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# Complex function domain colouring Watch

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1. 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!
2. (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 ? Raising complex numbers to complex powers and getting a function out of it is notoriously tricky!
3. (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.
4. (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!!
5. (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!!!!!
6. (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 ? 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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Updated: October 11, 2016
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