How to graph a hyperboloid of a leaf with intersections using tikzpicture environment

Clash Royale CLAN TAG#URR8PPP

up vote
4
down vote

favorite

I would like to plot S1: -(x-1)^2+y^2+z^2=1, x=1 and z=0 and their intersections using tikzpicture environment:

Using this post about the equation of the hyperboloid of a leaf I end up with two type of equations.

Let x^2/a^2 + y^2/b^2 - z^2/c^2 = 1.

• Parametric equation:
  
  
  • x=a*cosh(u)*cos(v)
  
  
  • y=b*cosh(u)*sin(v)
  
  
  • 
    z=c*sinh(u)
    
    
    • for any real u
      
    
    
    • for 0º <= v <= 360º
      
    
    
  
  


• Non-Hyperbolic equation:
  
  
  • x=a*sqrt(1+u*u)*cos(v)
  
  
  • y=b*sqrt(1+u*u)*sin(v)
  
  
  • 
    z=c*u
    
    
    • for any real u
      
    
    
    • for 0º <= v <= 360º
      
    
    
  
  

In our case, the first surface is a=b=c=1, but the - sign is in x-term, not z, so this is my first problem; I do not know how to change the order. Also note that S1 is moved one unit on the x-axis.

The other plots are x=1 and z=0.

Also, if possible, I would like to draw the intersections of these surfaces, i.e. there are two:

• Intersection of S1 and y^2+z^2=1 gives the orange curve,


• Intersection of S1 and z=0 gives the green curve.

Also I think the view is view=13525 but you can propose other good view!

(Very) basic MWE (I do not know why S1 is of z-axis when it should be x-axis ???):

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = center,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false
 ]
 addplot3[surf, mesh/ordering=y varies,shader=interp,samples = 71,samples y=41,variable = u,variable y = v,domain =-360:360] ((1+u*u)^(1/2)*cos(v)+1,sqrt(1+u*u)*sin(v),u);
 endaxis
endtikzpicture
endcenter

enddocument

Please note the imperfection from z<=0:

Thanks!

tikz-pgf

share|improve this question

edited 3 hours ago

asked 3 hours ago

manooooh

7311213

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Some solutions that come to my mind: for the imperfections use domain=-360-something:360-something and for the x-axis just flip z parametric equation and x parametric equation.
  – manooooh
  3 hours ago
  
  

  
  
  
  

add a comment | 

up vote
4
down vote

favorite

I would like to plot S1: -(x-1)^2+y^2+z^2=1, x=1 and z=0 and their intersections using tikzpicture environment:

Using this post about the equation of the hyperboloid of a leaf I end up with two type of equations.

Let x^2/a^2 + y^2/b^2 - z^2/c^2 = 1.

• Parametric equation:
  
  
  • x=a*cosh(u)*cos(v)
  
  
  • y=b*cosh(u)*sin(v)
  
  
  • 
    z=c*sinh(u)
    
    
    • for any real u
      
    
    
    • for 0º <= v <= 360º
      
    
    
  
  


• Non-Hyperbolic equation:
  
  
  • x=a*sqrt(1+u*u)*cos(v)
  
  
  • y=b*sqrt(1+u*u)*sin(v)
  
  
  • 
    z=c*u
    
    
    • for any real u
      
    
    
    • for 0º <= v <= 360º
      
    
    
  
  

In our case, the first surface is a=b=c=1, but the - sign is in x-term, not z, so this is my first problem; I do not know how to change the order. Also note that S1 is moved one unit on the x-axis.

The other plots are x=1 and z=0.

Also, if possible, I would like to draw the intersections of these surfaces, i.e. there are two:

• Intersection of S1 and y^2+z^2=1 gives the orange curve,


• Intersection of S1 and z=0 gives the green curve.

Also I think the view is view=13525 but you can propose other good view!

