Plotting an identity accross a surface in Tikz

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2
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I want to draw an identity across a surface plot. This identity should start at the bottom left, and end at the top right (from tip to tip). With the axis I've given (see below), the v_1=2(v_2-20). This becomes y=2(x-20) given the way the axes are defined. I've tried plotting this in various ways, but it does not seem to work on top of the 3d surface.



beginfigure[h]
begintikzpicture[scale=2]
beginaxis[
 title=secret research, 
 xlabel=$v_2$, ylabel=$v_1$,
 small,
 x dir=reverse
]
addplot3[
 surf,
 domain=0:20,
 domain y=0:10,
] 
 ((y^2/(0.5*(x+y))/20);
endaxis
endtikzpicture


enter image description here






tikz-pgf pgfplots







share|improve this question





















  • I am sorry, I do not understand the question. Could you please make more explicit what you mean? What does "This becomes y=2(x-20) given the way the axes are defined. " mean? Do you just want to plot (x,2*(x-20))? But this is a 3d plot.
    – marmot
    1 hour ago











  • @marmot Sorry for it being unclear. I would like to plot the identity that maps across the surface diagonally from v_2=20 to v_1=10. This would be a single function, not a surface, as it is defined at one particular intersection of the v_2 and v_1 axes.
    – pafnuti
    50 mins ago











  • You want a one-dimensional plot, i.e a line, then? At which z-value should this line be? Should it really be v_1=2(v_2-20), i.e. at v_1=0 v_2 will be -40, ie. far off from the surface?
    – marmot
    40 mins ago











  • @marmot Yes one-dimensional, at the z-value of the surface.
    – pafnuti
    35 mins ago






  • 2




    OK, I added something. Notice that I will be out of touch for ca. 1h, but be happy to adjust things afterwards, in case there is something to adjust and no one else did it.
    – marmot
    32 mins ago














up vote
2
down vote

favorite












I want to draw an identity across a surface plot. This identity should start at the bottom left, and end at the top right (from tip to tip). With the axis I've given (see below), the v_1=2(v_2-20). This becomes y=2(x-20) given the way the axes are defined. I've tried plotting this in various ways, but it does not seem to work on top of the 3d surface.



beginfigure[h]
begintikzpicture[scale=2]
beginaxis[
 title=secret research, 
 xlabel=$v_2$, ylabel=$v_1$,
 small,
 x dir=reverse
]
addplot3[
 surf,
 domain=0:20,
 domain y=0:10,
] 
 ((y^2/(0.5*(x+y))/20);
endaxis
endtikzpicture


enter image description here






tikz-pgf pgfplots







share|improve this question





















  • I am sorry, I do not understand the question. Could you please make more explicit what you mean? What does "This becomes y=2(x-20) given the way the axes are defined. " mean? Do you just want to plot (x,2*(x-20))? But this is a 3d plot.
    – marmot
    1 hour ago











  • @marmot Sorry for it being unclear. I would like to plot the identity that maps across the surface diagonally from v_2=20 to v_1=10. This would be a single function, not a surface, as it is defined at one particular intersection of the v_2 and v_1 axes.
    – pafnuti
    50 mins ago











  • You want a one-dimensional plot, i.e a line, then? At which z-value should this line be? Should it really be v_1=2(v_2-20), i.e. at v_1=0 v_2 will be -40, ie. far off from the surface?
    – marmot
    40 mins ago











  • @marmot Yes one-dimensional, at the z-value of the surface.
    – pafnuti
    35 mins ago






  • 2




    OK, I added something. Notice that I will be out of touch for ca. 1h, but be happy to adjust things afterwards, in case there is something to adjust and no one else did it.
    – marmot
    32 mins ago












up vote
2
down vote

favorite









up vote
2
down vote

favorite











I want to draw an identity across a surface plot. This identity should start at the bottom left, and end at the top right (from tip to tip). With the axis I've given (see below), the v_1=2(v_2-20). This becomes y=2(x-20) given the way the axes are defined. I've tried plotting this in various ways, but it does not seem to work on top of the 3d surface.



beginfigure[h]
begintikzpicture[scale=2]
beginaxis[
 title=secret research, 
 xlabel=$v_2$, ylabel=$v_1$,
 small,
 x dir=reverse
]
addplot3[
 surf,
 domain=0:20,
 domain y=0:10,
] 
 ((y^2/(0.5*(x+y))/20);
endaxis
endtikzpicture


enter image description here






tikz-pgf pgfplots







share|improve this question













I want to draw an identity across a surface plot. This identity should start at the bottom left, and end at the top right (from tip to tip). With the axis I've given (see below), the v_1=2(v_2-20). This becomes y=2(x-20) given the way the axes are defined. I've tried plotting this in various ways, but it does not seem to work on top of the 3d surface.



beginfigure[h]
begintikzpicture[scale=2]
beginaxis[
 title=secret research, 
 xlabel=$v_2$, ylabel=$v_1$,
 small,
 x dir=reverse
]
addplot3[
 surf,
 domain=0:20,
 domain y=0:10,
] 
 ((y^2/(0.5*(x+y))/20);
endaxis
endtikzpicture


enter image description here






tikz-pgf pgfplots




tikz-pgf pgfplots






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked 1 hour ago









pafnuti

2467




2467











  • I am sorry, I do not understand the question. Could you please make more explicit what you mean? What does "This becomes y=2(x-20) given the way the axes are defined. " mean? Do you just want to plot (x,2*(x-20))? But this is a 3d plot.
    – marmot
    1 hour ago











  • @marmot Sorry for it being unclear. I would like to plot the identity that maps across the surface diagonally from v_2=20 to v_1=10. This would be a single function, not a surface, as it is defined at one particular intersection of the v_2 and v_1 axes.
    – pafnuti
    50 mins ago











  • You want a one-dimensional plot, i.e a line, then? At which z-value should this line be? Should it really be v_1=2(v_2-20), i.e. at v_1=0 v_2 will be -40, ie. far off from the surface?
    – marmot
    40 mins ago











  • @marmot Yes one-dimensional, at the z-value of the surface.
    – pafnuti
    35 mins ago






  • 2




    OK, I added something. Notice that I will be out of touch for ca. 1h, but be happy to adjust things afterwards, in case there is something to adjust and no one else did it.
    – marmot
    32 mins ago
















  • I am sorry, I do not understand the question. Could you please make more explicit what you mean? What does "This becomes y=2(x-20) given the way the axes are defined. " mean? Do you just want to plot (x,2*(x-20))? But this is a 3d plot.
    – marmot
    1 hour ago











  • @marmot Sorry for it being unclear. I would like to plot the identity that maps across the surface diagonally from v_2=20 to v_1=10. This would be a single function, not a surface, as it is defined at one particular intersection of the v_2 and v_1 axes.
    – pafnuti
    50 mins ago











  • You want a one-dimensional plot, i.e a line, then? At which z-value should this line be? Should it really be v_1=2(v_2-20), i.e. at v_1=0 v_2 will be -40, ie. far off from the surface?
    – marmot
    40 mins ago











  • @marmot Yes one-dimensional, at the z-value of the surface.
    – pafnuti
    35 mins ago






  • 2




    OK, I added something. Notice that I will be out of touch for ca. 1h, but be happy to adjust things afterwards, in case there is something to adjust and no one else did it.
    – marmot
    32 mins ago















I am sorry, I do not understand the question. Could you please make more explicit what you mean? What does "This becomes y=2(x-20) given the way the axes are defined. " mean? Do you just want to plot (x,2*(x-20))? But this is a 3d plot.
– marmot
1 hour ago





I am sorry, I do not understand the question. Could you please make more explicit what you mean? What does "This becomes y=2(x-20) given the way the axes are defined. " mean? Do you just want to plot (x,2*(x-20))? But this is a 3d plot.
– marmot
1 hour ago













@marmot Sorry for it being unclear. I would like to plot the identity that maps across the surface diagonally from v_2=20 to v_1=10. This would be a single function, not a surface, as it is defined at one particular intersection of the v_2 and v_1 axes.
– pafnuti
50 mins ago





@marmot Sorry for it being unclear. I would like to plot the identity that maps across the surface diagonally from v_2=20 to v_1=10. This would be a single function, not a surface, as it is defined at one particular intersection of the v_2 and v_1 axes.
– pafnuti
50 mins ago













You want a one-dimensional plot, i.e a line, then? At which z-value should this line be? Should it really be v_1=2(v_2-20), i.e. at v_1=0 v_2 will be -40, ie. far off from the surface?
– marmot
40 mins ago





You want a one-dimensional plot, i.e a line, then? At which z-value should this line be? Should it really be v_1=2(v_2-20), i.e. at v_1=0 v_2 will be -40, ie. far off from the surface?
– marmot
40 mins ago













@marmot Yes one-dimensional, at the z-value of the surface.
– pafnuti
35 mins ago




@marmot Yes one-dimensional, at the z-value of the surface.
– pafnuti
35 mins ago




2




2




OK, I added something. Notice that I will be out of touch for ca. 1h, but be happy to adjust things afterwards, in case there is something to adjust and no one else did it.
– marmot
32 mins ago




OK, I added something. Notice that I will be out of touch for ca. 1h, but be happy to adjust things afterwards, in case there is something to adjust and no one else did it.
– marmot
32 mins ago










1 Answer
1






active

oldest

votes

















up vote
6
down vote



accepted










I hope I guess correctly.



documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[scale=2,declare function=f(x,y)=((y*y/(0.5*(x+y))/20);]
beginaxis[
 title=secret research, 
 xlabel=$v_2$, ylabel=$v_1$,
 small,
 x dir=reverse
]
addplot3[
 surf,
 domain=0:20,
 domain y=0:10,
] 
 (f(x,y);
addplot3[mesh,domain=0:10,point meta=0] (2*x,x, (f(2*x,x));
addplot3[mesh,domain=0:10,point meta=0.5] (2*(10-x),x, (f(2*(10-x),x));
endaxis
endtikzpicture
enddocument


enter image description here






share|improve this answer






















  • That's exactly what I want, but from the left-most point at (v_1=0,v_2=20,z=0) to the rightmost (v_1=10,v_2=0, z approx 1). Will change it myself :)
    – pafnuti
    30 mins ago











  • @pafnuti I add that one. There is one potential piftfall: you need to use mesh since otherwise there will be a closed cycle.
    – marmot
    27 mins 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
6
down vote



accepted










I hope I guess correctly.



documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[scale=2,declare function=f(x,y)=((y*y/(0.5*(x+y))/20);]
beginaxis[
 title=secret research, 
 xlabel=$v_2$, ylabel=$v_1$,
 small,
 x dir=reverse
]
addplot3[
 surf,
 domain=0:20,
 domain y=0:10,
] 
 (f(x,y);
addplot3[mesh,domain=0:10,point meta=0] (2*x,x, (f(2*x,x));
addplot3[mesh,domain=0:10,point meta=0.5] (2*(10-x),x, (f(2*(10-x),x));
endaxis
endtikzpicture
enddocument


enter image description here






share|improve this answer






















  • That's exactly what I want, but from the left-most point at (v_1=0,v_2=20,z=0) to the rightmost (v_1=10,v_2=0, z approx 1). Will change it myself :)
    – pafnuti
    30 mins ago











  • @pafnuti I add that one. There is one potential piftfall: you need to use mesh since otherwise there will be a closed cycle.
    – marmot
    27 mins ago














up vote
6
down vote



accepted










I hope I guess correctly.



documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[scale=2,declare function=f(x,y)=((y*y/(0.5*(x+y))/20);]
beginaxis[
 title=secret research, 
 xlabel=$v_2$, ylabel=$v_1$,
 small,
 x dir=reverse
]
addplot3[
 surf,
 domain=0:20,
 domain y=0:10,
] 
 (f(x,y);
addplot3[mesh,domain=0:10,point meta=0] (2*x,x, (f(2*x,x));
addplot3[mesh,domain=0:10,point meta=0.5] (2*(10-x),x, (f(2*(10-x),x));
endaxis
endtikzpicture
enddocument


enter image description here






share|improve this answer






















  • That's exactly what I want, but from the left-most point at (v_1=0,v_2=20,z=0) to the rightmost (v_1=10,v_2=0, z approx 1). Will change it myself :)
    – pafnuti
    30 mins ago











  • @pafnuti I add that one. There is one potential piftfall: you need to use mesh since otherwise there will be a closed cycle.
    – marmot
    27 mins ago












up vote
6
down vote



accepted







up vote
6
down vote



accepted






I hope I guess correctly.



documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[scale=2,declare function=f(x,y)=((y*y/(0.5*(x+y))/20);]
beginaxis[
 title=secret research, 
 xlabel=$v_2$, ylabel=$v_1$,
 small,
 x dir=reverse
]
addplot3[
 surf,
 domain=0:20,
 domain y=0:10,
] 
 (f(x,y);
addplot3[mesh,domain=0:10,point meta=0] (2*x,x, (f(2*x,x));
addplot3[mesh,domain=0:10,point meta=0.5] (2*(10-x),x, (f(2*(10-x),x));
endaxis
endtikzpicture
enddocument


enter image description here






share|improve this answer














I hope I guess correctly.



documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[scale=2,declare function=f(x,y)=((y*y/(0.5*(x+y))/20);]
beginaxis[
 title=secret research, 
 xlabel=$v_2$, ylabel=$v_1$,
 small,
 x dir=reverse
]
addplot3[
 surf,
 domain=0:20,
 domain y=0:10,
] 
 (f(x,y);
addplot3[mesh,domain=0:10,point meta=0] (2*x,x, (f(2*x,x));
addplot3[mesh,domain=0:10,point meta=0.5] (2*(10-x),x, (f(2*(10-x),x));
endaxis
endtikzpicture
enddocument


enter image description here







share|improve this answer














share|improve this answer



share|improve this answer








edited 28 mins ago

























answered 33 mins ago









marmot

57.4k462124




57.4k462124











  • That's exactly what I want, but from the left-most point at (v_1=0,v_2=20,z=0) to the rightmost (v_1=10,v_2=0, z approx 1). Will change it myself :)
    – pafnuti
    30 mins ago











  • @pafnuti I add that one. There is one potential piftfall: you need to use mesh since otherwise there will be a closed cycle.
    – marmot
    27 mins ago
















  • That's exactly what I want, but from the left-most point at (v_1=0,v_2=20,z=0) to the rightmost (v_1=10,v_2=0, z approx 1). Will change it myself :)
    – pafnuti
    30 mins ago











  • @pafnuti I add that one. There is one potential piftfall: you need to use mesh since otherwise there will be a closed cycle.
    – marmot
    27 mins ago















That's exactly what I want, but from the left-most point at (v_1=0,v_2=20,z=0) to the rightmost (v_1=10,v_2=0, z approx 1). Will change it myself :)
– pafnuti
30 mins ago





That's exactly what I want, but from the left-most point at (v_1=0,v_2=20,z=0) to the rightmost (v_1=10,v_2=0, z approx 1). Will change it myself :)
– pafnuti
30 mins ago













@pafnuti I add that one. There is one potential piftfall: you need to use mesh since otherwise there will be a closed cycle.
– marmot
27 mins ago




@pafnuti I add that one. There is one potential piftfall: you need to use mesh since otherwise there will be a closed cycle.
– marmot
27 mins ago

















 

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