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How can one draw a segment of a sphere with TikZ?

0

I am trying to replace the black plan with a segment of a sphere using tikz :

The sphere would be of centre H(Yi) and radius ||H(Yi) , H(Yi+1_0)|| on which will lie all the points from k=0 (green point) to k (blue point) (=> corresponding to an arc of a circle in the plan designated by the axis system in the upper left corner).

Any propositions using tikz to add a part of a sphere would be greatly appreciated. Thank you.

tikz-pgf

share|improve this question

edited 1 min ago

Yacola

asked 1 hour ago

YacolaYacola

63

New contributor

Yacola is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  
  welcome to tex.se! to my opinion your question (as is) is to broad and type do-it-for-me, so it will probably will be closed .... please show us, what you try so far.
  
  – Zarko
  1 hour ago
  
  
  

  
  
  
  

add a comment | 

0

I am trying to replace the black plan with a segment of a sphere using tikz :

The sphere would be of centre H(Yi) and radius ||H(Yi) , H(Yi+1_0)|| on which will lie all the points from k=0 (green point) to k (blue point) (=> corresponding to an arc of a circle in the plan designated by the axis system in the upper left corner).

Any propositions using tikz to add a part of a sphere would be greatly appreciated. Thank you.

tikz-pgf

share|improve this question

edited 1 min ago

Yacola

asked 1 hour ago

YacolaYacola

63

New contributor

Yacola is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  
  welcome to tex.se! to my opinion your question (as is) is to broad and type do-it-for-me, so it will probably will be closed .... please show us, what you try so far.
  
  – Zarko
  1 hour ago
  
  
  

  
  
  
  

add a comment | 

I am trying to replace the black plan with a segment of a sphere using tikz :

The sphere would be of centre H(Yi) and radius ||H(Yi) , H(Yi+1_0)|| on which will lie all the points from k=0 (green point) to k (blue point) (=> corresponding to an arc of a circle in the plan designated by the axis system in the upper left corner).

Any propositions using tikz to add a part of a sphere would be greatly appreciated. Thank you.

tikz-pgf

share|improve this question

edited 1 min ago

Yacola

asked 1 hour ago

YacolaYacola

63

New contributor

Yacola is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|improve this question

edited 1 min ago

Yacola

asked 1 hour ago

YacolaYacola

63

New contributor

Yacola is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|improve this question

edited 1 min ago

Yacola

asked 1 hour ago

YacolaYacola

63

New contributor

Yacola is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 1 hour ago

YacolaYacola

63

New contributor

Yacola is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 1 hour ago

YacolaYacola

63

1 Answer
1

active

oldest

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1

The purpose of this post is to define a style that draws a part of a sphere. More specifically, it will draw a segment in which the latitude and longitude are in a certain range. Drawing this segment is then as simple as saying

draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}];

where phi and theta are the longitude and latitude parameters.

documentclass[tikz,border=3.14mm]{standalone} 

usepackage{tikz-3dplot} 

usetikzlibrary{3d} 

begin{document} 

tdplotsetmaincoords{70}{30} 

begin{tikzpicture}[tdplot_main_coords,bullet/.style={fill,circle,inner

sep=1pt},sphere segment/.style args={%

phi from #1 to #2 and theta from #3 to #4 and radius #5}{insert path={%

 plot[variable=x,smooth,domain=#2:#1] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#3)

 -- plot[variable=x,smooth,domain=#3:#4] 

 (xyz spherical cs:radius=#5,longitude=#1,latitude=x)

 --plot[variable=x,smooth,domain=#1:#2] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#4)

 -- plot[variable=x,smooth,domain=#4:#3] 

 (xyz spherical cs:radius=#5,longitude=#2,latitude=x)}},

>=stealth,declare function={f(x)=exp(-2+0.5*x);}] 

 draw[thick] (0,0,0) -- (4,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=0:4] ({x},0,{f(x)});

 % note: this domain is an approximation, it should really be 

 % from 0 to xmax where xmax is the solution of x^2+f(x)^2=4^2

 draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}] ; 

 draw[thick,->] (4,0,0) -- (6,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=4:6] ({x},0,{f(x)});

 % should be xmax:6

end{tikzpicture}

end{document}

share|improve this answer

edited 9 mins ago

answered 1 hour ago

marmotmarmot

113k5145274

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thanks for your answer @marmot, I should have just ask it with MWE in the first time, that wasn't intended to be the whole picture but more like what you just did, my bad...
  