(Very) basic MWE (I do not know why S1 is of z-axis when it should be x-axis ???):

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = center,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false
 ]
 addplot3[surf, mesh/ordering=y varies,shader=interp,samples = 71,samples y=41,variable = u,variable y = v,domain =-360:360] ((1+u*u)^(1/2)*cos(v)+1,sqrt(1+u*u)*sin(v),u);
 endaxis
endtikzpicture
endcenter

enddocument

Please note the imperfection from z<=0:

Thanks!

tikz-pgf

share|improve this question

edited 3 hours ago

asked 3 hours ago

manooooh

7311213

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Some solutions that come to my mind: for the imperfections use domain=-360-something:360-something and for the x-axis just flip z parametric equation and x parametric equation.
  – manooooh
  3 hours ago
  
  

  
  
  
  

add a comment | 

up vote
4
down vote

favorite

up vote
4
down vote

favorite

I would like to plot S1: -(x-1)^2+y^2+z^2=1, x=1 and z=0 and their intersections using tikzpicture environment:

Using this post about the equation of the hyperboloid of a leaf I end up with two type of equations.

Let x^2/a^2 + y^2/b^2 - z^2/c^2 = 1.

• Parametric equation:
  
  
  • x=a*cosh(u)*cos(v)
  
  
  • y=b*cosh(u)*sin(v)
  
  
  • 
    z=c*sinh(u)
    
    
    • for any real u
      
    
    
    • for 0º <= v <= 360º
      
    
    
  
  


• Non-Hyperbolic equation:
  
  
  • x=a*sqrt(1+u*u)*cos(v)
  
  
  • y=b*sqrt(1+u*u)*sin(v)
  
  
  • 
    z=c*u
    
    
    • for any real u
      
    
    
    • for 0º <= v <= 360º
      
    
    
  
  

In our case, the first surface is a=b=c=1, but the - sign is in x-term, not z, so this is my first problem; I do not know how to change the order. Also note that S1 is moved one unit on the x-axis.

The other plots are x=1 and z=0.

Also, if possible, I would like to draw the intersections of these surfaces, i.e. there are two:

• Intersection of S1 and y^2+z^2=1 gives the orange curve,


• Intersection of S1 and z=0 gives the green curve.

Also I think the view is view=13525 but you can propose other good view!

(Very) basic MWE (I do not know why S1 is of z-axis when it should be x-axis ???):

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = center,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false
 ]
 addplot3[surf, mesh/ordering=y varies,shader=interp,samples = 71,samples y=41,variable = u,variable y = v,domain =-360:360] ((1+u*u)^(1/2)*cos(v)+1,sqrt(1+u*u)*sin(v),u);
 endaxis
endtikzpicture
endcenter

enddocument

Please note the imperfection from z<=0:

Thanks!

tikz-pgf

share|improve this question

edited 3 hours ago

asked 3 hours ago

manooooh

7311213

I would like to plot S1: -(x-1)^2+y^2+z^2=1, x=1 and z=0 and their intersections using tikzpicture environment:

Using this post about the equation of the hyperboloid of a leaf I end up with two type of equations.

Let x^2/a^2 + y^2/b^2 - z^2/c^2 = 1.

• Parametric equation:
  
  
  • x=a*cosh(u)*cos(v)
  
  
  • y=b*cosh(u)*sin(v)
  
  
  • 
    z=c*sinh(u)
    
    
    • for any real u
      
    
    
    • for 0º <= v <= 360º
      
    
    
  
  


• Non-Hyperbolic equation:
  
  
  • x=a*sqrt(1+u*u)*cos(v)
  
  
  • y=b*sqrt(1+u*u)*sin(v)
  
  
  • 
    z=c*u
    
    
    • for any real u
      
    
    
    • for 0º <= v <= 360º
      
    
    
  
  

In our case, the first surface is a=b=c=1, but the - sign is in x-term, not z, so this is my first problem; I do not know how to change the order. Also note that S1 is moved one unit on the x-axis.

The other plots are x=1 and z=0.

Also, if possible, I would like to draw the intersections of these surfaces, i.e. there are two:

• Intersection of S1 and y^2+z^2=1 gives the orange curve,


• Intersection of S1 and z=0 gives the green curve.

