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Complex function domain colouring

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    I'm a tutor supporting a student as he works through his Extended Project Qualification and am looking for anyone who could help out with producing a complex colour domain plot of the function F(z)=z^(1/z), have used a couple of web apps but resolution is poor so any help would be gratefully received!
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    (Original post by GreenGlow)
    I'm a tutor supporting a student as he works through his Extended Project Qualification and am looking for anyone who could help out with producing a complex colour domain plot of the function F(z)=z^(1/z), have used a couple of web apps but resolution is poor so any help would be gratefully received!
    Do you mean this sort of plot? I must admit, I only ever try to do them in Mathematica or Matlab. However, there is a Python plugin for Gimp (which I have not used) which looks pretty impressive, if you don't have access to these.

    May I suggest that you steer your student away from z^{1/z} ? Raising complex numbers to complex powers and getting a function out of it is notoriously tricky!
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    (Original post by GreenGlow)
    I'm a tutor supporting a student as he works through his Extended Project Qualification and am looking for anyone who could help out with producing a complex colour domain plot of the function F(z)=z^(1/z), have used a couple of web apps but resolution is poor so any help would be gratefully received!
    Have no software myself, but this may be of some use to you.
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    (Original post by GreenGlow)
    I'm a tutor supporting a student as he works through his Extended Project Qualification and am looking for anyone who could help out with producing a complex colour domain plot of the function F(z)=z^(1/z), have used a couple of web apps but resolution is poor so any help would be gratefully received!
    exam solutions is great!!
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    (Original post by GreenGlow)
    I'm a tutor supporting a student as he works through his Extended Project Qualification and am looking for anyone who could help out with producing a complex colour domain plot of the function F(z)=z^(1/z), have used a couple of web apps but resolution is poor so any help would be gratefully received!
    i mean desmos!!!!!
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    (Original post by Gregorius)
    Do you mean this sort of plot? I must admit, I only ever try to do them in Mathematica or Matlab. However, there is a Python plugin for Gimp (which I have not used) which looks pretty impressive, if you don't have access to these.

    May I suggest that you steer your student away from z^{1/z} ? Raising complex numbers to complex powers and getting a function out of it is notoriously tricky!
    The plots produced by Mathematica/Matlab are exactly what I'm looking for! The function we are looking at is f(x) = x^(1/x) (Steiner's calculus problem) but I thought I would introduce how this function acts on the complex plane as an intro to complex numbers.
 
 
 
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