ (-1,0) |- cycle;
endscope
clip[use path=pathC];
fill[blue,use path=pathD];
endtikzpicture
enddocument
However, I am wondering if you are willing to consider an arguably simpler code yielding a similar picture. Advantages include more relative positioning such that you can move complete parts around without having to redo all coordinates.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows,patterns
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle
45,x=1.0cm,y=1.0cm,standard ellipse around/.style args=#1 rotated by #2%
insert path=[rotate around=#2:#1] #1 circle[x radius=1.2cm,y radius=0.6cm]]
beginscope[yshift=6.5cm]
draw (0,0) circle[x radius=3.5cm,y radius=1.9cm];
node at (2,2.3) $M$;
draw (-0.7,-0.2) node[left] (Ui) $U_i$
[standard ellipse around=(-0.7,-0.2) rotated by 15];
draw (0.7,-0.2) node[right] (Uj) $U_i$
[standard ellipse around=(0.7,-0.2) rotated by -15];
clip[standard ellipse around=(0.7,-0.2) rotated by -15];
path[pattern=north east lines,
standard ellipse around=(-0.7,-0.2) rotated by 15];
endscope
beginscope[local bounding box=b]
beginscope[xshift=-4mm,local bounding box=bl]
draw[clip,standard ellipse around=(-1.2,0) rotated by 15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by -15];
endscope
beginscope[xshift=4mm,local bounding box=br]
draw[clip,standard ellipse around=(1.2,0) rotated by -15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by 15];
endscope
draw [->] (bl) -- (br) node[midway,below=8mm]$psi_jcirc psi_i^-1$;
endscope
draw[->] ([yshift=-0.5cm]Ui.south) -- ([yshift=2mm]bl.north-|Ui.south)
node[midway,left]$psi_i$;
draw[->] ([yshift=-0.5cm]Uj.south) -- ([yshift=2mm]br.north-|Uj.south)
node[midway,right]$psi_j$;
draw ([xshift=-1.5cm,yshift=-1cm]b.south west)
-- ([xshift=-1cm,yshift=1cm]b.north west)
-- ([xshift=1.5cm,yshift=1cm]b.north east)
-- ([xshift=1cm,yshift=-1cm]b.south east) -- cycle;
endtikzpicture
enddocument
There are two basic tricks that allow you to fill the area bounded by two different curves/contours:
- clip against one curve and fill the other;
- use
even odd rule
.
And there are combinations of the two and other possibilities. This answer focuses on possibility 1. Then there is the question how on could recycle curves for the fill. Out of several possibilities, this answer will utilize the use path
trick in the first part and insert path
in the second path.
The first path modifies your code such as to shade the correct (?) areas.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows
makeatletter % https://tex.stackexchange.com/a/38995/121799
tikzset
use path/.code=pgfsyssoftpath@setcurrentpath#1
makeatother
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
draw [rotate around=15.05:(6.07,0.75),save path=pathA] (6.07,0.75) ellipse (1.11cm and 0.56cm);
draw [rotate around=-13.74:(8.9,0.78),save path=pathB] (8.9,0.78) ellipse (1.07cm and 0.53cm);
draw (4.58,2.02)-- (11,2);
draw (11,2)-- (10.48,-1);
draw (10.48,-1)-- (4,-1);
draw (4,-1)-- (4.58,2.02);
draw [shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r));
draw [shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r));
draw [rotate around=-3.74:(8.09,7.47)] (8.09,7.47) ellipse (3.48cm and 1.89cm);
draw [save path=pathC,rotate around=13.37:(7.03,7.4)] (7.03,7.4) ellipse (1.2cm and 0.59cm);
