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Blog post: ajb: Some Julia sets

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julia1

 

Above is the Julia set of $latex F_{c} = e^{z^{3}}$ at the point $latex - 0.621$.

 

julia2

 

Above is the Julia set of $latex F_{c} = (1+z+ frac{z^{2}}{2})Exp[z^{-3} -z]$ at the point $latex -0.6 -i$.

 

julia3

 

Above is the Julia set of $latex F_{c} =-frac{cosh left(-z+1+frac{1}{z}-frac{1}{z^2}+frac{1}{z^3}right)}{|z|}+sinh

left(-z+1+frac{1}{z}-frac{1}{z^2}+frac{1}{z^3}right)$ at the point $latex -(0.62-0.4 i)$.

 

I have posted other Julia sets here.

 

You can find out more about Juila sets here.


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