Also I think the view is view=13525 but you can propose other good view!

(Very) basic MWE (I do not know why S1 is of z-axis when it should be x-axis ???):

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = center,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false
 ]
 addplot3[surf, mesh/ordering=y varies,shader=interp,samples = 71,samples y=41,variable = u,variable y = v,domain =-360:360] ((1+u*u)^(1/2)*cos(v)+1,sqrt(1+u*u)*sin(v),u);
 endaxis
endtikzpicture
endcenter

enddocument

Please note the imperfection from z<=0:

Thanks!

tikz-pgf

tikz-pgf

share|improve this question

edited 3 hours ago

asked 3 hours ago

manooooh

7311213

share|improve this question

edited 3 hours ago

asked 3 hours ago

manooooh

7311213

share|improve this question

share|improve this question

edited 3 hours ago

edited 3 hours ago

edited 3 hours ago

asked 3 hours ago

manooooh

7311213

asked 3 hours ago

manooooh

7311213

asked 3 hours ago

manooooh

7311213

7311213

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Some solutions that come to my mind: for the imperfections use domain=-360-something:360-something and for the x-axis just flip z parametric equation and x parametric equation.
  – manooooh
  3 hours ago
  
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Some solutions that come to my mind: for the imperfections use domain=-360-something:360-something and for the x-axis just flip z parametric equation and x parametric equation.
  – manooooh
  3 hours ago
  
  

  
  
  
  

Some solutions that come to my mind: for the imperfections use domain=-360-something:360-something and for the x-axis just flip z parametric equation and x parametric equation.
– manooooh
3 hours ago

Some solutions that come to my mind: for the imperfections use domain=-360-something:360-something and for the x-axis just flip z parametric equation and x parametric equation.
– manooooh
3 hours ago

add a comment | 

1 Answer
1

active

oldest

votes

up vote
4
down vote

Something like this? (I think that the strange effect came from the domain -360:360. If you want to have more of a 3d feel, you need to decompose the hyperboloid anyway in pieces. This also fixes the domain problem.

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!60)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

For Raaja: one can try do do the shading by playing with point meta. Here's an example:

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!10)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false,
 point meta=z-abs(y)
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

share|improve this answer

edited 2 hours ago

answered 3 hours ago

marmot

73k477153

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I see some shadowing effects in the extremum locations in the OP's example which I miss here (But still a +1 from me).
  – Raaja
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  That's an excellent good start. Did you "delete" the y varies effect to show better the graph? Also, I would like to graph the two intesections for then add a legend to every plot.
  – manooooh
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @manooooh mesh/ordering=y varies, is still in, isn't it? And what do you mean by intersections?
  – marmot
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @Raaja Thanks! I added one possibility to add some shading. Clearly, there are more sophisticated options. This is just my first guess for an appropriate point meta.
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Y es I know that y varies is there but I mean that the plots don't have the colors from blue to red. By intersection I mean plot the two curves: a circle (in orange) and equilateral hyperbola (in green).
  – manooooh
  2 hours ago
  
  

  
  
  
  

 | 
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1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
4
down vote

Something like this? (I think that the strange effect came from the domain -360:360. If you want to have more of a 3d feel, you need to decompose the hyperboloid anyway in pieces. This also fixes the domain problem.

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!60)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

For Raaja: one can try do do the shading by playing with point meta. Here's an example:

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!10)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false,
 point meta=z-abs(y)
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

share|improve this answer

edited 2 hours ago

answered 3 hours ago

marmot

73k477153

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I see some shadowing effects in the extremum locations in the OP's example which I miss here (But still a +1 from me).
  – Raaja
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  That's an excellent good start. Did you "delete" the y varies effect to show better the graph? Also, I would like to graph the two intesections for then add a legend to every plot.
  – manooooh
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @manooooh mesh/ordering=y varies, is still in, isn't it? And what do you mean by intersections?
  – marmot
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @Raaja Thanks! I added one possibility to add some shading. Clearly, there are more sophisticated options. This is just my first guess for an appropriate point meta.
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Y es I know that y varies is there but I mean that the plots don't have the colors from blue to red. By intersection I mean plot the two curves: a circle (in orange) and equilateral hyperbola (in green).
  – manooooh
  2 hours ago
  
  

  
  
  
  

 | 
show 1 more comment

up vote
4
down vote

Something like this? (I think that the strange effect came from the domain -360:360. If you want to have more of a 3d feel, you need to decompose the hyperboloid anyway in pieces. This also fixes the domain problem.