draw [save path=pathD,rotate around=-18.43:(8.48,7.38)] (8.48,7.38) ellipse (1.23cm and 0.59cm);
draw [->] (8.96,6.46) -- (8.8,1.62);
draw [->] (6.7,6.38) -- (6.46,1.62);
draw [->] (7.3,0.98) -- (7.76,0.98);
draw (9.54,9.82) node $M$;
draw (6.8,7.3) node $U_i$;
draw (8.8,7.3) node $U_j$;
draw (6.24,4.34) node $psi_i$;
draw (9.52,4.2) node $psi_j$;
draw (8.94,-1.3) node $mathbfR^n$;
draw (7.6,0) node $psi_jcirc psi_i^-1$;
beginscope
clip[use path=pathA];
path[fill=blue,shift=(6.76,0.91)] plot[domain=1.71:4.85,variable=t](1*0.43*cos(t r)+0*0.43*sin(t r),0*0.43*cos(t r)+1*0.43*sin(t r))
-- ++ (1,0) |- cycle;
endscope
beginscope
clip[use path=pathB];
path[fill=blue,shift=(8.25,0.9)] plot[domain=-1.6:1.54,variable=t](1*0.42*cos(t r)+0*0.42*sin(t r),0*0.42*cos(t r)+1*0.42*sin(t r))
-- ++ (-1,0) |- cycle;
endscope
clip[use path=pathC];
fill[blue,use path=pathD];
endtikzpicture
enddocument
However, I am wondering if you are willing to consider an arguably simpler code yielding a similar picture. Advantages include more relative positioning such that you can move complete parts around without having to redo all coordinates.
documentclass[10pt]article
usepackagetikz
usetikzlibraryarrows,patterns
pagestyleempty
begindocument
begintikzpicture[line cap=round,line join=round,>=triangle
45,x=1.0cm,y=1.0cm,standard ellipse around/.style args=#1 rotated by #2%
insert path=[rotate around=#2:#1] #1 circle[x radius=1.2cm,y radius=0.6cm]]
beginscope[yshift=6.5cm]
draw (0,0) circle[x radius=3.5cm,y radius=1.9cm];
node at (2,2.3) $M$;
draw (-0.7,-0.2) node[left] (Ui) $U_i$
[standard ellipse around=(-0.7,-0.2) rotated by 15];
draw (0.7,-0.2) node[right] (Uj) $U_i$
[standard ellipse around=(0.7,-0.2) rotated by -15];
clip[standard ellipse around=(0.7,-0.2) rotated by -15];
path[pattern=north east lines,
standard ellipse around=(-0.7,-0.2) rotated by 15];
endscope
beginscope[local bounding box=b]
beginscope[xshift=-4mm,local bounding box=bl]
draw[clip,standard ellipse around=(-1.2,0) rotated by 15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by -15];
endscope
beginscope[xshift=4mm,local bounding box=br]
draw[clip,standard ellipse around=(1.2,0) rotated by -15];
draw[pattern=north east lines,standard ellipse around=(0,0) rotated by 15];
endscope
draw [->] (bl) -- (br) node[midway,below=8mm]$psi_jcirc psi_i^-1$;
endscope
draw[->] ([yshift=-0.5cm]Ui.south) -- ([yshift=2mm]bl.north-|Ui.south)
node[midway,left]$psi_i$;
draw[->] ([yshift=-0.5cm]Uj.south) -- ([yshift=2mm]br.north-|Uj.south)
node[midway,right]$psi_j$;
draw ([xshift=-1.5cm,yshift=-1cm]b.south west)
-- ([xshift=-1cm,yshift=1cm]b.north west)
-- ([xshift=1.5cm,yshift=1cm]b.north east)
-- ([xshift=1cm,yshift=-1cm]b.south east) -- cycle;
endtikzpicture
enddocument
edited 43 mins ago
answered 2 hours ago
marmotmarmot
116k5147277
116k5147277
Thank you very much for your answer@marmot
– MKS
9 mins ago
@MKS You're welcome!
– marmot
7 mins ago
add a comment |
Thank you very much for your answer@marmot
– MKS
9 mins ago
@MKS You're welcome!
– marmot
7 mins ago
Thank you very much for your answer@marmot
– MKS
9 mins ago
Thank you very much for your answer@marmot
– MKS
9 mins ago
@MKS You're welcome!
– marmot
7 mins ago
@MKS You're welcome!
– marmot
7 mins ago
add a comment |
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