Fill area between curves with tikzfillbetween

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I need to fill the area between a few curves with tikzfillbetween, but I don't want the inner circle to be filled.

documentclassstandalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

draw [black, line width=1pt,samples=100,domain=0:2*pi, name path=A] 
plot (R*cos(x r), R*sin(x r));

draw [black, line width=1pt,samples=100,domain=-pi/6:pi/6, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/6:pi/2, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/2:5/6*pi, name path=D] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=5*pi/6:7*pi/6, name path=E] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=7*pi/6:3*pi/2, name path=F]
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=3*pi/2:11*pi/6, name path=G] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

tikzfillbetween[of=A and B]blue;
tikzfillbetween[of=A and C]red;
tikzfillbetween[of=A and D]blue;
tikzfillbetween[of=A and E]red;
tikzfillbetween[of=A and F]blue;
tikzfillbetween[of=A and G]red;

endtikzpicture

enddocument

tikz-pgf draw

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asked 4 hours ago

jlorenzo

183

add a comment | 

up vote
2
down vote

favorite

I need to fill the area between a few curves with tikzfillbetween, but I don't want the inner circle to be filled.

documentclassstandalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

draw [black, line width=1pt,samples=100,domain=0:2*pi, name path=A] 
plot (R*cos(x r), R*sin(x r));

draw [black, line width=1pt,samples=100,domain=-pi/6:pi/6, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/6:pi/2, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/2:5/6*pi, name path=D] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=5*pi/6:7*pi/6, name path=E] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=7*pi/6:3*pi/2, name path=F]
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=3*pi/2:11*pi/6, name path=G] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

tikzfillbetween[of=A and B]blue;
tikzfillbetween[of=A and C]red;
tikzfillbetween[of=A and D]blue;
tikzfillbetween[of=A and E]red;
tikzfillbetween[of=A and F]blue;
tikzfillbetween[of=A and G]red;

endtikzpicture

enddocument

tikz-pgf draw

share|improve this question

asked 4 hours ago

jlorenzo

183

add a comment | 

up vote
2
down vote

favorite

up vote
2
down vote

favorite

I need to fill the area between a few curves with tikzfillbetween, but I don't want the inner circle to be filled.

documentclassstandalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

draw [black, line width=1pt,samples=100,domain=0:2*pi, name path=A] 
plot (R*cos(x r), R*sin(x r));

draw [black, line width=1pt,samples=100,domain=-pi/6:pi/6, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/6:pi/2, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/2:5/6*pi, name path=D] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=5*pi/6:7*pi/6, name path=E] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=7*pi/6:3*pi/2, name path=F]
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=3*pi/2:11*pi/6, name path=G] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

tikzfillbetween[of=A and B]blue;
tikzfillbetween[of=A and C]red;
tikzfillbetween[of=A and D]blue;
tikzfillbetween[of=A and E]red;
tikzfillbetween[of=A and F]blue;
tikzfillbetween[of=A and G]red;

endtikzpicture

enddocument

tikz-pgf draw

share|improve this question

asked 4 hours ago

jlorenzo

183

I need to fill the area between a few curves with tikzfillbetween, but I don't want the inner circle to be filled.

documentclassstandalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

draw [black, line width=1pt,samples=100,domain=0:2*pi, name path=A] 
plot (R*cos(x r), R*sin(x r));

draw [black, line width=1pt,samples=100,domain=-pi/6:pi/6, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/6:pi/2, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/2:5/6*pi, name path=D] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=5*pi/6:7*pi/6, name path=E] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=7*pi/6:3*pi/2, name path=F]
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=3*pi/2:11*pi/6, name path=G] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

tikzfillbetween[of=A and B]blue;
tikzfillbetween[of=A and C]red;
tikzfillbetween[of=A and D]blue;
tikzfillbetween[of=A and E]red;
tikzfillbetween[of=A and F]blue;
tikzfillbetween[of=A and G]red;

endtikzpicture

enddocument

tikz-pgf draw

tikz-pgf draw

share|improve this question

asked 4 hours ago

jlorenzo

183

share|improve this question

asked 4 hours ago

jlorenzo

183

share|improve this question

share|improve this question

asked 4 hours ago

jlorenzo

183

asked 4 hours ago

jlorenzo

183

asked 4 hours ago

jlorenzo

183

183

add a comment | 

add a comment | 

2 Answers
2

active

oldest

votes

up vote
3
down vote

I have never used pgfplots before and I notice that your code consists in making 6 times the same curve by rotating it around the origin. So I used two foreach loops: one to color in blue, the other to color in red with the same code as you.