  – Yacola
  50 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Yacola No worries and glad to hear that this goes in the right direction.
  
  – marmot
  38 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  One last question : can you give me a hint on how to do it with a part of a sphere instead of the plan?
  
  – Yacola
  31 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I think that I am looking for a parametric plot that will replace the plan by a surface corresponding to a part of a sphere which center is where black line and orange curve cross. I'll try to look at more general spherical plots.
  
  – Yacola
  21 mins ago
  
  
  

  
  
  
  

add a comment | 

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1

The purpose of this post is to define a style that draws a part of a sphere. More specifically, it will draw a segment in which the latitude and longitude are in a certain range. Drawing this segment is then as simple as saying

draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}];

where phi and theta are the longitude and latitude parameters.

documentclass[tikz,border=3.14mm]{standalone} 

usepackage{tikz-3dplot} 

usetikzlibrary{3d} 

begin{document} 

tdplotsetmaincoords{70}{30} 

begin{tikzpicture}[tdplot_main_coords,bullet/.style={fill,circle,inner

sep=1pt},sphere segment/.style args={%

phi from #1 to #2 and theta from #3 to #4 and radius #5}{insert path={%

 plot[variable=x,smooth,domain=#2:#1] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#3)

 -- plot[variable=x,smooth,domain=#3:#4] 

 (xyz spherical cs:radius=#5,longitude=#1,latitude=x)

 --plot[variable=x,smooth,domain=#1:#2] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#4)

 -- plot[variable=x,smooth,domain=#4:#3] 

 (xyz spherical cs:radius=#5,longitude=#2,latitude=x)}},

>=stealth,declare function={f(x)=exp(-2+0.5*x);}] 

 draw[thick] (0,0,0) -- (4,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=0:4] ({x},0,{f(x)});

 % note: this domain is an approximation, it should really be 

 % from 0 to xmax where xmax is the solution of x^2+f(x)^2=4^2

 draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}] ; 

 draw[thick,->] (4,0,0) -- (6,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=4:6] ({x},0,{f(x)});

 % should be xmax:6

end{tikzpicture}

end{document}

share|improve this answer

edited 9 mins ago

answered 1 hour ago

marmotmarmot

113k5145274

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thanks for your answer @marmot, I should have just ask it with MWE in the first time, that wasn't intended to be the whole picture but more like what you just did, my bad...
  
  – Yacola
  50 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Yacola No worries and glad to hear that this goes in the right direction.
  
  – marmot
  38 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  One last question : can you give me a hint on how to do it with a part of a sphere instead of the plan?
  
  – Yacola
  31 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I think that I am looking for a parametric plot that will replace the plan by a surface corresponding to a part of a sphere which center is where black line and orange curve cross. I'll try to look at more general spherical plots.
  
  – Yacola
  21 mins ago
  
  
  

  
  
  
  

add a comment | 

1

The purpose of this post is to define a style that draws a part of a sphere. More specifically, it will draw a segment in which the latitude and longitude are in a certain range. Drawing this segment is then as simple as saying

draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}];

where phi and theta are the longitude and latitude parameters.

documentclass[tikz,border=3.14mm]{standalone} 

usepackage{tikz-3dplot} 

usetikzlibrary{3d} 

begin{document} 

tdplotsetmaincoords{70}{30} 

begin{tikzpicture}[tdplot_main_coords,bullet/.style={fill,circle,inner

sep=1pt},sphere segment/.style args={%

phi from #1 to #2 and theta from #3 to #4 and radius #5}{insert path={%

 plot[variable=x,smooth,domain=#2:#1] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#3)

 -- plot[variable=x,smooth,domain=#3:#4] 

 (xyz spherical cs:radius=#5,longitude=#1,latitude=x)

 --plot[variable=x,smooth,domain=#1:#2] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#4)

 -- plot[variable=x,smooth,domain=#4:#3] 

 (xyz spherical cs:radius=#5,longitude=#2,latitude=x)}},

>=stealth,declare function={f(x)=exp(-2+0.5*x);}] 

 draw[thick] (0,0,0) -- (4,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=0:4] ({x},0,{f(x)});

 % note: this domain is an approximation, it should really be 

 % from 0 to xmax where xmax is the solution of x^2+f(x)^2=4^2

 draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}] ; 

 draw[thick,->] (4,0,0) -- (6,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=4:6] ({x},0,{f(x)});

 % should be xmax:6

end{tikzpicture}

end{document}

share|improve this answer

edited 9 mins ago

answered 1 hour ago

marmotmarmot

113k5145274

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thanks for your answer @marmot, I should have just ask it with MWE in the first time, that wasn't intended to be the whole picture but more like what you just did, my bad...
  
