Filling an area between two curvesHow 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
Junior developer struggles: how to communicate with management?
Proof that when f'(x) < f(x), f(x) =0
Why do money exchangers give different rates to different bills
How do you center multiple equations that have multiple steps?
Stark VS Thanos
Unexpected email from Yorkshire Bank
When and why did journal article titles become descriptive, rather than creatively allusive?
Save terminal output to a txt file
If 1. e4 c6 is considered as a sound defense for black, why is 1. c3 so rare?
Is it cheaper to drop cargo than to land it?
A non-technological, repeating, phenomenon in the sky, holding its position in the sky for hours
How to back up a running Linode server?
Can I use 1000v rectifier diodes instead of 600v rectifier diodes?
Missed the connecting flight
What was the state of the German rail system in 1944?
Why is this a valid proof for the harmonic series?
Password expiration with Password manager
Pressure to defend the relevance of one's area of mathematics
Meaning of "individuandum"
Airbnb - host wants to reduce rooms, can we get refund?
Is it the same airport YUL and YMQ in Canada?
How to scale a verbatim environment on a minipage?
What precisely is a link?
Field Length Validation for Desktop Application which has maximum 1000 characters
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
8
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
asked Apr 9 at 2:16
MKSMKS
1134
add a comment |
8
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
asked Apr 9 at 2:16
MKSMKS
1134
add a comment |
8
8
8
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
asked Apr 9 at 2:16
MKSMKS
1134
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
asked Apr 9 at 2:16
MKSMKS
1134
asked Apr 9 at 2:16
MKSMKS
1134
edited Apr 9 at 2:31
MKS
asked Apr 9 at 2:16
MKSMKS
1134
asked Apr 9 at 2:16
MKSMKS
1134
asked Apr 9 at 2:16
MKSMKS
1134
1134
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
14
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
answered Apr 9 at 3:13
marmotmarmot
122k6160300
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 usepgfsetpathinstead 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
);
);
draft saved
draft discarded
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
14
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
answered Apr 9 at 3:13
marmotmarmot
122k6160300
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 usepgfsetpathinstead of the low levelpgfsyssoftpath@setcurrentpath(as they are identical) and avoidmakeatletter ... makeatother.
– Kpym
Apr 9 at 13:52
add a comment |
14
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
answered Apr 9 at 3:13
marmotmarmot
122k6160300
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 usepgfsetpathinstead of the low levelpgfsyssoftpath@setcurrentpath(as they are identical) and avoidmakeatletter ... makeatother.
– Kpym
Apr 9 at 13:52
add a comment |
14
14
14
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
answered Apr 9 at 3:13
marmotmarmot
122k6160300
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
answered Apr 9 at 3:13
marmotmarmot
122k6160300
edited Apr 9 at 4:35
answered Apr 9 at 3:13
marmotmarmot
122k6160300
answered Apr 9 at 3:13
marmotmarmot
122k6160300
answered Apr 9 at 3:13
marmotmarmot
122k6160300
122k6160300
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 usepgfsetpathinstead 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 usepgfsetpathinstead 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 |
draft saved
draft discarded
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.
draft saved
draft discarded
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