This results in:

documentclass[border=5mm]standalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

foreach d in -pi/6:pi/6,pi/2:5/6*pi,-pi/2:-5*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=B and A]blue;


foreach d [count=c] in pi/2:pi/6,5*pi/6:7*pi/6,3*pi/2:11*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=A and C]red;


endtikzpicture

enddocument

share|improve this answer

answered 3 hours ago

AndréC

3,481729

• 
  
  
  

  
  

  
  
  
  
  
  

  
  The pgfplots library fillbetween can be used without doing pgfplots stuff, i.e. without using an axis environment. It allows you to fill intersection segments of long paths. (If the task here is just to produce the picture, you only need to fill the inner circle white at the end of the OP's code. I thought the task was to make use of the pgfplots library fillbetween because the OP is loading it. However, who knows. +1)
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @marmot I didn't quite understand your comment. The only thing I did was to trace each of the six lunula separately with the fillbetween library. I didn't try to do what the OP said, I coded the same construction differently to get around its problem. I could have done 120° rotations, it would have resulted in the same result. +1 too :)
  – AndréC
  1 hour ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  What I want to say is that with fillbetween you can decompose a long path into small segments for the fills, and you do not have to create a whole lot of additional paths. In this case, this can be done because we know the parametrizations of the segments, in general, however, we do not, and then this library is really useful.
  – marmot
  1 hour ago
  

  
  
  
  

add a comment | 

up vote
2
down vote

You are loading but not really using the pgfplots library fillbetween. In order to achieve what you want, consider filling intersection sequences rather than the full paths. A is very long, and if you fill the full thing, the circle will be filled.

documentclassstandalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

draw [black, line width=1pt,samples=100,domain=0:2*pi, name path=A] 
plot (R*cos(x r), R*sin(x r));

draw [black, line width=1pt,samples=100,domain=-pi/6:pi/6, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/6:pi/2, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/2:5/6*pi, name path=D] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=5*pi/6:7*pi/6, name path=E] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=7*pi/6:3*pi/2, name path=F]
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=3*pi/2:11*pi/6, name path=G] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

fill [blue,intersection segments=of=A and B,
 sequence=A0 -- B1[reverse]];
fill [red,intersection segments=of=A and C,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and D,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and E,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and F,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and G,
 sequence=A1 -- B1[reverse]];

endtikzpicture

enddocument

share|improve this answer

answered 4 hours ago

marmot

63.5k468136

add a comment | 

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2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
3
down vote

I have never used pgfplots before and I notice that your code consists in making 6 times the same curve by rotating it around the origin. So I used two foreach loops: one to color in blue, the other to color in red with the same code as you.

This results in:

documentclass[border=5mm]standalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

foreach d in -pi/6:pi/6,pi/2:5/6*pi,-pi/2:-5*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=B and A]blue;


foreach d [count=c] in pi/2:pi/6,5*pi/6:7*pi/6,3*pi/2:11*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=A and C]red;


endtikzpicture

enddocument

share|improve this answer

answered 3 hours ago

AndréC

3,481729

• 
  
  
  

  
  

  
  
  
  
  
  

  
  The pgfplots library fillbetween can be used without doing pgfplots stuff, i.e. without using an axis environment. It allows you to fill intersection segments of long paths. (If the task here is just to produce the picture, you only need to fill the inner circle white at the end of the OP's code. I thought the task was to make use of the pgfplots library fillbetween because the OP is loading it. However, who knows. +1)
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @marmot I didn't quite understand your comment. The only thing I did was to trace each of the six lunula separately with the fillbetween library. I didn't try to do what the OP said, I coded the same construction differently to get around its problem. I could have done 120° rotations, it would have resulted in the same result. +1 too :)
  – AndréC
  1 hour ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  What I want to say is that with fillbetween you can decompose a long path into small segments for the fills, and you do not have to create a whole lot of additional paths. In this case, this can be done because we know the parametrizations of the segments, in general, however, we do not, and then this library is really useful.
  – marmot
  1 hour ago
  

  
  
  
  

add a comment | 

up vote
3
down vote

I have never used pgfplots before and I notice that your code consists in making 6 times the same curve by rotating it around the origin. So I used two foreach loops: one to color in blue, the other to color in red with the same code as you.

