How to plot the Wolfram Alpha grid? [MATLAB]












-1















I would like to plot for any function this grid :



This is the special case for f(z) -> 1/z



enter image description here



This is a typical graph you can find on wolfram alpha. Nevertheless I don't know how to proceed. The idea would be to see where the lines of the complex grid of the 1-square is sent after applying f.



One thing that could be great would be to add colors on the grid in order to see where the left part is sent. (like here : https://www.youtube.com/watch?v=JX3VmDgiFnY)
If you have any idea... thank you.






matlab wolframalpha







share|improve this question



























    -1















    I would like to plot for any function this grid :



    This is the special case for f(z) -> 1/z



    enter image description here



    This is a typical graph you can find on wolfram alpha. Nevertheless I don't know how to proceed. The idea would be to see where the lines of the complex grid of the 1-square is sent after applying f.



    One thing that could be great would be to add colors on the grid in order to see where the left part is sent. (like here : https://www.youtube.com/watch?v=JX3VmDgiFnY)
    If you have any idea... thank you.






    matlab wolframalpha







    share|improve this question

























      -1












      -1








      -1








      I would like to plot for any function this grid :



      This is the special case for f(z) -> 1/z



      enter image description here



      This is a typical graph you can find on wolfram alpha. Nevertheless I don't know how to proceed. The idea would be to see where the lines of the complex grid of the 1-square is sent after applying f.



      One thing that could be great would be to add colors on the grid in order to see where the left part is sent. (like here : https://www.youtube.com/watch?v=JX3VmDgiFnY)
      If you have any idea... thank you.






      matlab wolframalpha







      share|improve this question














      I would like to plot for any function this grid :



      This is the special case for f(z) -> 1/z



      enter image description here



      This is a typical graph you can find on wolfram alpha. Nevertheless I don't know how to proceed. The idea would be to see where the lines of the complex grid of the 1-square is sent after applying f.



      One thing that could be great would be to add colors on the grid in order to see where the left part is sent. (like here : https://www.youtube.com/watch?v=JX3VmDgiFnY)
      If you have any idea... thank you.






      matlab wolframalpha




      matlab wolframalpha






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Nov 25 '18 at 21:28









      Marine GalantinMarine Galantin

      1448




      1448
























          1 Answer
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          Try the code below. I have updated the answer to show the lines in different colors.



          clear
          
clc
          

          
N = 101;
          
x = linspace(-1, 1, N);
          
y = x;
          
[X,Y] = meshgrid(x,y);
          

          
Z = X + Y*1i;
          

          
f = 1./Z;
          

          
U = real(f);
          
V = imag(f);
          

          
%Plot transformed mesh
          
hold off
          
plot(U,V,'b-');
          
hold on
          
plot(U',V','r-');
          

          
xlim([-5,5]);
          
ylim([-5,5]);
          
axis equal





          share|improve this answer

























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            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            3














            Try the code below. I have updated the answer to show the lines in different colors.



            clear
            
clc
            

            
N = 101;
            
x = linspace(-1, 1, N);
            
y = x;
            
[X,Y] = meshgrid(x,y);
            

            
Z = X + Y*1i;
            

            
f = 1./Z;
            

            
U = real(f);
            
V = imag(f);
            

            
%Plot transformed mesh
            
hold off
            
plot(U,V,'b-');
            
hold on
            
plot(U',V','r-');
            

            
xlim([-5,5]);
            
ylim([-5,5]);
            
axis equal





            share|improve this answer






























              3














              Try the code below. I have updated the answer to show the lines in different colors.



              clear
              
clc
              

              
N = 101;
              
x = linspace(-1, 1, N);
              
y = x;
              
[X,Y] = meshgrid(x,y);
              

              
Z = X + Y*1i;
              

              
f = 1./Z;
              

              
U = real(f);
              
V = imag(f);
              

              
%Plot transformed mesh
              
hold off
              
plot(U,V,'b-');
              
hold on
              
plot(U',V','r-');
              

              
xlim([-5,5]);
              
ylim([-5,5]);
              
axis equal





              share|improve this answer




























                3












                3








                3







                Try the code below. I have updated the answer to show the lines in different colors.



                clear
                
clc
                

                
N = 101;
                
x = linspace(-1, 1, N);
                
y = x;
                
[X,Y] = meshgrid(x,y);
                

                
Z = X + Y*1i;
                

                
f = 1./Z;
                

                
U = real(f);
                
V = imag(f);
                

                
%Plot transformed mesh
                
hold off
                
plot(U,V,'b-');
                
hold on
                
plot(U',V','r-');
                

                
xlim([-5,5]);
                
ylim([-5,5]);
                
axis equal





                share|improve this answer















                Try the code below. I have updated the answer to show the lines in different colors.



                clear
                
clc
                

                
N = 101;
                
x = linspace(-1, 1, N);
                
y = x;
                
[X,Y] = meshgrid(x,y);
                

                
Z = X + Y*1i;
                

                
f = 1./Z;
                

                
U = real(f);
                
V = imag(f);
                

                
%Plot transformed mesh
                
hold off
                
plot(U,V,'b-');
                
hold on
                
plot(U',V','r-');
                

                
xlim([-5,5]);
                
ylim([-5,5]);
                
axis equal






                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited Nov 27 '18 at 0:14

























                answered Nov 26 '18 at 4:33









                SavithruSavithru

                602511




                602511






























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