Filling an area between two curves Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)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
How do I keep my slimes from escaping their pens?
Should I discuss the type of campaign with my players?
What LEGO pieces have "real-world" functionality?
ListPlot join points by nearest neighbor rather than order
3 doors, three guards, one stone
How to draw this diagram using TikZ package?
Proof involving the spectral radius and Jordan Canonical form
What causes the vertical darker bands in my photo?
How do I stop a creek from eroding my steep embankment?
Using et al. for a last / senior author rather than for a first author
Why are there no cargo aircraft with "flying wing" design?
Letter Boxed validator
How do I mention the quality of my school without bragging
What is the correct way to use the pinch test for dehydration?
How can players work together to take actions that are otherwise impossible?
When -s is used with third person singular. What's its use in this context?
What are the motives behind Cersei's orders given to Bronn?
Right-skewed distribution with mean equals to mode?
"Seemed to had" is it correct?
How can I make names more distinctive without making them longer?
Why is "Consequences inflicted." not a sentence?
What are 'alternative tunings' of a guitar and why would you use them? Doesn't it make it more difficult to play?
I am not a queen, who am I?
Is there a service that would inform me whenever a new direct route is scheduled from a given airport?
Filling an area between two curves
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)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 Apr 9 at 2:31
MKS
asked Apr 9 at 2:16
MKSMKS
1084
1084
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
Apr 9 at 5:09
@MKS You're welcome!
– marmot
Apr 9 at 5:11
You can usepgfsetpath
instead of the low levelpgfsyssoftpath@setcurrentpath
(as they are identical) and avoidmakeatletter ... makeatother
.
– Kpym
Apr 9 at 13:52
add a comment |
Your Answer
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "85"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f483892%2ffilling-an-area-between-two-curves%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
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
Apr 9 at 5:09
@MKS You're welcome!
– marmot
Apr 9 at 5:11
You can usepgfsetpath
instead of the low levelpgfsyssoftpath@setcurrentpath
(as they are identical) and avoidmakeatletter ... makeatother
.
– Kpym
Apr 9 at 13:52
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
Apr 9 at 5:09
@MKS You're welcome!
– marmot
Apr 9 at 5:11
You can usepgfsetpath
instead of the low levelpgfsyssoftpath@setcurrentpath
(as they are identical) and avoidmakeatletter ... makeatother
.
– Kpym
Apr 9 at 13:52
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 Apr 9 at 4:35
answered Apr 9 at 3:13
marmotmarmot
118k6152286
118k6152286
Thank you very much for your answer@marmot
– MKS
Apr 9 at 5:09
@MKS You're welcome!
– marmot
Apr 9 at 5:11
You can usepgfsetpath
instead of the low levelpgfsyssoftpath@setcurrentpath
(as they are identical) and avoidmakeatletter ... makeatother
.
– Kpym
Apr 9 at 13:52
add a comment |
Thank you very much for your answer@marmot
– MKS
Apr 9 at 5:09
@MKS You're welcome!
– marmot
Apr 9 at 5:11
You can usepgfsetpath
instead of the low levelpgfsyssoftpath@setcurrentpath
(as they are identical) and avoidmakeatletter ... makeatother
.
– Kpym
Apr 9 at 13:52
Thank you very much for your answer@marmot
– MKS
Apr 9 at 5:09
Thank you very much for your answer@marmot
– MKS
Apr 9 at 5:09
@MKS You're welcome!
– marmot
Apr 9 at 5:11
@MKS You're welcome!
– marmot
Apr 9 at 5:11
You can use
pgfsetpath
instead of the low level pgfsyssoftpath@setcurrentpath
(as they are identical) and avoid makeatletter ... makeatother
.– Kpym
Apr 9 at 13:52
You can use
pgfsetpath
instead of the low level pgfsyssoftpath@setcurrentpath
(as they are identical) and avoid makeatletter ... makeatother
.– Kpym
Apr 9 at 13:52
add a comment |
Thanks for contributing an answer to TeX - LaTeX Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f483892%2ffilling-an-area-between-two-curves%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown