Function for this 3D curve











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I am trying to plot a 3D surface like the picture below to help depict the relationship between some variables. I have been fiddling with Google Search builtin plotter, trying different equations, but I do not have the knowledge to progress in this issue. I could go on trying random combinations of operators, but I thought maybe you could help...



The 3D surface should be something like this:



enter image description here



This is as far as I have got: $sqrt{frac {1}{cos x + sin y}}$, but I am sure there is a better way!



Can I have your help? Thank you very much.










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  • To be clear, you are asking what is the equation to the surface you have drawn?
    – R_D
    Jan 13 '16 at 16:10










  • Try $x + y + z + a (x y + y z + z x) = 1$ for some $a>0$.
    – Rahul
    Jan 13 '16 at 16:24










  • Hi @Rise, yes, that's what I am asking. Rahul, I plotted your suggestion in Wolfram Alpha but maybe I am doing it wrong?
    – Jaime RGP
    Jan 13 '16 at 17:03















up vote
0
down vote

favorite












I am trying to plot a 3D surface like the picture below to help depict the relationship between some variables. I have been fiddling with Google Search builtin plotter, trying different equations, but I do not have the knowledge to progress in this issue. I could go on trying random combinations of operators, but I thought maybe you could help...



The 3D surface should be something like this:



enter image description here



This is as far as I have got: $sqrt{frac {1}{cos x + sin y}}$, but I am sure there is a better way!



Can I have your help? Thank you very much.










share|cite|improve this question
























  • To be clear, you are asking what is the equation to the surface you have drawn?
    – R_D
    Jan 13 '16 at 16:10










  • Try $x + y + z + a (x y + y z + z x) = 1$ for some $a>0$.
    – Rahul
    Jan 13 '16 at 16:24










  • Hi @Rise, yes, that's what I am asking. Rahul, I plotted your suggestion in Wolfram Alpha but maybe I am doing it wrong?
    – Jaime RGP
    Jan 13 '16 at 17:03













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I am trying to plot a 3D surface like the picture below to help depict the relationship between some variables. I have been fiddling with Google Search builtin plotter, trying different equations, but I do not have the knowledge to progress in this issue. I could go on trying random combinations of operators, but I thought maybe you could help...



The 3D surface should be something like this:



enter image description here



This is as far as I have got: $sqrt{frac {1}{cos x + sin y}}$, but I am sure there is a better way!



Can I have your help? Thank you very much.










share|cite|improve this question















I am trying to plot a 3D surface like the picture below to help depict the relationship between some variables. I have been fiddling with Google Search builtin plotter, trying different equations, but I do not have the knowledge to progress in this issue. I could go on trying random combinations of operators, but I thought maybe you could help...



The 3D surface should be something like this:



enter image description here



This is as far as I have got: $sqrt{frac {1}{cos x + sin y}}$, but I am sure there is a better way!



Can I have your help? Thank you very much.







graphing-functions






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edited Nov 24 at 0:42









Robert Howard

1,9101822




1,9101822










asked Jan 13 '16 at 16:01









Jaime RGP

1




1












  • To be clear, you are asking what is the equation to the surface you have drawn?
    – R_D
    Jan 13 '16 at 16:10










  • Try $x + y + z + a (x y + y z + z x) = 1$ for some $a>0$.
    – Rahul
    Jan 13 '16 at 16:24










  • Hi @Rise, yes, that's what I am asking. Rahul, I plotted your suggestion in Wolfram Alpha but maybe I am doing it wrong?
    – Jaime RGP
    Jan 13 '16 at 17:03


















  • To be clear, you are asking what is the equation to the surface you have drawn?
    – R_D
    Jan 13 '16 at 16:10










  • Try $x + y + z + a (x y + y z + z x) = 1$ for some $a>0$.
    – Rahul
    Jan 13 '16 at 16:24










  • Hi @Rise, yes, that's what I am asking. Rahul, I plotted your suggestion in Wolfram Alpha but maybe I am doing it wrong?
    – Jaime RGP
    Jan 13 '16 at 17:03
















To be clear, you are asking what is the equation to the surface you have drawn?
– R_D
Jan 13 '16 at 16:10




To be clear, you are asking what is the equation to the surface you have drawn?
– R_D
Jan 13 '16 at 16:10












Try $x + y + z + a (x y + y z + z x) = 1$ for some $a>0$.
– Rahul
Jan 13 '16 at 16:24




Try $x + y + z + a (x y + y z + z x) = 1$ for some $a>0$.
– Rahul
Jan 13 '16 at 16:24












Hi @Rise, yes, that's what I am asking. Rahul, I plotted your suggestion in Wolfram Alpha but maybe I am doing it wrong?
– Jaime RGP
Jan 13 '16 at 17:03




Hi @Rise, yes, that's what I am asking. Rahul, I plotted your suggestion in Wolfram Alpha but maybe I am doing it wrong?
– Jaime RGP
Jan 13 '16 at 17:03










1 Answer
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Rahul was right; that looks like exactly the right kind of equation. Unfortunately, Wolfram seems to be plotting it in a very unhelpful orientation. Check out grapher.mathpix.com for three-dimensional graphs you can actually control. Here's Rahul's equation with $a=5$, plotted along with the $xy$-, $yz$-, and $xz$-planes so you can focus on the part of the graph in the first octant:



enter image description here






share|cite|improve this answer























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    up vote
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    Rahul was right; that looks like exactly the right kind of equation. Unfortunately, Wolfram seems to be plotting it in a very unhelpful orientation. Check out grapher.mathpix.com for three-dimensional graphs you can actually control. Here's Rahul's equation with $a=5$, plotted along with the $xy$-, $yz$-, and $xz$-planes so you can focus on the part of the graph in the first octant:



    enter image description here






    share|cite|improve this answer



























      up vote
      0
      down vote













      Rahul was right; that looks like exactly the right kind of equation. Unfortunately, Wolfram seems to be plotting it in a very unhelpful orientation. Check out grapher.mathpix.com for three-dimensional graphs you can actually control. Here's Rahul's equation with $a=5$, plotted along with the $xy$-, $yz$-, and $xz$-planes so you can focus on the part of the graph in the first octant:



      enter image description here






      share|cite|improve this answer

























        up vote
        0
        down vote










        up vote
        0
        down vote









        Rahul was right; that looks like exactly the right kind of equation. Unfortunately, Wolfram seems to be plotting it in a very unhelpful orientation. Check out grapher.mathpix.com for three-dimensional graphs you can actually control. Here's Rahul's equation with $a=5$, plotted along with the $xy$-, $yz$-, and $xz$-planes so you can focus on the part of the graph in the first octant:



        enter image description here






        share|cite|improve this answer














        Rahul was right; that looks like exactly the right kind of equation. Unfortunately, Wolfram seems to be plotting it in a very unhelpful orientation. Check out grapher.mathpix.com for three-dimensional graphs you can actually control. Here's Rahul's equation with $a=5$, plotted along with the $xy$-, $yz$-, and $xz$-planes so you can focus on the part of the graph in the first octant:



        enter image description here







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        answered Nov 24 at 4:59


























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        Robert Howard































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