  – Yacola
  50 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Yacola No worries and glad to hear that this goes in the right direction.
  
  – marmot
  38 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  One last question : can you give me a hint on how to do it with a part of a sphere instead of the plan?
  
  – Yacola
  31 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I think that I am looking for a parametric plot that will replace the plan by a surface corresponding to a part of a sphere which center is where black line and orange curve cross. I'll try to look at more general spherical plots.
  
  – Yacola
  21 mins ago
  
  
  

  
  
  
  

add a comment | 

The purpose of this post is to define a style that draws a part of a sphere. More specifically, it will draw a segment in which the latitude and longitude are in a certain range. Drawing this segment is then as simple as saying

draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}];

where phi and theta are the longitude and latitude parameters.

documentclass[tikz,border=3.14mm]{standalone} 

usepackage{tikz-3dplot} 

usetikzlibrary{3d} 

begin{document} 

tdplotsetmaincoords{70}{30} 

begin{tikzpicture}[tdplot_main_coords,bullet/.style={fill,circle,inner

sep=1pt},sphere segment/.style args={%

phi from #1 to #2 and theta from #3 to #4 and radius #5}{insert path={%

 plot[variable=x,smooth,domain=#2:#1] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#3)

 -- plot[variable=x,smooth,domain=#3:#4] 

 (xyz spherical cs:radius=#5,longitude=#1,latitude=x)

 --plot[variable=x,smooth,domain=#1:#2] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#4)

 -- plot[variable=x,smooth,domain=#4:#3] 

 (xyz spherical cs:radius=#5,longitude=#2,latitude=x)}},

>=stealth,declare function={f(x)=exp(-2+0.5*x);}] 

 draw[thick] (0,0,0) -- (4,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=0:4] ({x},0,{f(x)});

 % note: this domain is an approximation, it should really be 

 % from 0 to xmax where xmax is the solution of x^2+f(x)^2=4^2

 draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}] ; 

 draw[thick,->] (4,0,0) -- (6,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=4:6] ({x},0,{f(x)});

 % should be xmax:6

end{tikzpicture}

end{document}

share|improve this answer

edited 9 mins ago

answered 1 hour ago

marmotmarmot

113k5145274

draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}];

documentclass[tikz,border=3.14mm]{standalone} 

usepackage{tikz-3dplot} 

usetikzlibrary{3d} 

begin{document} 

tdplotsetmaincoords{70}{30} 

begin{tikzpicture}[tdplot_main_coords,bullet/.style={fill,circle,inner

sep=1pt},sphere segment/.style args={%

phi from #1 to #2 and theta from #3 to #4 and radius #5}{insert path={%

 plot[variable=x,smooth,domain=#2:#1] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#3)

 -- plot[variable=x,smooth,domain=#3:#4] 

 (xyz spherical cs:radius=#5,longitude=#1,latitude=x)

 --plot[variable=x,smooth,domain=#1:#2] 

 (xyz spherical cs:radius=#5,longitude=x,latitude=#4)

 -- plot[variable=x,smooth,domain=#4:#3] 

 (xyz spherical cs:radius=#5,longitude=#2,latitude=x)}},

>=stealth,declare function={f(x)=exp(-2+0.5*x);}] 

 draw[thick] (0,0,0) -- (4,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=0:4] ({x},0,{f(x)});

 % note: this domain is an approximation, it should really be 

 % from 0 to xmax where xmax is the solution of x^2+f(x)^2=4^2

 draw[thin,fill=white,fill opacity=0.6,

 sphere segment={phi from 60 to 120 and theta from -10 to 50 and radius 4}] ; 

 draw[thick,->] (4,0,0) -- (6,0,0);

 draw[thick,orange] plot[variable=x,smooth,domain=4:6] ({x},0,{f(x)});

 % should be xmax:6

end{tikzpicture}

end{document}

share|improve this answer

edited 9 mins ago

answered 1 hour ago

marmotmarmot

113k5145274

answered 1 hour ago

marmotmarmot

113k5145274

answered 1 hour ago

marmotmarmot

113k5145274