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!60)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

For Raaja: one can try do do the shading by playing with point meta. Here's an example:

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!10)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false,
 point meta=z-abs(y)
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

share|improve this answer

edited 2 hours ago

answered 3 hours ago

marmot

73k477153

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I see some shadowing effects in the extremum locations in the OP's example which I miss here (But still a +1 from me).
  – Raaja
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  That's an excellent good start. Did you "delete" the y varies effect to show better the graph? Also, I would like to graph the two intesections for then add a legend to every plot.
  – manooooh
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @manooooh mesh/ordering=y varies, is still in, isn't it? And what do you mean by intersections?
  – marmot
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @Raaja Thanks! I added one possibility to add some shading. Clearly, there are more sophisticated options. This is just my first guess for an appropriate point meta.
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Y es I know that y varies is there but I mean that the plots don't have the colors from blue to red. By intersection I mean plot the two curves: a circle (in orange) and equilateral hyperbola (in green).
  – manooooh
  2 hours ago
  
  

  
  
  
  

 | 
show 1 more comment

up vote
4
down vote

up vote
4
down vote

Something like this? (I think that the strange effect came from the domain -360:360. If you want to have more of a 3d feel, you need to decompose the hyperboloid anyway in pieces. This also fixes the domain problem.

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!60)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

For Raaja: one can try do do the shading by playing with point meta. Here's an example:

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!10)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false,
 point meta=z-abs(y)
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

share|improve this answer

edited 2 hours ago

answered 3 hours ago

marmot

73k477153

Something like this? (I think that the strange effect came from the domain -360:360. If you want to have more of a 3d feel, you need to decompose the hyperboloid anyway in pieces. This also fixes the domain problem.

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!60)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

For Raaja: one can try do do the shading by playing with point meta. Here's an example:

documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc

usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetcolormap=cmcolor(0)=(red) color(1)=(red!90)
color(3)=(red!80) color(4)=(red!70) color(5)=(red!10)

begindocument

begincenter
begintikzpicture
 beginaxis[
 legend pos=outer north east,
 axis lines = middle,
 xticklabel style = font=tiny,
 yticklabel style = font=tiny,
 zticklabel style = font=tiny,
 xlabel = $x$,
 ylabel = $y$,
 zlabel = $z$,
 legend style=cells=align=left,
 legend cell align=left,
 view=13525,
 clip=false,
 point meta=z-abs(y)
 ]
 % lower back part
 addplot3[surf,mesh/ordering=y varies,shader=interp,opacity=0.7,
 samples=71,samples y=41,domain y=-180:00,domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: back
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (-4.5,-5,0) 
 -- (-4.5,5,0);
 %addplot3[surf,cyan,domain=-4.5:1,domain y=-5:5,opacity=0.5] 0;
 % vertical plane: lower part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,-5) 
 -- (1,5,-5);
 %addplot3[surf,cyan,domain=-4.5:0,domain y=-5:5,opacity=0.5] (1,y,x);
 % lower front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=-180:00,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % horizontal plane: front
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (5,-5,0) 
 -- (5,5,0);
 %addplot3[surf,cyan,domain=1:4.5,domain y=-5:5,opacity=0.5] 0;
 % upper back part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=-4:1]
 (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 % vertical plane: upper part
 fill[cyan,opacity=0.4] (1,5,0) -- (1,-5,0) -- (1,-5,5) 
 -- (1,5,5);
 %addplot3[surf,cyan,domain=0:4.5,domain y=-5:5,opacity=0.5] (1,y,x);
 % upper front part
 addplot3[surf,mesh/ordering=y varies,
 shader=interp,opacity=0.7,samples=71,samples y=41,domain y=0:180,
 domain=1:4] (x,sqrt(1+x*x)*cos(y),sqrt(1+x*x)*sin(y));
 endaxis
endtikzpicture
endcenter
enddocument