This results in:

documentclass[border=5mm]standalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

foreach d in -pi/6:pi/6,pi/2:5/6*pi,-pi/2:-5*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=B and A]blue;


foreach d [count=c] in pi/2:pi/6,5*pi/6:7*pi/6,3*pi/2:11*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=A and C]red;


endtikzpicture

enddocument

share|improve this answer

answered 3 hours ago

AndréC

3,481729

• 
  
  
  

  
  

  
  
  
  
  
  

  
  The pgfplots library fillbetween can be used without doing pgfplots stuff, i.e. without using an axis environment. It allows you to fill intersection segments of long paths. (If the task here is just to produce the picture, you only need to fill the inner circle white at the end of the OP's code. I thought the task was to make use of the pgfplots library fillbetween because the OP is loading it. However, who knows. +1)
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @marmot I didn't quite understand your comment. The only thing I did was to trace each of the six lunula separately with the fillbetween library. I didn't try to do what the OP said, I coded the same construction differently to get around its problem. I could have done 120° rotations, it would have resulted in the same result. +1 too :)
  – AndréC
  1 hour ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  What I want to say is that with fillbetween you can decompose a long path into small segments for the fills, and you do not have to create a whole lot of additional paths. In this case, this can be done because we know the parametrizations of the segments, in general, however, we do not, and then this library is really useful.
  – marmot
  1 hour ago
  

  
  
  
  

add a comment | 

up vote
3
down vote

up vote
3
down vote

I have never used pgfplots before and I notice that your code consists in making 6 times the same curve by rotating it around the origin. So I used two foreach loops: one to color in blue, the other to color in red with the same code as you.

This results in:

documentclass[border=5mm]standalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

foreach d in -pi/6:pi/6,pi/2:5/6*pi,-pi/2:-5*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=B and A]blue;


foreach d [count=c] in pi/2:pi/6,5*pi/6:7*pi/6,3*pi/2:11*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=A and C]red;


endtikzpicture

enddocument

share|improve this answer

answered 3 hours ago

AndréC

3,481729

I have never used pgfplots before and I notice that your code consists in making 6 times the same curve by rotating it around the origin. So I used two foreach loops: one to color in blue, the other to color in red with the same code as you.

This results in:

documentclass[border=5mm]standalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

foreach d in -pi/6:pi/6,pi/2:5/6*pi,-pi/2:-5*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=B and A]blue;


foreach d [count=c] in pi/2:pi/6,5*pi/6:7*pi/6,3*pi/2:11*pi/6

draw [black, line width=1pt,samples=100,domain=d, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));
draw [black, line width=1pt,samples=100,domain=d, name path=A] 
plot (R*cos(x r), R*sin(x r));
tikzfillbetween[of=A and C]red;


endtikzpicture

enddocument

share|improve this answer

answered 3 hours ago

AndréC

3,481729

share|improve this answer

share|improve this answer

answered 3 hours ago

AndréC

3,481729

answered 3 hours ago

AndréC

3,481729

answered 3 hours ago

AndréC

3,481729

3,481729

• 
  
  
  

  
  

  
  
  
  
  
  

  
  The pgfplots library fillbetween can be used without doing pgfplots stuff, i.e. without using an axis environment. It allows you to fill intersection segments of long paths. (If the task here is just to produce the picture, you only need to fill the inner circle white at the end of the OP's code. I thought the task was to make use of the pgfplots library fillbetween because the OP is loading it. However, who knows. +1)
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @marmot I didn't quite understand your comment. The only thing I did was to trace each of the six lunula separately with the fillbetween library. I didn't try to do what the OP said, I coded the same construction differently to get around its problem. I could have done 120° rotations, it would have resulted in the same result. +1 too :)
  – AndréC
  1 hour ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  What I want to say is that with fillbetween you can decompose a long path into small segments for the fills, and you do not have to create a whole lot of additional paths. In this case, this can be done because we know the parametrizations of the segments, in general, however, we do not, and then this library is really useful.
  – marmot
  1 hour ago
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  The pgfplots library fillbetween can be used without doing pgfplots stuff, i.e. without using an axis environment. It allows you to fill intersection segments of long paths. (If the task here is just to produce the picture, you only need to fill the inner circle white at the end of the OP's code. I thought the task was to make use of the pgfplots library fillbetween because the OP is loading it. However, who knows. +1)
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @marmot I didn't quite understand your comment. The only thing I did was to trace each of the six lunula separately with the fillbetween library. I didn't try to do what the OP said, I coded the same construction differently to get around its problem. I could have done 120° rotations, it would have resulted in the same result. +1 too :)
  – AndréC
  1 hour ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  What I want to say is that with fillbetween you can decompose a long path into small segments for the fills, and you do not have to create a whole lot of additional paths. In this case, this can be done because we know the parametrizations of the segments, in general, however, we do not, and then this library is really useful.
  – marmot
  1 hour ago
  

  
  
  
  

The pgfplots library fillbetween can be used without doing pgfplots stuff, i.e. without using an axis environment. It allows you to fill intersection segments of long paths. (If the task here is just to produce the picture, you only need to fill the inner circle white at the end of the OP's code. I thought the task was to make use of the pgfplots library fillbetween because the OP is loading it. However, who knows. +1)
– marmot
2 hours ago

The pgfplots library fillbetween can be used without doing pgfplots stuff, i.e. without using an axis environment. It allows you to fill intersection segments of long paths. (If the task here is just to produce the picture, you only need to fill the inner circle white at the end of the OP's code. I thought the task was to make use of the pgfplots library fillbetween because the OP is loading it. However, who knows. +1)
– marmot
2 hours ago

@marmot I didn't quite understand your comment. The only thing I did was to trace each of the six lunula separately with the fillbetween library. I didn't try to do what the OP said, I coded the same construction differently to get around its problem. I could have done 120° rotations, it would have resulted in the same result. +1 too :)
– AndréC
1 hour ago

@marmot I didn't quite understand your comment. The only thing I did was to trace each of the six lunula separately with the fillbetween library. I didn't try to do what the OP said, I coded the same construction differently to get around its problem. I could have done 120° rotations, it would have resulted in the same result. +1 too :)
– AndréC
1 hour ago

What I want to say is that with fillbetween you can decompose a long path into small segments for the fills, and you do not have to create a whole lot of additional paths. In this case, this can be done because we know the parametrizations of the segments, in general, however, we do not, and then this library is really useful.
– marmot
1 hour ago

What I want to say is that with fillbetween you can decompose a long path into small segments for the fills, and you do not have to create a whole lot of additional paths. In this case, this can be done because we know the parametrizations of the segments, in general, however, we do not, and then this library is really useful.
– marmot
1 hour ago

add a comment | 

up vote
2
down vote

You are loading but not really using the pgfplots library fillbetween. In order to achieve what you want, consider filling intersection sequences rather than the full paths. A is very long, and if you fill the full thing, the circle will be filled.

documentclassstandalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

draw [black, line width=1pt,samples=100,domain=0:2*pi, name path=A] 
plot (R*cos(x r), R*sin(x r));

draw [black, line width=1pt,samples=100,domain=-pi/6:pi/6, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/6:pi/2, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/2:5/6*pi, name path=D] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=5*pi/6:7*pi/6, name path=E] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=7*pi/6:3*pi/2, name path=F]
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=3*pi/2:11*pi/6, name path=G] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

fill [blue,intersection segments=of=A and B,
 sequence=A0 -- B1[reverse]];
fill [red,intersection segments=of=A and C,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and D,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and E,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and F,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and G,
 sequence=A1 -- B1[reverse]];

endtikzpicture

enddocument

share|improve this answer

answered 4 hours ago

marmot

63.5k468136

add a comment | 

up vote
2
down vote

You are loading but not really using the pgfplots library fillbetween. In order to achieve what you want, consider filling intersection sequences rather than the full paths. A is very long, and if you fill the full thing, the circle will be filled.

documentclassstandalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

draw [black, line width=1pt,samples=100,domain=0:2*pi, name path=A] 
plot (R*cos(x r), R*sin(x r));

draw [black, line width=1pt,samples=100,domain=-pi/6:pi/6, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/6:pi/2, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/2:5/6*pi, name path=D] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=5*pi/6:7*pi/6, name path=E] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=7*pi/6:3*pi/2, name path=F]
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=3*pi/2:11*pi/6, name path=G] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

fill [blue,intersection segments=of=A and B,
 sequence=A0 -- B1[reverse]];
fill [red,intersection segments=of=A and C,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and D,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and E,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and F,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and G,
 sequence=A1 -- B1[reverse]];

endtikzpicture

enddocument

share|improve this answer

answered 4 hours ago

marmot

63.5k468136

add a comment | 

up vote
2
down vote

up vote
2
down vote

You are loading but not really using the pgfplots library fillbetween. In order to achieve what you want, consider filling intersection sequences rather than the full paths. A is very long, and if you fill the full thing, the circle will be filled.

documentclassstandalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

draw [black, line width=1pt,samples=100,domain=0:2*pi, name path=A] 
plot (R*cos(x r), R*sin(x r));

draw [black, line width=1pt,samples=100,domain=-pi/6:pi/6, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/6:pi/2, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/2:5/6*pi, name path=D] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=5*pi/6:7*pi/6, name path=E] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=7*pi/6:3*pi/2, name path=F]
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=3*pi/2:11*pi/6, name path=G] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

fill [blue,intersection segments=of=A and B,
 sequence=A0 -- B1[reverse]];
fill [red,intersection segments=of=A and C,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and D,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and E,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and F,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and G,
 sequence=A1 -- B1[reverse]];

endtikzpicture

enddocument

share|improve this answer

answered 4 hours ago

marmot

63.5k468136

You are loading but not really using the pgfplots library fillbetween. In order to achieve what you want, consider filling intersection sequences rather than the full paths. A is very long, and if you fill the full thing, the circle will be filled.

documentclassstandalone
usepackagetikz
usepackagepgfplots
usetikzlibrarypatterns
pgfplotssetcompat=1.10
usepgfplotslibraryfillbetween
begindocument

begintikzpicture[scale=1]
defR1
defs0.2

draw [black, line width=1pt,samples=100,domain=0:2*pi, name path=A] 
plot (R*cos(x r), R*sin(x r));

draw [black, line width=1pt,samples=100,domain=-pi/6:pi/6, name path=B] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/6:pi/2, name path=C] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=pi/2:5/6*pi, name path=D] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=5*pi/6:7*pi/6, name path=E] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=7*pi/6:3*pi/2, name path=F]
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

draw [black, line width=1pt,samples=100,domain=3*pi/2:11*pi/6, name path=G] 
plot ((R + abs(s*cos(3*x r)))*cos(x r), (R + abs(s*cos(3*x r)))*sin(x r));

fill [blue,intersection segments=of=A and B,
 sequence=A0 -- B1[reverse]];
fill [red,intersection segments=of=A and C,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and D,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and E,
 sequence=A1 -- B1[reverse]];
fill [blue,intersection segments=of=A and F,
 sequence=A1 -- B1[reverse]];
fill [red,intersection segments=of=A and G,
 sequence=A1 -- B1[reverse]];

endtikzpicture

enddocument

share|improve this answer

answered 4 hours ago

marmot

63.5k468136

share|improve this answer

share|improve this answer

answered 4 hours ago

marmot

63.5k468136

answered 4 hours ago

marmot

63.5k468136

answered 4 hours ago

marmot

63.5k468136

63.5k468136

add a comment | 

add a comment | 

 

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