share|improve this answer

edited 2 hours ago

answered 3 hours ago

marmot

73k477153

share|improve this answer

share|improve this answer

edited 2 hours ago

edited 2 hours ago

edited 2 hours ago

answered 3 hours ago

marmot

73k477153

answered 3 hours ago

marmot

73k477153

answered 3 hours ago

marmot

73k477153

73k477153

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I see some shadowing effects in the extremum locations in the OP's example which I miss here (But still a +1 from me).
  – Raaja
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  That's an excellent good start. Did you "delete" the y varies effect to show better the graph? Also, I would like to graph the two intesections for then add a legend to every plot.
  – manooooh
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @manooooh mesh/ordering=y varies, is still in, isn't it? And what do you mean by intersections?
  – marmot
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @Raaja Thanks! I added one possibility to add some shading. Clearly, there are more sophisticated options. This is just my first guess for an appropriate point meta.
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Y es I know that y varies is there but I mean that the plots don't have the colors from blue to red. By intersection I mean plot the two curves: a circle (in orange) and equilateral hyperbola (in green).
  – manooooh
  2 hours ago
  
  

  
  
  
  

 | 
show 1 more comment

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I see some shadowing effects in the extremum locations in the OP's example which I miss here (But still a +1 from me).
  – Raaja
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  That's an excellent good start. Did you "delete" the y varies effect to show better the graph? Also, I would like to graph the two intesections for then add a legend to every plot.
  – manooooh
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @manooooh mesh/ordering=y varies, is still in, isn't it? And what do you mean by intersections?
  – marmot
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @Raaja Thanks! I added one possibility to add some shading. Clearly, there are more sophisticated options. This is just my first guess for an appropriate point meta.
  – marmot
  2 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Y es I know that y varies is there but I mean that the plots don't have the colors from blue to red. By intersection I mean plot the two curves: a circle (in orange) and equilateral hyperbola (in green).
  – manooooh
  2 hours ago
  
  

  
  
  
  

I see some shadowing effects in the extremum locations in the OP's example which I miss here (But still a +1 from me).
– Raaja
3 hours ago

I see some shadowing effects in the extremum locations in the OP's example which I miss here (But still a +1 from me).
– Raaja
3 hours ago

That's an excellent good start. Did you "delete" the y varies effect to show better the graph? Also, I would like to graph the two intesections for then add a legend to every plot.
– manooooh
3 hours ago

That's an excellent good start. Did you "delete" the y varies effect to show better the graph? Also, I would like to graph the two intesections for then add a legend to every plot.
– manooooh
3 hours ago

@manooooh mesh/ordering=y varies, is still in, isn't it? And what do you mean by intersections?
– marmot
3 hours ago

@manooooh mesh/ordering=y varies, is still in, isn't it? And what do you mean by intersections?
– marmot
3 hours ago

1

1

@Raaja Thanks! I added one possibility to add some shading. Clearly, there are more sophisticated options. This is just my first guess for an appropriate point meta.
– marmot
2 hours ago

@Raaja Thanks! I added one possibility to add some shading. Clearly, there are more sophisticated options. This is just my first guess for an appropriate point meta.
– marmot
2 hours ago

Y es I know that y varies is there but I mean that the plots don't have the colors from blue to red. By intersection I mean plot the two curves: a circle (in orange) and equilateral hyperbola (in green).
– manooooh
2 hours ago

Y es I know that y varies is there but I mean that the plots don't have the colors from blue to red. By intersection I mean plot the two curves: a circle (in orange) and equilateral hyperbola (in green).
– manooooh
2 hours ago

 | 
show 1 more comment

 

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